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pages = "1554--1568",
}
@inproceedings{MAzaiez_AQuarteroni_1994a,
author = "M. Azaiez and A. Quarteroni",
title = "A spectral {S}tokes solver in domain decomposition methods",
booktitle = "Domain Decomposition Methods in Scientific and Engineering
Computing: Proceedings of the Seventh International
Conference on Domain Decomposition",
editors = "D. E. Keyes and J. Xu",
series = "Contemporary Mathematics",
volume = "180",
publisher = "American Mathematical Society",
address = "Providence, Rhode Island",
year = "1994",
pages = "151--156",
}
@book{KAziz_ASettari_1979a,
author = "K. Aziz and A. Settari",
title = "Petroleum reservoir simulation",
publisher = "Applied Science Publishers",
address = "London",
year = "1979",
}
@article{NBaaziz_CLabit_1994a,
author = "N. Baaziz and C. Labit",
title = "Multiconstraint Wiener based motion compensation using
wavelet pyramids",
journal = "IEEE Trans. Image Process",
volume = "3",
year = "1994",
pages = "688--692",
}
@article{IBabuska_1957a,
author = "I. Babu\v{s}ka",
title = "{\"U}ber {S}chwarzsche {A}lgorithmen in partielle
{D}ifferentialgleichungen der mathematischen {P}hysik",
journal = "ZAMM",
volume = "37",
year = "1957",
pages = "243--245",
}
@article{IBabuska_1958a,
author = "I. Babu{\v s}ka",
title = "On the {S}chwarz algorithm in the theory of differential
equations of mathematical physics",
journal = "Tchecosl. Math. J.",
volume = "8",
year = "1958",
pages = "328--342",
}
@article{IBabuska_1970a,
author = "I. Babu{\v s}ka",
title = "Finite element methods for domains with corners",
journal = "Computing",
volume = "6",
year = "1970",
pages = "264--273",
}
@article{IBabuska_1971a,
author = "I. Babu{\v s}ka",
title = "Error bounds for the finite element method",
journal = "Numer. Math.",
volume = "16",
year = "1971",
pages = "322--333",
}
@incollection{IBabuska_1988a,
author = "I. Babu{\v s}ka",
title = "The p and h--p versions of the finite element method:
{T}he state of the art",
booktitle = "Finite Elements, Theory and Applications",
editor = "D. L. Dwoyer and M. Y. Hussaini and R. G. Voigt",
publisher = "Springer--Verlag",
address = "New York",
year = "1988",
pages = "",
}
@incollection{IBabuska_AKAziz_1972a,
author = "I. Babu{\v s}ka and A. K. Aziz",
title = "Survey lectures on the mathematical foundation of the finite
element method",
booktitle = "The Mathematical Foundation of the Finite Element Method with
Applications to Partial Differential Equations",
editor = "A. K. Aziz",
publisher = "Academic Press",
address = "New York",
year = "1972",
pages = "3--359",
}
@article{IBabuska_AWCraig_JMandel_JPitkaranta_1991a,
author = "I. Babu{\v s}ka and A. W. Craig and J. Mandel and
J. Pitk{\"a}ranta",
title = "Efficient preconditioning for the {$p$}-version finite
element method in two dimensions",
journal = "SIAM J. Numer. Anal.",
volume = "28",
year = "1991",
pages = "624--662"
}
@article{IBabuska_MRDorr_1981a,
author = "I. Babu{\v s}ka and M. R. Dorr",
title = "Error estimates for the combined h and p versions of the
finite element method",
journal = "Numer. Math.",
volume = "37",
year = "1981",
pages = "257--277",
}
@article{IBabuska_MGriebel_JPitkaranta_1989a,
author = "I. Babu{\v s}ka and M. Griebel and J. Pitk{\"a}ranta",
title = "The problem of selecting the shape functions for a p--type
finite element",
journal = "Int. J. Numer. Meth. Engng.",
volume = "28",
year = "1989",
pages = "1891--1908",
}
@article{IBabuska_MSuri_1987a,
author = "I. Babu{\v s}ka and M. Suri",
title = "The h--p version of the finite element method with
quasiuniform meshes",
journal = "RAIRO Math. Mod. and Num. Anal.",
volume = "21",
year = "1987",
pages = "",
}
@article{IBabuska_MSuri_1987b,
author = "I. Babu{\v s}ka and M. Suri",
title = "The optimal convergence rate of the p--version of the
finite element method",
journal = "SIAM J. Numer. Anal.",
volume = "24",
year = "1987",
pages = "750--776",
}
@article{IBabuska_BASzabo_INKatz_1981a,
author = "I. Babu{\v s}ka and B. A. Szab{\o} and I. N. Katz",
title = "The p--version of the finite element method",
journal = "SIAM J. Numer. Anal.",
volume = "18",
year = "1981",
pages = "515--545",
}
@phdthesis{BBachmann_1993a,
author = "B. Bachmann",
title = "Adaptive {M}ehrgitterverfahren zur {L}{\"o}sung der
station{\"a}ren {H}albleitrgleichungen",
school = "Universit{\"a}t Z{\"u}rich",
year = "1993",
}
@inproceedings{BBachmann_ABBoveri_1993a,
author = "B. Bachmann and A. B. Boveri",
title = "A multigrid solver for the semiconductor equations",
booktitle = "Sixth Copper Mountain Conference on Multigrid Methods",
volume = "CP 3224",
editor = "N. D. Melson and T. A. Manteuffel and S. F. McCormick",
publisher = "NASA",
address = "Hampton, VA",
year = "1993",
pages = "1--15",
}
@article{LBadea_1991a,
author = "L. Badea",
title = "On the {S}chwarz alternating method with more than two
subdomains for nonlinear monotone problems",
journal = "SIAM J. Numer. Anal.",
volume = "28",
year = "1991",
pages = "179--204",
}
@article{LBadea_PGilormini_1994a,
author = "L. Badea and P. Gilormini",
title = "Application of a domain decomposition method to
elastoplastic problems",
journal = "Int. J. Solids Struct.",
volume = "31",
year = "1994",
pages = "643--656",
}
@book{SBBaden_1999,
author = "S. B. Baden",
title = "Structured Adaptive Mesh Refinement (Samr) Grid Methods",
series = "Ima Volumes in Mathematics and Its Applications",
volume = "117",
publisher = "Springer-- Verlag",
address = "New York",
year = "1999",
}
@article{MBaeker_1995a,
author = "M. Baeker",
title = "{ISU} -- multigrid for computing propagators",
journal = "Nucl. Phys. B, Proc. Suppl.",
volume = "42",
year = "1995",
pages = "846--848",
}
@article{DBai_ABrandt_1987a,
author = "D. Bai and A. Brandt",
title = "Local mesh refinement multilevel techniques",
journal = "SIAM J. Sci. Stat. Comput.",
volume = "8",
year = "1987",
pages = "109--134"
}
@article{LBai_NKMitra_MFiebig_AKost_1994a,
author = "L. Bai and N. K. Mitra and M. Fiebig and A. Kost",
title = "A multigrid method for predicting periodically fully
developed flow",
journal = "Int. J. Numer. Meth. Fluids",
volume = "18",
year = "1994",
pages = "843--852",
}
@article{XSBai_LFuchs_1992a,
author = "X.--S. Bai and L. Fuchs",
title = "A fast multi--grid method for 3--{D} turbulent incompressible
flows",
journal = "Int. J. of Numer. Meth. Heat Fluid Flow",
volume = "2",
year = "1992",
pages = "",
}
@article{XSBai_LFuchs_1994a,
author = "X.--S. Bai and L. Fuchs",
title = "Modelling of turbulent reacting flows past a bluff body:
{A}ssessment of accuracy and efficiency ",
journal = "Computer Fluids",
volume = "23",
year = "1994",
pages = "507--521",
}
@inproceedings{XSBai_LFuchs_1994b,
author = "X.--S. Bai and L. Fuchs",
title = "A multi--grid method for calculation of turbulence and
combustion",
booktitle = "Multigrid Methods IV, Proceedings of the Fourth European
Multigrid Conference, Amsterdam, July 6-9, 1993",
editors = "P. W. Hemker and P. Wesseling",
series = "ISNM",
volume = "116",
publisher = "Birkh{\"a}user",
address = "Basel",
year = "1994",
pages = "131--142",
}
@article{ZZBai_1996a,
author = "Z.--Z. Bai",
title = "A class of hybrid algebraic multilevel preconditioning
methods",
journal = "Appl. Numer. Math.",
volume = "19",
year = "1996",
pages = "389--399",
}
@inproceedings{ZZBai_OAxelsson_1996a,
author = "Z.--Z. Bai and O. Axelsson",
title = "A unified framework for the construction of various algebraic
multilevel preconditioning methods",
booktitle = "AMLI'96: Proceedings of the Conference on Algebraic
Multilevel Iteration Methods with Applications",
editors = "O. Axelsson and B. Polman",
volume = "1",
publisher = "University of Nijmegan",
address = "Nijmegan, The Netherlands",
year = "1996",
pages = "63--76",
}
@proceedings{DHBailey_PEBjorstad_JRGilbert_MDMascagni_RSchrieber_HDSimon_VJTorczon_LTWatson_1995a,
editor = "D. H. Bailey and P. E. Bj{\/o}rstad and J. R. Gilbert and
M. D. Mascagni and R. Schrieber and H. D. Simon and
V. J. Torczon and L. T. Watson",
title = "Parallel Processing for Scientific Computing",
series = "SIAM Proceedings",
volume = "",
publisher = "SIAM",
address = "Philadelphia",
year = "1995",
}
@article{MBaker_1995a,
author = "M. B{\"a}ker",
title = "Localization in two dimensional {SU}(2) lattice
gauge theory and a new multigrid method",
journal = "Int. J. Mod. Phys. C, (Phys. Comput.)",
volume = "6",
year = "1995",
pages = "85--104",
}
@article{MBaker_GMack_MSpeh_1993a,
author = "M. B{\"a}ker and G. Mack and M. Speh",
title = "Multigrid meets neural nets",
journal = "Nucl. Phys. B, Proc. Suppl.",
volume = "30",
year = "1993",
pages = "269--272",
}
@article{NSBakhvalov_1966a,
author = "N. S. Bakhvalov",
title = "On the convergence of a relaxation method under natural
constraints on an elliptic operator",
journal = "Z. Vycisl. Mat. i. Mat. Fiz.",
volume = "6",
year = "1966",
pages = "861--883"
}
@inproceedings{NSBakhvalov_AVKnyazev_1989a,
author = "N. S. Bakhvalov and A. V. Knyazev",
title = "A new iterative algorithm for solving the fictitious fluxes
method problems for elliptic equations",
booktitle = "Proc. EQUADIFF 7",
editor = "",
publisher = "",
address = "Prague",
year = "1989",
pages = "",
}
@article{NSBakhvalov_AVKnyazev_1990a,
author = "N. S. Bakhvalov and A. V. Knyazev",
title = "A new iterative algorithm for solving problems of the
fictitious flow method for elliptic equations",
journal = "Soviet Math. Doklady",
volume = "41",
year = "1990",
pages = "57--62",
}
@inproceedings{NSBakhvalov_AVKnyazev_1994a,
author = "N. S. Bakhvalov and A. V. Knyanzev",
title = "Preconditioned iterative methods in a subspace for linear
algebraic equations with large jumps in the coefficients",
booktitle = "Domain Decomposition Methods in Scientific and Engineering
Computing: Proceedings of the Seventh International
Conference on Domain Decomposition",
editors = "D. E. Keyes and J. Xu",
series = "Contemporary Mathematics",
volume = "180",
publisher = "American Mathematical Society",
address = "Providence, Rhode Island",
year = "1994",
pages = "157--162",
}
@incollection{NSBakhvalov_AVKnyazev_1994b,
author = "N. S. Bakhvalov and A. V. Knyazev",
title = "Fictitious domain methods and computation of homogenized
properties of composites with a periodic structure of
essentially different components",
booktitle = "Numerical Methods and Applications",
editors = "G. I. Marchuk",
publisher = "CRC Press",
address = "Boca Raton",
year = "1994",
pages = "221--276",
}
@inproceedings{NSBakhvalov_AVKnyazev_GMKobelkov_1991a,
author = "N. S. Bakhvalov and A. V. Knyazev and G. M. Kobel'kov",
title = "Iterative methods for solving equations with highly varying
coefficients",
booktitle = "Fourth International Symposium on Domain Decomposition
Methods for Partial Differential Equations",
editor = "R. Glowinski and Yu. A. Kuznetsov and G. A. Meurant and
J. P{\'e}riaux and O. B. Widlund",
publisher = "SIAM",
address = "Philadelphia",
year = "1991",
pages = "197--205",
}
@article{NSBakhvalov_MYOrekhov_1982a,
author = "N. S. Bakhvalov and M. Yu. Orekhov",
title = "On fast methods for solving the {P}oisson equation",
journal = "Z. Vycisl. Mat. i. Mat. Fiz.",
volume = "22",
year = "1982",
pages = "1386--1392",
}
@article{EBalas_1965a,
author = "E. Balas",
title = "Solution of large--scale transportation problems through
aggregation",
journal = "ORSA",
year = "1965",
}
@article{BSBaldwin_HLomax_1978a,
author = "B. S. Baldwin and H. Lomax",
title = "Thin layer approximation and algebraic model for separated
turbulent flows",
journal = "AIAA",
volume = "78--257",
year = "1978",
}
@inproceedings{VBandy_RSweet_1991a,
author = "V. Bandy and R. Sweet",
title = "A set of three drivers for boxmg: a black box multigrid
solver",
booktitle = "Preliminary Proceedings of the Fifth Copper Mountain
Conference on Multigrid Methods",
volume = "1",
editor = "T. A. Manteuffel and S. F. McCormick",
publisher = "University of Colorado",
address = "Denver",
year = "1991",
pages = "47--55" ,
}
@article{VBandy_RSweet_1992a,
author = "V. Bandy and R. Sweet",
title = "A set of three drivers for {BOXMG}: {A} black-box multigrid
solver",
journal = "Comm. Appl. Num. Methods",
volume = "8",
year = "1992",
pages = "563--571"
}
@article{RNBanerjee_MWBenson_1991a,
author = "R. N. Banerjee and M. W. Benson",
title = "An approximate inverse based multigrid approach to the
biharmonic problem",
journal = "Int. J. Comput. Math.",
volume = "40",
year = "1991",
pages = "201--210"
}
@phdthesis{REBank_1975a,
author = "R. E. Bank",
title = "Marching Algorithms for Elliptic Boundary Value Problems",
school = "Division of Engineering and Applied Physics,
Harvard University",
address = "Cambridge, MA",
year = "1975",
}
@incollection{REBank_1980a,
author = "R. E. Bank",
title = "A multi-level iterative method for nonlinear elliptic
equations",
booktitle= "Elliptic Problem Solvers",
publisher = "Academic Press",
editor = "M. H. Schultz",
address = "New York",
year = "1981",
pages = "1--16",
}
@article{REBank_1981a,
author = "R. E. Bank",
title = "A comparison of two multi--level iterative methods for
nonsymmetric an indefinite elliptic finite element equations",
journal = "SIAM J. Numer. Anal.",
volume = "18",
year = "1981",
pages = "724--743"
}
@incollection{REBank_1981b,
author = "R. E. Bank",
title = "A multi--level iterative method for nonlinear elliptic
equations",
booktitle = "Elliptic Problem Solvers",
editor = "M. H. Schultz",
publisher = "Academic Press",
address = "New York",
year = "1981",
pages = "1--16",
}
@article{REBank_1982a,
author = "R. E. Bank",
title = "Analysis of a multi--level inverse iteration procedure for
eigenvalue problems",
journal = "SIAM J. Numer. Anal.",
volume = "19",
year = "1982",
pages = "886--898"
}
@incollection{REBank_1984a,
author = "R. E. Bank",
title = "Efficient implementation of local mesh refinement algorithms",
booktitle = "Adaptive Computational Methods for Partial
Differential Equations",
editor = "I. Babu{\v s}ka and J. Chandra and J. E. Flaherty",
publisher = "SIAM",
address = "Philadelphia",
year = "1984",
pages = "74--81",
}
@inproceedings{REBank_1986a,
author = "R. E. Bank",
title = "A--posteriori error estimates, adaptive local mesh
refinement, and multigrid iteration",
booktitle = "Multigrid Methods II",
editor = "W. Hackbusch and U. Trottenberg",
publisher = "Springer--Verlag",
address = "Berlin",
year = "1986",
pages = "7--22"
}
@incollection{REBank_1986b,
author = "R. E. Bank",
title = "Analysis of a local a posteriori error estimator for
elliptic equations",
booktitle = "Accuracy Estimates and Adaptivity in Finite
Element Computations",
editors = "I. Babu{\v s}ka and O. C. Zienkiewicz and
E{.~Arantes} e. Oliveira",
publisher = "J. Wiley \& Sons",
address = "New York",
year = "1986",
pages = "119--128",
}
@book{REBank_1990a,
author = "R. E. Bank",
title = "PLTMG: A Software Package for Solving Elliptic Partial
Differential Equations -- Users' Guide 6.0",
series = "Frontiers in Applied Mathematics",
volume = "7",
publisher = "SIAM Books",
address = "Philadelphia",
year = "1990",
}
@book{REBank_1990b,
author = "R. E. Bank",
title = "Computational Aspects of {VLSI} Design with an Emphasis on
Semiconductor Device Simulation",
series = "Lecture Notes in Applied Math.",
volume = "25",
publisher = "American Mathematical Society",
address = "Providence",
year = "1990",
}
@book{REBank_1994a,
author = "R. E. Bank",
title = "PLTMG: A Software Package for Solving Elliptic Partial
Differential Equations -- Users' Guide 7.0",
series = "Frontiers in Applied Mathematics",
volume = "15",
publisher = "SIAM Books",
address = "Philadelphia",
year = "1994",
}
@incollection{REBank_1994b,
author = "R. E. Bank",
title = "Hierarchical preconditioners for elliptic partial
differential equations",
booktitle = "Large Scale Matrix Problems and the Numerical Solution of
Partial Differential Equations",
editors = "J. Gilbert and D. Kershaw",
publisher = "Oxford University Press",
address = "Oxford, UK",
year = "1994",
pages = "121--155",
}
@inbook{REBank_1996a,
author = "R. E. Bank",
title = "Hierarchical bases and the finite element method",
series = "Acta Numerica",
volume = "5",
publisher = "Cambridge University Press",
address = "Cambridge",
year = "1996",
pages = "1--43",
}
@inproceedings{REBank_MBenbourenane_1991a,
author = "R. E. Bank and M. Benbourenane",
title = "A {F}ourier analysis of the two--level hierarchical basis
multigrid method for convection--diffusion equations",
booktitle = "Fourth International Symposium on Domain Decomposition
Methods for Partial Differential Equations",
editor = "R. Glowinski and Yu. A. Kuznetsov and G. A. Meurant and
J. P{\'e}riaux and O. B. Widlund",
publisher = "SIAM",
address = "Philadelphia",
year = "1991",
pages = "178--184",
}
@article{REBank_MBenbourenane_1992a,
author = "R. E. Bank and M. Benbourenane",
title = "The hierarchical basis multigrid method for
convection--diffusion equations",
journal = "Numer. Math.",
volume = "61",
year = "1992",
pages = "7--37",
}
@book{REBank_RBulirsch_HGajewski_KMerten_1994a,
author = "R. E. Bank and R. Bulirsch and H. Gajewski and K. Merten",
title = "Mathematical Modelling and Simulation of Electrical Circuits
and Semiconductor Devices",
series = "Int. Series Numer. Math.",
volume = "117",
publisher = "Birkh{\" a}user",
address = "Basel",
year = "1994",
}
@book{REBank_RBulirsch_KMerten_1990a,
author = "R. E. Bank and R. Bulirsch and K. Merten",
title = "Mathematical Modelling and Simulation of Electrical Circuits
and Semiconductor Devices",
series = "Int. Series Numer. Math.",
volume = "93",
publisher = "Birkh{\" a}user",
address = "Basel",
year = "1990",
}
@article{REBank_TFChan_1986a,
author = "R. E. Bank and T. F. Chan",
title = "{PLTMGC}: A multi--grid continuation program for
parameterized nonlinear elliptic systems",
journal = "SIAM J. Sci. Stat. Comput.",
volume = "7",
year = "1986",
pages = "540--559"
}
@article{REBank_TFChan_1993a,
author = "R. E. Bank and T. F. Chan",
title = "An analysis of the composite step bi-conjugate gradient
method",
journal = "Numer. Math.",
volume = "66",
year = "1993",
pages = "295--319",
}
@article{REBank_TFChan_1994a,
author = "R. E. Bank and T. F. Chan",
title = "A composite step bi-conjugate gradient algorithm for
nonsymmetric linear systems",
journal = "Numer. Algor.",
volume = "7",
year = "1994",
pages = "1--16",
}
@article{REBank_TFChan_WMCoughran_RKSmith_1989a,
author = "R. E. Bank and T. F. Chan and W. M. Coughran and R. K. Smith",
title = "The alternating-block-factorization procedure for
systems of partial differential equations",
journal = "BIT",
volume = "29",
year = "1989",
pages = "938--954",
}
@article{REBank_CCDouglas_1985a,
author = "R. E. Bank and C. C. Douglas",
title = "Sharp estimates for multigrid rates of convergence with
general smoothing and acceleration",
journal = "SIAM J. Numer. Anal.",
volume = "22",
year = "1985",
pages = "617--633"
}
@article{REBank_TDupont_1981a,
author = "R. E. Bank and T. Dupont",
title = "An optimal order process for solving elliptic finite element
equations",
journal = "Math. Comp.",
volume = "36",
year = "1981",
pages = "35--51"
}
@article{REBank_TDupont_HYserentant_1988a,
author = "R. E. Bank and T. Dupont and H. Yserentant",
title = "The hierarchical basis multigrid method",
journal = "Numer. Math.",
volume = "52",
year = "1988",
pages = "427--458"
}
@inproceedings{REBank_SGutsch_1997a,
author = "R. E. Bank and S. Gutsch",
title = "Hierarchical basis for the convection-diffusion equation
on unstructured meshes",
booktitle = "Ninth International Conference on Domain Decomposition
Methods",
editors = "P. E. Bj{\/o}rstad and M. S. Espedal and D. E. Keyes",
publisher = "DDM.org",
address = "Bergen",
year = "1997",
pages = "251--265",
}
@inproceedings{REBank_SGutsch_1998a,
author = "R. E. Bank and S. Gutsch",
title = "The generalized hierarchical basis two-level method for the
convection-diffusion equation on a regular grid",
booktitle = "Multigrid Methods V",
editors = "W. Hackbusch and G. Wittum",
series = "Lecture Notes in Computational Science and Engineering",
volume = "3",
publisher = "Springer",
address = "Berlin",
year = "1998",
pages = "1--20",
}
@inproceedings{REBank_JWJerome_DJRose_1982a,
author = "R. E. Bank and J. W. Jerome and D. J. Rose",
title = "Analytical and numerical aspects of semiconductor device
modeling",
booktitle = "Computing Methods in Applied Sciences and Engineering V",
editor = "R. Glowinski and J.--L. Lions",
publisher = "North--Holland",
address = "Amsterdam",
year = "1982",
pages = "593--597",
}
@incollection{REBank_JMandel_SFMcCormick_1985a,
author = "R. E. Bank and J. Mandel and S. F. McCormick",
title = "Variational multigrid theory",
booktitle = "Multigrid Methods",
editors = "S. F. McCormick",
publisher = "SIAM",
address = "Philadelphia",
year = "1985",
pages = "131--178",
}
@inproceedings{REBank_HDMittelmann_1986a,
author = "R. E. Bank and H. D. Mittelmann",
title = "Continuation and multi--grid for nonlinear elliptic systems",
booktitle = "Multigrid Methods II",
editor = "W. Hackbusch and U. Trottenberg",
publisher = "Springer--Verlag",
address = "Berlin",
year = "1986",
pages = "23--37"
}
@article{REBank_HDMittelmann_1989a,
author = "R. E. Bank and H. D. Mittelmann",
title = "Stepsize selection in continuation procedures and damped
{N}ewton's method",
journal = "J. Comp. and Appl. Math.",
volume = "26",
year = "1989",
pages = "67--78",
}
@article{REBank_DJRose_1981a,
author = "R. E. Bank and D. J. Rose",
title = "Global approximate {N}ewton methods",
journal = "Numer. Math.",
volume = "37",
year = "1981",
pages = "279--295"
}
@article{REBank_DJRose_1982a,
author = "R. E. Bank and D. J. Rose",
title = "Analysis of a multilevel iterative method for
nonlinear finite element equations",
journal = "Math. Comp.",
volume = "39",
year = "1982",
pages = "453--465"
}
@incollection{REBank_DJRose_1984a,
author = "R. E. Bank and D. J. Rose",
title = "Discretization and multilevel solution techniques for
nonlinear elliptic systems",
booktitle = "Elliptic Problem Solvers II",
editor = "G. Birkhoff and A. Schoenstadt",
publisher = "Academic Press",
address = "New York",
year = "1984",
pages = "493--505",
}
@article{REBank_DJRose_1987a,
author = "R. E. Bank and D. J. Rose",
title = "Some error estimates for the box scheme",
journal = "SIAM J. Numer. Anal.",
volume = "24",
year = "1987",
pages = "777--787"
}
@article{REBank_RFSantos_1993a,
author = "R. E. Bank and R. F. Santos",
title = "Analysis of some moving space-time finite element methods",
journal = "SIAM J. Numer. Anal.",
volume = "30",
year = "1993",
pages = "1--18",
}
@article{REBank_LRScott_1989a,
author = "R. E. Bank and L. R. Scott",
title = "On the conditioning of finite element equations with highly
refined meshes",
journal = "SIAM J. Numer. Anal.",
volume = "26",
year = "1989",
pages = "1383--1394",
}
@inproceedings{REBank_AHSherman_1978a,
author = "R. E. Bank and A. H. Sherman",
title = "Algorithmic aspects of the multi--level solution of finite
element equations",
booktitle = "Sparse Matrix Proceedings 1978",
editor = "I. S. Duff and G. W. Stewart",
publisher = "SIAM",
address = "Philadelphia",
year = "1979",
pages = "62--89",
}
@incollection{REBank_AHSherman_1979a,
author = "R. E. Bank and A. H. Sherman",
title = "A comparison of smoothing iterations for multi--level methods",
booktitle = "Advances in Computer Methods for Partial Differential
Equations III",
editor = "R. Vichnevetsky and R. S. Stepleman",
publisher = "IMACS",
address = "New York",
year = "1979",
pages = "143--147",
}
@inproceedings{REBank_AHSherman_1979b,
author = "R. E. Bank and A. H. Sherman",
title = "A multi--level iterative method for solving finite element
equations",
booktitle = "Proceedings of the Fifth Symposium on Reservoir Simulation",
publisher = "Society of Petroleum Engineers of AIME",
address = "Dallas",
year = "1979",
pages = "117--126"
}
@incollection{REBank_AHSherman_1980a,
author = "R. E. Bank and A. H. Sherman",
title = "The use of adaptive grid refinement for badly behaved
elliptic partial differential equations",
booktitle= "Mathematics and Computers in Simulation, XXII",
publisher= "North-Holland",
address = "Amsterdam",
year = "1980",
pages = "18--24"
}
@article{REBank_AHSherman_1981a,
author = "R. E. Bank and A. H. Sherman",
title = "An adaptive multi--level method for elliptic boundary
value problems",
journal = "Computing",
volume = "26",
year = "1981",
pages = "91--105"
}
@inproceedings{REBank_AHSherman_AWeiser_1982a,
author = "R. E. Bank and A. H. Sherman and A. Weiser",
title = "On the regularity of local mesh refinement",
booktitle = "Proceedings of the IMACS Tenth World Conference",
editor = "",
publisher = "IMACS",
address = "New Brunswick, NJ",
year = "1982",
pages = "",
}
@incollection{REBank_AHSherman_AWeiser_1983a,
author = "R. E. Bank and A. H. Sherman and A. Weiser",
title = "Refinement algorithms and data structures for regular
local mesh refinement",
booktitle = "Scientific Computing: Applications of Mathematics and
Computing to the Physical Sciences",
editor = "R. S. Stepleman",
publisher = "North--Holland",
address = "Amsterdam",
year = "1983",
pages = "3--17",
}
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author = "R. E. Bank and R. K. Smith",
title = "A posteriori estimates based on hierarchical basis",
journal = "SIAM J. Numer. Anal.",
volume = "30",
year = "1993",
pages = "921--935",
}
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author = "R. E. Bank and R. K. Smith",
title = "Mesh Smoothing Using A Posteriori Error Estimates",
journal = "SIAM J. Numer. Anal.",
volume = "34",
year = "1997",
pages = "979-997",
}
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author = "R. E. Bank and A. Weiser",
title = "Some a posteriori error estimators for elliptic partial
differential equations",
journal = "Math. Comp.",
volume = "44",
year = "1985",
pages = "283--301"
}
@article{REBank_BDWelfert_HYserentant_1990a,
author = "R. E. Bank and B. D. Welfert and H. Yserentant",
title = "A class of iterative methods for solving mixed finite
element equations",
journal = "Numer. Math.",
volume = "56",
year = "1990",
pages = "645--666",
}
@incollection{REBank_HYserentant_1989a,
author = "R. E. Bank and H. Yserentant",
title = "Some remarks on the hierarchical basis multigrid method",
booktitle = "Domain Decomposition Methods",
editor = "T. F. Chan and R. Glowinski and J. P{\'e}riaux and
O. B. Widlund",
publisher = "SIAM",
address = "Philadelphia",
year = "1989",
pages = "140--146",
}
@inproceedings{REBank_JXu_1994a,
author = "R. E. Bank and J. Xu",
title = "The hierarchical basis multigrid method and incomplete {LU}
decomposition",
booktitle = "Domain Decomposition Methods in Scientific and Engineering
Computing: Proceedings of the Seventh International
Conference on Domain Decomposition",
editors = "D. E. Keyes and J. Xu",
series = "Contemporary Mathematics",
volume = "180",
publisher = "American Mathematical Society",
address = "Providence, Rhode Island",
year = "1994",
pages = "163--173",
}
@incollection{REBank_JXu_1995a,
author = "R. E. Bank and J. Xu",
title = "A hierarchical basis multigrid method for unstructured grids",
booktitle = "Fast Solvers for Flow Problems. Proceedings of the Tenth
GAMM-Seminar Kiel",
series = "Notes on Numerical Mathematics",
volume = "49",
editors = "W. Hackbusch and G. Wittum",
publisher = "Vieweg-Verlag",
address = "Braunschweig",
year = "1995",
pages = "1--13",
}
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author = "R. E. Bank and J. Xu",
title = "An algorithm for coarsening unstructured meshes",
journal = "Numer. Math.",
volume = "73",
year = "1996",
pages = "1--36",
}
@phdthesis{FBannasch_1983a,
author = "F. Bannasch",
title = "Mehrgitterverfahren f{\"u}r die dreidimensionale
{P}oissongleichung",
school = "Institut f{\"u}r Angewandte Mathematik, Universit{\"a}t Bonn",
year = "1983",
}
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author = "I. M. Barbour and N. E. Behilil and P. E. Gibbs and
G. Schierholz and M. Teper",
title = "The {L}anczos method in lattice gauge theories",
booktitle = "The Recursion Method and its Applications",
publisher = "Springer--Verlag",
address = "Berlin",
year = "1985",
}
@inproceedings{MBarcus_MPeric_GScheuerer_1988a,
author = "M. Barcus and M. Peri{\'c} and G. Sheuerer",
title = "A control volume based full multigrid procedure for the
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flows",
booktitle = "Proc. 7th GAMM Conf. on Num. Meth. in Fluid Mechanics",
series = "Notes on Num. Fluid Mechanics",
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publisher = "Vieweg",
address = "Braunschweig",
year = "1988",
pages = "",
}
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year = "1991",
pages = "623--629"
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volume = "13",
year = "1983",
pages = "215--228",
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year = "1993",
pages = "711--718",
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booktitle = "Adaptive Methods -- Algorithms, Theory and Applications",
editors = "W. Hackbusch and G. Wittum",
series = "Notes on Numerical Fluid Mechanics",
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address = "Braunschweig",
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Methods for Partial Differential Equations",
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year = "1981",
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author = "K. Becker",
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auf der {B}asis superschneller {L}{\"o}sungsverfahren II",
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author = "K. Becker",
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{P}otentialstr{\"o}mungen um {T}ragfl{\"a}chenprofile",
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Bonn",
year = "1985",
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author = "K. Becker",
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pages = "1--21",
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author = "K. Becker and U. Trottenberg",
title = "Fast multigrid methods and applications---a short survey
and one result on a special nearly singular problem",
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address = "Paris",
year = "1983",
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@article{RBecker_MBraack_2000a,
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pages = "363--379",
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title = "Adaptive error control for multigrid finite element methods",
journal = "Computing",
volume = "55",
year = "1995",
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booktitle = "Ninth International Conference on Domain Decomposition
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editors = "P. E. Bj{\/o}rstad and M. S. Espedal and D. E. Keyes",
publisher = "DDM.org",
address = "Bergen",
year = "1997",
pages = "283--289",
}
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M. Vidrascu",
title = "Variational formulation and algorithm for trace operator
in domain decomposition calculations",
booktitle = "Domain Decomposition Methods",
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publisher = "SIAM",
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year = "1989",
pages = "3--16",
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title = "Coupling {B}oltzmann and {E}uler equations without
overlapping",
booktitle = "Domain Decomposition Methods in Science and Engineering:
The Sixth International Conference on Domain Decomposition",
editors = "A. Quarteroni and J. P{\'e}riaux and Yu. A. Kuznetsov and
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publisher = "American Mathematical Society",
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title = "Numerical coupling of nonconservative or kinetic models with
the conservative compressible {N}avier--{S}tokes equations",
booktitle = "Fifth International Symposium on Domain Decomposition
Methods for Partial Differential Equations",
editor = "D. E. Keyes and T. F. Chan and G. A. Meurant and J. S. Scroggs
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publisher = "SIAM",
address = "Philadelphia",
year = "1992",
pages = "420--440",
}
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@phdthesis{FBourquin_1991a,
author = "F. Bourquin",
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multistructures {\/e}lastiques",
school = "Universit{\/e} Pierre et Marie Curie",
address = "Paris",
year = "1991",
}
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author = "F. Bourquin and F{.~d' }Hennezel",
title = "Application of domain decomposition techniques to modal
synthesis for eigenvalue problems",
booktitle = "Fifth International Symposium on Domain Decomposition
Methods for Partial Differential Equations",
editor = "D. E. Keyes and T. F. Chan and G. A. Meurant and J. S. Scroggs
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publisher = "SIAM",
address = "Philadelphia",
year = "1992",
pages = "214--223",
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booktitle = "Ninth International Conference on Domain Decomposition
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editors = "P. E. Bj{\/o}rstad and M. S. Espedal and D. E. Keyes",
publisher = "DDM.org",
address = "Bergen",
year = "1997",
pages = "290--303",
}
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author = "K. P. Bowman and J. Huang",
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author = "B. J. Braams",
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address = "Berlin",
year = "1986",
pages = "38--51"
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author = "K. Brackenridge",
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equation",
booktitle = "Sixth Copper Mountain Conference on Multigrid Methods",
volume = "CP 3224",
editor = "N. D. Melson and T. A. Manteuffel and S. F. McCormick",
publisher = "NASA",
address = "Hampton, VA",
year = "1993",
pages = "31--41",
}
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author = "D. Braess",
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}
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author = "D. Braess",
title = "The convergence rate of a multigrid method with
{G}auss--{S}eidel relaxation for the {P}oisson equation",
booktitle = "Multigrid Methods",
editor = "W. Hackbusch and U. Trottenberg",
series = "Lecture Notes in Mathematics",
volume = "960",
publisher = "Springer-Verlag",
address = "Berlin",
year = "1982",
pages = "368--386"
}
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author = "D. Braess",
title = "The convergence rate of a multigrid method with
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journal = "Math. Comp.",
volume = "42",
year = "1984",
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author = "D. Braess",
title = "On the combination of the multigrid method and
conjugate gradients",
booktitle = "Multigrid Methods II",
editor = "W. Hackbusch and U. Trottenberg",
publisher = "Springer--Verlag",
address = "Berlin",
year = "1986",
pages = "52--64"
}
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author = "D. Braess",
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journal = "Comput. Mech.",
volume = "3",
year = "1988",
pages = "321--329",
}
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author = "D. Braess",
title = "Towards algebraic multigrid for elliptic problems of second
order",
journal = "Computing",
volume = "55",
year = "1995",
pages = "379--393",
}
@book{DBraess_1997a,
author = "D. Braess",
title = "Finite Elements. Theory, Fast Solvers and Applications in
Solid Mechanics",
publisher = "Cambridge University Press",
address = "Cambridge",
year = "1997",
}
@article{DBraess_MBiebighauser_PGrassberger_RLeuverink_1993a,
author = "D. Braess and M. Biebigh{\"a}user and P. Grassberger and
R. Leuverink",
title = "Multi-grid methods for steady state diffusion in random
media",
journal = "J. Comput. Phys.",
volume = "107",
year = "1993",
pages = "118--123",
}
@article{DBraess_CBlomer_1990a,
author = "D. Braess and C. Bl{\"o}mer",
title = "A multigrid method for a parameter dependent problem in solid
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journal = "Numer. Math.",
volume = "57",
year = "1990",
pages = "747--761"
}
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author = "D. Braess and W. Dahmen",
title = "A cascadic multigrid algorithm for the {S}tokes equation",
journal = "Numer. Math.",
volume = "82",
year = "1999",
pages = "179--191",
}
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author = "D. Braess and M. Dryja and W. Hackbusch",
title = "A multigrid method for nonconforming {FE}-discretisations
with application to nonmatching grids",
journal = "Computing",
volume = "63",
year = "1999",
pages = "1--25",
}
@article{DBraess_WHackbusch_1983a,
author = "D. Braess and W. Hackbusch",
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journal = "SIAM J. Numer. Anal.",
volume = "20",
year = "1983",
pages = "967--975"
}
@book{DBraess_WHackbusch_UTrottenberg_1984a,
author = "D. Braess and W. Hackbusch and U. Trottenberg",
title = "Advances in Multi--Grid Methods",
series = "Notes on Numerical Fluid Mechanics",
volume = "11",
publisher = "Vieweg",
address = "Braunschweig",
year = "1984",
}
@article{DBraess_PPeisker_1987a,
author = "D. Braess and P. Peisker",
title = "A conjugate gradient method and a multigrid algorithm for
Morley's finite element approximation of the biharmonic
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journal = "Numer. Math.",
volume = "50",
year = "1987",
pages = "567--586",
}
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title = "An efficient smoother for the {S}tokes problem.",
journal = "Appl. Numer. Math.",
volume = "23",
year = "1997",
pages = "3--20",
}
@article{DBraess_RVerfurth_1990a,
author = "D. Braess and R. Verf{\"u}rth",
title = "Multi--grid methods for non--conforming finite element
methods",
journal = "SIAM J. Numer. Anal.",
volume = "27",
year = "1990",
pages = "979--986",
}
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author = "E. Brakkee and A. Segal",
title = "A parallel domain decomposition algorithm for the
incompressible {N}avier {S}tokes equations",
booktitle = "Proceedings of Massively Parallel Processing Applications and
Development, Delft, The Netherlands, June 21-23, 1994",
editors = "",
publisher = "Elsevier",
address = "Amsterdam",
year = "1994",
pages = "743--752",
}
@article{EBrakkee_ASegal_CGMKassels_1995a,
author = "E. Brakkee and A. Segal and C. G. M. Kassels",
title = "Parallel domain decomposition algorithm for the
incompressible {N}avier--{S}tokes equations",
journal = "Simul. Pract. Theory",
volume = "3",
year = "1995",
pages = "185--205",
}
@incollection{EBrakkee_CVuik_PWesseling_1997a,
author = "E. Brakkee and C. Vuik and P. Wesseling",
title = "Domain decomposition for the incompressible {N}avier--
{S}tokes equations: solving subdomain problems accurately
and inaccurately",
booktitle = "Domain Decomposition Methods in Sciences and Engineering",
editors = "R. Glowinski and J. P{\'e}riaux and Z.--C. Shi and O. Widlund",
series = "8th International Conference, Beijing, P. R. China",
volume = "",
publisher = "John Wiley \& Sons",
address = "Chichester, New York, Weinheim, Brisbane, Singapore, Toronto",
year = "1997",
pages = "443--451",
}
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author = "A. Brambilla and C. Carlenzoli and G. Gazzaniga and
P. Gervasio and G. Sacchi",
title = "Implementation of domain decomposition techniques on
n{CUBE}2 parallel machine",
booktitle = "Domain Decomposition Methods in Science and Engineering:
The Sixth International Conference on Domain Decomposition",
editors = "A. Quarteroni and J. P{\'e}riaux and Yu. A. Kuznetsov and
O. B. Widlund",
series = "Contemporary Mathematics",
volume = "157",
publisher = "American Mathematical Society",
address = "Providence, Rhode Island",
year = "1994",
pages = "345--351",
}
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author = "J. H. Bramble",
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@book{JHBramble_1993a,
author = "J. H. Bramble",
title = "Multigrid Methods",
series = "Pitman Research Notes in Mathematical Sciences",
volume = "294",
publisher = "Longman Scientific \& Technical",
address = "Essex, England",
year = "1993",
}
@inproceedings{JHBramble_REEwing_RRParashkevov_JEPasciak_1991a,
author = "J. H. Bramble and R. E. Ewing and R. R. Parashkevov and
J. E. Pasciak",
title = "Domain decomposition methods for problems with uniform local
refinement in two dimensions",
booktitle = "Fourth International Symposium on Domain Decomposition
Methods for Partial Differential Equations",
editor = "R. Glowinski and Yu. A. Kuznetsov and G. A. Meurant and
J. P{\'e}riaux and O. B. Widlund",
publisher = "SIAM",
address = "Philadelphia",
year = "1991",
pages = "91--100",
}
@article{JHBramble_REEwing_RRParashkevov_JEPasciak_1992a,
author = "J. H. Bramble and R. E. Ewing and R. R. Parashkevov
and J. E. Pasciak",
title = "Domain decomposition methods for problems with partial
refinement",
journal = "SIAM J. Sci. Stat. Comput.",
volume = "13",
year = "1992",
pages = "397--410"
}
@article{JHBramble_REEwing_JEPasciak_AHSchatz_1988a,
author = "J. H. Bramble and R. E. Ewing and J. E. Pasciak and
A. H. Schatz",
title = "A preconditioning technique for the efficient solution
of problems with local grid refinement",
journal = "Comp. Meth. Appl. Mech. Engng.",
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year = "1988",
pages = "149--159"
}
@inproceedings{JHBramble_DYKwak_JEPasciak_1993a,
author = "J. H. Bramble and D. Y. Kwak and J. E. Pasciak",
title = "Uniform convergence of multigrid {V}--cycle iterations
for indefinite and nonsymmetric problems",
booktitle = "Sixth Copper Mountain Conference on Multigrid Methods",
volume = "CP 3224",
editor = "N. D. Melson and T. A. Manteuffel and S. F. McCormick",
publisher = "NASA",
address = "Hampton, VA",
year = "1993",
pages = "43--59",
}
@article{JHBramble_DYKwak_JEPasciak_1994a,
author = "J. H. Bramble and D. Y. Kwak and J. E. Pasciak",
title = "Uniform convergence of multigrid {V}--cycle
iterations for indefinite and nonsymmetric problems",
journal = "SIAM J. Numer. Anal.",
volume = "31",
year = "1994",
pages = "1746--1763",
}
@article{JHBramble_JEPasciak_1987a,
author = "J. H. Bramble and J. E. Pasciak",
title = "New convergence estimates for multigrid algorithms",
journal = "Math. Comp.",
volume = "49",
year = "1987",
pages = "311--329"
}
@inproceedings{JHBramble_JEPasciak_1991a,
author = "J. H. Bramble and J. E. Pasciak",
title = "The analysis of smoothers for multigrid algorithms",
booktitle = "Preliminary Proceedings of the Fifth Copper Mountain
Conference on Multigrid Methods",
volume = "1",
editor = "T. A. Manteuffel and S. F. McCormick",
publisher = "University of Colorado",
address = "Denver",
year = "1991",
pages = "153--175",
}
@article{JHBramble_JEPasciak_1992a,
author = "J. H. Bramble and J. E. Pasciak",
title = "The analysis of smoothers for multigrid algorithms",
journal = "Math. Comp.",
volume = "58",
year = "1992",
pages = "467--488"
}
@article{JHBramble_JEPasciak_1993a,
author = "J. H. Bramble and J. E. Pasciak",
title = "New estimates for multigrid algorithms including the
{V}--cycle",
journal = "Math. Comp.",
volume = "60",
year = "1993",
pages = "447--471",
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@inproceedings{JHBramble_JEPasciak_1994a,
author = "J. H. Bramble and J. E. Pasciak",
title = "Uniform convergence estimates for multigrid {V}--cycle
algorithms with less than full elliptic regularity",
booktitle = "Domain Decomposition Methods in Science and Engineering:
The Sixth International Conference on Domain Decomposition",
editors = "A. Quarteroni and J. P{\'e}riaux and Yu. A. Kuznetsov and
O. B. Widlund",
series = "Contemporary Mathematics",
volume = "157",
publisher = "American Mathematical Society",
address = "Providence, Rhode Island",
year = "1994",
pages = "17--26",
}
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author = "J. H. Bramble and J. E. Pasciak and A. H. Schatz",
title = "An iterative method for elliptic problems on regions
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journal = "Math. Comp.",
volume = "46",
year = "1986",
pages = "361--369",
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author = "J. H. Bramble and J. E. Pasciak and A. H. Schatz",
title = "The construction of preconditioners for elliptic problems
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journal = "Math. Comp.",
volume = "47",
year = "1986",
pages = "103--134",
}
@article{JHBramble_JEPasciak_AHSchatz_1987b,
author = "J. H. Bramble and J. E. Pasciak and A. H. Schatz",
title = "The construction of preconditioners for elliptic problems
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journal = "Math. Comp.",
volume = "49",
year = "1987",
pages = "1--16",
}
@article{JHBramble_JEPasciak_AHSchatz_1988a,
author = "J. H. Bramble and J. E. Pasciak and A. H. Schatz",
title = "The construction of preconditioners for elliptic problems
by substructuring, {III}",
journal = "Math. Comp.",
volume = "51",
year = "1988",
pages = "415--430",
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author = "J. H. Bramble and J. E. Pasciak and A. H. Schatz",
title = "The construction of preconditioners for elliptic problems
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journal = "Math. Comp.",
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author = "J. H. Bramble and J. E. Pasciak and J. Wang and J. Xu",
title = "Convergence estimates for product iterative methods with
applications to domain decomposition",
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volume = "57",
year = "1991",
pages = "1--21"
}
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author = "J. H. Bramble and J. E. Pasciak and J. Wang and J. Xu",
title = "Convergence estimates for multigrid algorithms without
regularity assumptions",
journal = "Math. Comp.",
volume = "57",
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author = "J. H. Bramble and J. E. Pasciak and J. Xu",
title = "The analysis of multigrid algorithms for nonsymmetric
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journal = "Math. Comp.",
volume = "51",
year = "1988",
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author = "J. H. Bramble and J. E. Pasciak and J. Xu",
title = "Parallel multilevel preconditioners",
journal = "Math. Comp.",
volume = "55",
year = "1990",
pages = "1--22"
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@inproceedings{JHBramble_JEPasciak_JXu_1990b,
author = "J. H. Bramble and J. E. Pasciak and J. Xu",
title = "Parallel multilevel preconditioners",
booktitle = "Third International Symposium on Domain Decomposition
Methods for Partial Differential Equations",
editor = "T. F. Chan and R. Glowinski and J. P{\'e}riaux and
O. B. Widlund",
publisher = "SIAM",
address = "Philadelphia",
year = "1990",
pages = "341--357",
}
@article{JHBramble_JEPasciak_JXu_1991a,
author = "J. H. Bramble and J. E. Pasciak and J. Xu",
title = "The analysis of multigrid algorithms with nonnested spaces
or noninherited quadratic forms",
journal = "Math. Comp.",
volume = "56",
year = "1991",
pages = "1--34"
}
@inproceedings{JHBramble_JEPasciak_JXu_1992a,
author = "J. H. Bramble and J. E. Pasciak and J. Xu",
title = "A multilevel preconditioner for domain decomposition
boundary systems",
booktitle = "Proceedings of the Tenth International Conference on
Computer Methods in Applied Science and Engineering",
publisher = "Nova Sciences",
address = "New York",
year = "1992",
}
@article{JHBramble_JXu_1989a,
author = "J. H. Bramble and J. Xu",
title = "A local post--processing technique for improvising the
accuracy in mixed finite element approximations",
journal = "SIAM J. Numer. Anal.",
volume = "24",
year = "1989",
pages = "1267--1275",
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@article{JHBramble_JXu_1991a,
author = "J. H. Bramble and J. Xu",
title = "Some estimates for a weighted $L^2$ projection",
journal = "Math. Comp.",
volume = "56",
year = "1991",
pages = "463--476"
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@inproceedings{JBramble_JEPasciak_AVassilev_1997a,
author = "J. Bramble and J. E. Pasciak and A. Vassilev",
title = "Non-overlapping domain decomposition preconditioners with
inexact solves",
booktitle = "Ninth International Conference on Domain Decomposition
Methods",
editors = "P. E. Bj{\/o}rstad and M. S. Espedal and D. E. Keyes",
publisher = "DDM.org",
address = "Bergen",
year = "1997",
pages = "40--52",
}
@phdthesis{RBBramley_1989a,
author = "R. B. Bramley",
title = "Row Projection Methods for Linear Systems",
school = "University of Illinois",
Month = "May",
year = "1989",
}
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author = "K. Brand",
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publisher = "Springer-Verlag",
address = "Berlin",
year = "1982",
pages = "631--650"
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author = "A. Brandt",
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author = "A. Brandt",
title = "Multi--level adaptive finite--element methods.
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publisher = "North--Holland",
address = "Amsterdam",
year = "1979",
pages = "91--128",
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author = "A. Brandt",
title = "Multi--level adaptive techniques ({MLAT}) for
singular--perturbation problems",
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editor = "P. W. Hemker and J. J. H. Miller",
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address = "New York",
year = "1979",
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author = "A. Brandt",
title = "Numerical stability and fast solutions to boundary value
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editor = "J. J. H. Miller",
publisher = "Boole Press",
address = "Dublin",
year = "1980",
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author = "A. Brandt",
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year = "1980",
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@incollection{ABrandt_1980c,
author = "A. Brandt",
title = "Stages in developing multigrid solutions",
booktitle = "Numerical Methods for Engineering I",
editor = "E. Absi and R. Glowinski and P. Lascaux and H. Veysseyre",
publisher = "Dunod",
address = "Paris",
year = "1980",
pages = "23--45",
}
@incollection{ABrandt_1981b,
author = "A. Brandt",
title = "Multigrid solvers on parallel computers",
booktitle = "Elliptic Problem Solvers",
publisher = "Academic Press",
editor = "M. H. Schultz",
address = "New York",
year = "1981",
pages = "39--83"
}
@incollection{ABrandt_1982a,
author = "A. Brandt",
title = "Guide to multigrid development",
booktitle = "Multigrid Methods",
editor = "W. Hackbusch and U. Trottenberg",
series = "Lecture Notes in Mathematics",
volume = "960",
publisher = "Springer-Verlag",
address = "Berlin",
year = "1982",
pages = "220--312"
}
@inproceedings{ABrandt_1982b,
author = "A. Brandt",
title = "Introductory remarks on multigrid methods",
booktitle = "Numerical Methods in Fluid Dynamics",
editor = "K. W. Morton and M. J. Baines",
publisher = "",
address = "",
year = "1982",
pages = "",
}
@incollection{ABrandt_1982c,
author = "A. Brandt",
title = "Stages in developing multigrid solutions",
booktitle = "Numerical Methods for Engineers (Proc. 2nd Int. Congr.)",
publisher = "Dunod",
editor = "E. Absi and R. Glowinski and P. Lascaux and H. Veysseyre",
address = "Paris",
year = "1982",
pages = "23--43"
}
@inproceedings{ABrandt_1982d,
author = "A. Brandt",
title = "Multigrid solutions to steady--state compressible
{N}avier--{S}tokes equations. {I}.",
booktitle = "Computing Methods in Applied Sciences and Engineering V",
editor = "R. Glowinski and J.--L. Lions",
publisher = "",
address = "",
year = "1982",
pages = "407--423",
}
@inproceedings{ABrandt_1984a,
author = "A. Brandt",
title = "Local and multi--level parallel processing mill",
booktitle = "Rechnerarchitekturen f{\"u}r die numerische {S}imulation
auf der {B}asis superschneller {L}{\"o}sunsverfahren I",
editor = "U. Trottenberg and P. Wypior",
series = "GMD--Studien Nr. 88",
publisher = "Gesellschaft f{\"u}r {M}athematik und {D}atenverarbeitung",
address = "St. Augustin",
year = "1984",
pages = "31--40",
}
@book{ABrandt_1984b,
author = "A. Brandt",
title = "Multigrid techniques: 1984 guide with applications to
fluid dynamics",
series = "GMD--Studien Nr. 85",
publisher = "Gesellschaft f{\"u}r {M}athematik und {D}atenverarbeitung",
address = "St. Augustin",
year = "1984",
pages = "31--40",
}
@inproceedings{ABrandt_1985a,
author = "A. Brandt",
title = "Introduction---levels and scales",
booktitle = "Multigrid Methods for Integral and Differential Equations",
editor = "D. J. Paddon and H. Holstein",
series = "3",
publisher = "Claredon Press",
address = "Oxford",
year = "1985",
pages = "1--10",
}
@article{ABrandt_1986a,
author = "A. Brandt",
title = "Algebraic multigrid theory: {T}he symmetric case",
journal = "Appl. Math. Comput.",
volume = "19",
year = "1986",
pages = "23--56",
}
@incollection{ABrandt_1988a,
author = "A. Brandt",
title = "Multilevel computations: {R}eview and recent developments",
editor = "S. F. McCormick",
booktitle = "Multigrid Methods: Theory, Applications, and Supercomputing",
series = "Lecture Notes in Pure and Applied Mathematics",
volume = "110",
publisher = "Marcel Dekker",
address = "New York",
year = "1988",
pages = "35--62",
}
@inproceedings{ABrandt_1989a,
author = "A. Brandt",
title = "The {W}eizmann {I}nstitute research in multilevel
computation: 1988 report",
booktitle = "Proceedings of the Fourth Copper Mountain Conference on
Multigrid Methods",
editor = "J. Mandel and S. F. McCormick and J. E. Dendy and C. Farhat
and G. Lonsdale and S. V. Parter and J. W. Ruge and
K. St{\"u}ben",
publisher = "SIAM",
address = "Philadelphia",
year = "1989",
pages = "13--53",
}
@inproceedings{ABrandt_1989b,
author = "A. Brandt",
title = "Multi--level algorithms for partial differential equations
and large grid problems",
booktitle = "Preliminary Proc. of the 4th Copper Mountain Conference on
Multigrid Methods",
volume = "1",
editor = "J. Mandel and S. F. McCormick",
publisher = "Computational Mathematics Group, Univ. of Colorado",
address = "Denver",
year = "1989",
pages = "21--54",
}
@inproceedings{ABrandt_1989c,
author = "A. Brandt",
title = "Rigorous local mode analysis of multigrid",
booktitle = "Preliminary Proc. of the 4th Copper Mountain Conference on
Multigrid Methods",
volume = "1",
editor = "J. Mandel and S. F. McCormick",
publisher = "Computational Mathematics Group, Univ. of Colorado",
address = "Denver",
year = "1989",
pages = "55--133",
}
@article{ABrandt_1991a,
author = "A. Brandt",
title = "Multilevel computations of integral transforms and particle
interaction with oscillatory kernels",
journal = "Comput. Phys. Commun.",
volume = "65",
year = "1991",
pages = "24--38",
}
@incollection{ABrandt_1991b,
author = "A. Brandt",
title = "Multi--level adaptive finite--element methods {I}:
{V}ariational problems",
booktitle = "Special Topics of Applied Mathematics",
editors = "J. Frehse and D. Pallaschke and U. Trottenberg",
publisher = "North--Holland",
address = "Amsterdam",
year = "1991",
pages = "91--128",
}
@article{ABrandt_1992a,
author = "A. Brandt",
title = "Multigrid methods in lattice field computations",
journal = "Nucl. Phys. B, Proc. Suppl.",
volume = "26B",
year = "1992",
pages = "137--180"
}
@article{ABrandt_1994a,
author = "A. Brandt",
title = "Rigorous quantitative analysis of multigrid, {I}:
{C}onstant coefficients two--level cycle with
{$L_2$}--norm",
journal = "SIAM J. Numer. Anal.",
volume = "31",
year = "1994",
pages = "1695--1730",
}
@article{ABrandt_1997a,
author = "A. Brandt",
title = "The {G}auss {C}enter research in multiscale scientific
computation",
journal = "Elect. Trans. Numer. Anal.",
volume = "6",
year = "1997",
pages = "1--34",
}
@article{ABrandt_2000a,
author = "A. Brandt",
title = "General highly accurate algebraic coarsening",
journal = "Elect. Trans. Numer. Anal.",
volume = "10",
year = "2000",
pages = "1--20",
}
@article{ABrandt_CWCryer_1983a,
author = "A. Brandt and C. W. Cryer",
title = "Multigrid algorithms for the solution of linear
complementarity problems arising from free boundary problems",
journal = "SIAM J. Sci. Stat. Comput.",
volume = "4",
year = "1983",
pages = "655--684"
}
@article{ABrandt_JEDendy_HMRuppel_1980a,
author = "A. Brandt and J. E. Dendy and H. M. Ruppel",
title = "The multigrid method for semi--implicit hydrodynamics codes",
journal = "J. Comput. Phys.",
volume = "34",
year = "1980",
pages = "348--370"
}
@incollection{ABrandt_NDinar_1979a,
author = "A. Brandt and N. Dinar",
title = "Multigrid solutions to elliptic flow problems",
booktitle = "Numerical Methods for Partial Differential Equations",
publisher = "Academic Press",
editor = "S. Parter",
address = "New York",
year = "1979",
pages = "53--147"
}
@inproceedings{ABrandt_BDiskin_1994a,
author = "A. Brandt and B. Diskin",
title = "Multigrid solvers on decomposed domains",
booktitle = "Domain Decomposition Methods in Science and Engineering:
The Sixth International Conference on Domain Decomposition",
editors = "A. Quarteroni and J. P{\'e}riaux and Yu. A. Kuznetsov and
O. B. Widlund",
series = "Contemporary Mathematics",
volume = "157",
publisher = "American Mathematical Society",
address = "Providence, Rhode Island",
year = "1994",
pages = "135--155",
}
@inproceedings{ABrandt_JDym_1996a,
author = "A. Brandt and J. Dym",
title = "Effective boundary treatment for the biharmonic {D}irichlet
problem",
booktitle = "Seventh Copper Mountain Conference on Multigrid Methods",
volume = "CP 3339",
editor = "N. D. Melson and T. A. Manteuffel and S. F. McCormick and
C. C. Douglas",
publisher = "NASA",
address = "Hampton, VA",
year = "1996",
pages = "97--107",
}
@article{ABrandt_SRFulton_GDTaylor_1985a,
author = "A. Brandt and S. R. Fulton and G. D. Taylor",
title = "Improved spectral multigrid methods for periodic elliptic
problems",
journal = "J. Comput. Phys.",
volume = "58",
year = "1985",
pages = "96--112"
}
@article{ABrandt_MGalun_DRon_1994a,
author = "A. Brandt and M. Galun and D. Ron",
title = "Optimal multigrid algorithms for calculating thermodynamic limits",
journal = "J. Stat. Phys.",
volume = "74",
year = "1994",
pages = "313--348",
}
@book{ABrandt_JGreenwald_1991a,
author = "A. Brandt and J. Greenwald",
title = "Parabolic Multigrid Revisited",
series = "International Series of Numerical Mathematics",
publisher = "Birkh{\"a}user",
address = "Basel",
year = "1991",
}
@book{ABrandt_WJoppich_JLinden_GLonsdale_ASchuller_1992a,
author = "A. Brandt and W. Joppich and J. Linden and G. Lonsdale
and A. Schuller",
title = "Multigrid Course",
series = "GMD--690",
publisher = "Gesellschaft f{\"u}r {M}athematik und {D}atenverarbeitung",
address = "St. Augustin",
year = "1992",
}
@article{ABrandt_ALanza_1987a,
author = "A. Brandt and A. Lanza",
title = "Multigrid in general relativity {I}: {S}chwarzschid space
time",
journal = "Class. Quantum Gravity",
volume = "5",
year = "1988",
pages = "713--732",
}
@article{ABrandt_ILivshits_1997a,
author = "A. Brandt and I. Livshits",
title = "Wave-{R}ay multigrid method for standing wave equations",
journal = "Elect. Trans. Numer. Anal.",
volume = "6",
year = "1997",
pages = "162--181",
}
@article{ABrandt_AALubrecht_1990a,
author = "A. Brandt and A. A. Lubrecht",
title = "Multilevel matrix multiplication and fast solution of
integral equations",
journal = "J. Comp. Phys.",
volume = "90",
year = "1990",
pages = "348--370",
}
@article{ABrandt_SFMcCormick_JWRuge_1983a,
author = "A. Brandt and S. F. McCormick and J. W. Ruge",
title = "Multigrid methods for differential eigenproblems",
journal = "SIAM J. Sci. Stat. Comput.",
volume = "4",
year = "1983",
pages = "244--260"
}
@incollection{ABrandt_SFMcCormick_JWRuge_1984a,
author = "A. Brandt and S. F. McCormick and J. W. Ruge",
title = "Algebraic multigrid ({AMG}) for sparse matrix equations",
booktitle = "Sparsity and Its Applications",
editor = "D. J. Evans",
publisher = "Cambridge University Press",
address = "Cambridge",
year = "1984",
pages = "",
}
@inproceedings{ABrandt_SFMcCormick_GWade_1991a,
author = "A. Brandt and S. F. McCormick and G. Wade",
title = "Multilevel parameter estimation",
booktitle = "Preliminary Proceedings of the Fifth Copper Mountain
Conference on Multigrid Methods",
volume = "2",
editor = "T. A. Manteuffel and S. F. McCormick",
publisher = "University of Colorado",
address = "Denver",
year = "1991",
pages = "283--296",
}
@article{ABrandt_VMikulinsky_1995a,
author = "A. Brandt and V. Mikulinsky",
title = "On recombining iterants in multigrid algorithms and
problems with small islands",
journal = "SIAM J. Sci. Comput.",
volume = "16",
year = "1995",
pages = "20--28",
}
@inproceedings{ABrandt_DOphir_1983a,
author = "A. Brandt and D. Ophir",
title = "Gridpack: {T}oward unification of general grid programming",
booktitle = "IFIP Conference on PDE software",
editor = "B. Enquist and T. Smedsaas",
publisher = "North--Holland",
address = "Amsterdam",
year = "1983",
pages = "",
}
@incollection{ABrandt_STaasan_1985a,
author = "A. Brandt and S. Ta'asan",
title = "Multigrid solutions to quasi--elliptic schemes",
booktitle = "Progress and Supercomputing in Computational Fluid Dynamics",
editor = "E. M. Murmann and S. S. Abarbanely",
publisher = "Birkh{\"a}user Verlag",
address = "Boston",
year = "1985",
pages = "235--255",
}
@inproceedings{ABrandt_STaasan_1986a,
author = "A. Brandt and S. Ta'asan",
title= "Multigrid methods for nearly singular and slightly
indefinite problems",
booktitle = "Multigrid Methods II",
editor = "W. Hackbusch and U. Trottenberg",
publisher = "Springer--Verlag",
address = "Berlin",
year = "1986",
pages = "99--121"
}
@inproceedings{ABrandt_CHVenner_1998a,
author = "A. Brandt and C. H. Venner",
title = "Multilevel evaluation of integral transforms on adaptive
grids",
booktitle = "Multigrid Methods V",
editors = "W. Hackbusch and G. Wittum",
series = "Lecture Notes in Computational Science and Engineering",
volume = "3",
publisher = "Springer",
address = "Berlin",
year = "1998",
pages = "21--44",
}
@article{ABrandt_IYavneh_1991a,
author = "A. Brandt and I. Yavneh",
title = "Inadequacy of first-order upwind difference schemes for some
recirculating flows",
journal = "J. Comput. Phys.",
volume = "93",
year = "1991",
pages = "128--143"
}
@inproceedings{ABrandt_IYavneh_1991b,
author = "A. Brandt and I. Yavneh",
title = "Improved coarse--grid correction for high--{R}eynolds flows",
booktitle = "Preliminary Proceedings of the Fifth Copper Mountain
Conference on Multigrid Methods",
volume = "1",
editor = "T. A. Manteuffel and S. F. McCormick",
publisher = "University of Colorado",
address = "Denver",
year = "1991",
pages = "127--149" ,
}
@article{ABrandt_IYavneh_1992a,
author = "A. Brandt and I. Yavneh",
title = "On multigrid solution of high-{R}eynolds incompressible
entering flows",
journal = "J. Comput. Phys.",
volume = "101",
year = "1992",
pages = "151--164"
}
@article{ABrandt_IYavneh_1993a,
author = "A. Brandt and I. Yavneh",
title = "Accelerating multigrid convergence and high-{R}eynolds
recirculating flows",
journal = "SIAM J. Sci. Comput.",
volume = "14",
year = "1993",
pages = "607--626"
}
@inproceedings{ABrandt_LYZaslavsky_1996a,
author = "A. Brandt and L. Yu. Zaslavsky",
title = "Multilevel algorithm for atmospheric assimilation",
booktitle = "Seventh Copper Mountain Conference on Multigrid Methods",
volume = "CP 3339",
editor = "N. D. Melson and T. A. Manteuffel and S. F. McCormick and
C. C. Douglas",
publisher = "NASA",
address = "Hampton, VA",
year = "1996",
pages = "87--96",
}
@inproceedings{MBredif_1983a,
author = "M. Bredif",
title = "Une m{\'e}thode d'{\'e}l{\'e}ments finis multigrille pour
le calcul d'{\'e}coulements potentiels transsoniques",
booktitle = "Proceedings of the Third International Symposium on
Numerical Methods in Engineering",
editor = "P. Lascaux",
volume = "1",
publisher = "Pluralis",
address = "Paris",
year = "1983",
pages = "247--254",
}
@phdthesis{SCBrenner_1988a,
author = "S. C. Brenner",
title = "Multigrid Methods for Nonconforming Finite Elements",
school = "University of Michigan",
address = "Ann Arbor, MI",
year = "1988",
}
@article{SCBrenner_1989a,
author = "S. C. Brenner",
title = "An optimal order multigrid for {P}1 nonconforming finite
elements",
journal = "Math. Comp.",
volume = "52",
year = "1989",
pages = "1--15"
}
@article{SCBrenner_1989b,
author = "S. C. Brenner",
title = "An optimal order nonconforming multigrid method for the
biharmonic equation",
journal = "SIAM J. Numer. Anal.",
volume = "26",
year = "1989",
pages = "1124--1138"
}
@inproceedings{SCBrenner_1989c,
author = "S. C. Brenner",
title = "Multigrid methods for nonconforming finite elements",
booktitle = "Proceedings of the Fourth Copper Mountain Conference on
Multigrid Methods",
editor = "J. Mandel and S. F. McCormick and J. E. Dendy and C. Farhat
and G. Lonsdale and S. V. Parter and J. W. Ruge and
K. St{\"u}ben",
publisher = "SIAM",
address = "Philadelphia",
year = "1989",
pages = "54--65",
}
@inproceedings{SCBrenner_1989d,
author = "S. C. Brenner",
title = "Multigrid methods for nonconforming finite elements",
booktitle = "Preliminary Proc. of the 4th Copper Mountain Conference on
Multigrid Methods",
volume = "1",
editor = "J. Mandel and S. F. McCormick",
publisher = "Computational Mathematics Group, Univ. of Colorado",
address = "Denver",
year = "1989",
pages = "135--149",
}
@article{SCBrenner_1990a,
author = "S. C. Brenner",
title = "A nonconforming multigrid method for the stationary {S}tokes
equations",
journal = "Math. Comp.",
volume = "55",
year = "1990",
pages = "411--437"
}
@article{SCBrenner_1992a,
author = "S. C. Brenner",
title = "Multigrid algorithm for the lowest-order {R}aviart-{T}homas
mixed triangular finite element method",
journal = "SIAM J. Numer. Anal.",
volume = "29",
year = "1992",
pages = "647--678"
}
@article{SCBrenner_1993a,
author = "S. C. Brenner",
title = "A nonconforming mixed multigrid method for the pure
displacement problem in planar linear elasticity",
journal = "SIAM J. Numer. Anal.",
volume = "30",
year = "1993",
pages = "116--135"
}
@article{SCBrenner_1994a,
author = "S. C. Brenner",
title = "A nonconforming mixed multigrid method for the pure
traction problem in planar linear elasticity",
journal = "Math. Comp.",
volume = "63",
year = "1994",
pages = "435--460 and S1--S5",
}
@inproceedings{SCBrenner_1994b,
author = "S. C. Brenner",
title = "Two--level additive {S}chwarz preconditioners for
nonconforming finite elements",
booktitle = "Domain Decomposition Methods in Scientific and Engineering
Computing: Proceedings of the Seventh International
Conference on Domain Decomposition",
editors = "D. E. Keyes and J. Xu",
series = "Contemporary Mathematics",
volume = "180",
publisher = "American Mathematical Society",
address = "Providence, Rhode Island",
year = "1994",
pages = "9--14",
}
@article{SCBrenner_1995a,
author = "S. C. Brenner",
title = "A two-level additive Schwarz preconditioner for the stationary
{S}tokes equations",
journal = "Adv. Comput. Math.",
volume = "4",
year = "1995",
pages = "111--126",
}
@article{SCBrenner_1996a,
author = "S. C. Brenner",
title = "A two-level additive {S}chwarz preconditioner
for nonconforming plate elements",
journal = "Numer. Math.",
volume = "72",
year = "1996",
pages = "419--447",
}
@article{SCBrenner_1996b,
author = "S. C. Brenner",
title = "Multigrid methods for parameter dependent problems",
journal = "Mod{\'e}l. Math. Anal. Num{\'e}r.",
volume = "30",
year = "1996",
pages = "265--297",
}
@article{SCBrenner_1996c,
author = "S. C. Brenner",
title = "Two-level additive {S}chwarz preconditioners for
nonconforming finite element methods",
journal = "Math. Comp.",
volume = "65",
year = "1996",
pages = "897--921",
}
@article{SCBrenner_1996d,
author = "S. C. Brenner",
title = "Preconditioning complicated finite elements by
simple finite elements",
journal = "SIAM J. Sci. Comput.",
volume = "17",
year = "1996",
pages = "1269--1274",
}
@article{SCBrenner_1996e,
author = "S. C. Brenner",
title = "Two-level additive {S}chwarz preconditioners for plate
elements",
journal = "Wuhan U. J. Nat. Sci.",
volume = "1",
year = "1996",
pages = "658--667",
}
@book{SCBrenner_LRScott_1994a,
author = "S. C. Brenner and L. R. Scott",
title = "The Mathematical Theory of Finite Element Methods",
series = "Texts in Applied Mathematics",
vol = "15",
publisher = "Springer--Verlag",
address = "New York",
year = "1994",
}
@article{SCBrenner_LYSung_1992a,
author = "S. C. Brenner and L. Y. Sung",
title = "Linear finite element methods for planar linear elasticity",
journal = "Math. Comp.",
volume = "59",
year = "1992",
pages = "321--338"
}
@article{SCBrenner_LYSung_1997a,
author = "S. C. Brenner and L. Y. Sung",
title = "Multigrid methods for the computation of singular solutions
and stress intensity factors {II}. {C}rack singularities",
journal = "BIT",
volume = "37",
year = "1997",
pages = "623--643",
}
@article{MBreuer_DHanel_1993a,
author = "M. Breuer and D. Hanel",
title = "A dual time stepping method for 3--{D}, viscous,
incompressible vortex flows",
journal = "Comput. Fluids",
volume = "22",
year = "1993",
pages = "467--484",
}
@article{CBrezinski_MRedivoZaglia_1995a,
author = "C. Brezinski and M. Rediv{o~Z}aglia",
title = "Look-ahead in {Bi-CGSTAB} and other product-type methods for
linear systems",
journal = "BIT",
volume = "35",
year = "1995",
pages = "169--201",
}
@article{FBrezzi_1974a,
author = "F. Brezzi",
title = "On the existence, uniqueness and approximation of saddle
point problems arising from {L}agrangian multipliers",
journal = "RAIRO Anal. Numer.",
volume = "2",
year = "1974",
pages = "129--151",
}
@article{FBrezzi_CCDouglas_LDMarini_1989a,
author = "F. Brezzi and C. C. Douglas and L. D. Marini",
title = "A parallel domain reduction method",
journal = "Numer. Meth. for PDE",
volume = "5",
year = "1989",
pages = "195--202"
}
@inproceedings{FBrezzi_LPFranca_DMarini_ARusso_1997a,
author = "F. Brezzi and L. P. Franca and D. Marini and A. Russo",
title = "Stabilization techniques for domain decomposition methods
with non-matching grids",
booktitle = "Ninth International Conference on Domain Decomposition
Methods",
editors = "P. E. Bj{\/o}rstad and M. S. Espedal and D. E. Keyes",
publisher = "DDM.org",
address = "Bergen",
year = "1997",
pages = "1--11",
}
@inproceedings{FBrezzi_LDMarini_1994a,
author = "F. Brezzi and L. D. Marini",
title = "A three--fold domain decomposition method",
booktitle = "Domain Decomposition Methods in Science and Engineering:
The Sixth International Conference on Domain Decomposition",
editors = "A. Quarteroni and J. P{\'e}riaux and Yu. A. Kuznetsov and
O. B. Widlund",
series = "Contemporary Mathematics",
volume = "157",
publisher = "American Mathematical Society",
address = "Providence, Rhode Island",
year = "1994",
pages = "27--34",
}
@article{FBrezzi_LDMarini_PPietra_1989a,
author = "F. Brezzi and L. D. Marini and P. Pietra",
title = "Numerical simulation of semiconductor devices",
journal = "Comp. Meth. Appl. Mech. Engng.",
volume = "75",
year = "1989",
pages = "493--513",
}
@inproceedings{FBrezzi_JPitaranta_1984a,
author = "F. Brezzi and JPit{\"a}ranta",
title = "On the stabilization of finite element approximations of the
{S}tokes equations",
editor = "W. Hackbusch",
booktitle = "Efficient Solution of Elliptic Systems",
series = "Notes on Numerical Fluid Mechanics",
volume = "10",
publisher = "Vieweg",
address = "Braunschweig",
year = "1984",
pages = "11--19",
}
@inproceedings{LBrieger_GLecca_1996a,
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year = "1989",
}
@book{TFChan_RGlowinski_JPeriaux_OBWidlund_1990a,
author = "T. F. Chan and R. Glowinski and J. P{\'e}riaux and
O. B. Widlund",
title = "Third International Symposium on Domain Decomposition
Methods for Partial Differential Equations",
publisher = "SIAM",
address = "Philadelphia",
year = "1990",
}
@incollection{TFChan_SGo_JZou_1997a,
author = "T. F. Chan and S. Go and J. Zou",
title = "Multilevel domain decomposition and multigrid methods for
unstructured meshes: algorithms and theory",
booktitle = "Domain Decomposition Methods in Sciences and Engineering",
editors = "R. Glowinski and J. P{\'e}riaux and Z.--C. Shi and O. Widlund",
series = "8th International Conference, Beijing, P. R. China",
volume = "",
publisher = "John Wiley \& Sons",
address = "Chichester, New York, Weinheim, Brisbane, Singapore, Toronto",
year = "1997",
pages = "159--176",
}
@article{TFChan_DGoovaerts_1990a,
author = "T. F. Chan and D. Goovaerts",
title = "A note on the efficiency of domain decomposed incomplete
factorizations",
journal = "SIAM J. Sci. Stat. Comp.",
volume = "11",
year = "1990",
pages = "794--803",
}
@article{TFChan_DGoovaerts_1992a,
author = "T. F. Chan and D. Goovaerts",
title = "On the relationship between overlapping and nonoverlapping
domain decomposition methods",
journal = "SIAM J. Matrix Anal. Appl.",
volume = "13",
year = "1992",
pages = "663--670",
}
@article{TFChan_THou_PLLions_1991a,
author = "T. F. Chan and T. Hou and P. L. Lions",
title = "Geometry-independent convergence results for domain
decomposition algorithms",
journal = "SIAM J. Numer. Anal.",
volume = "28",
year = "1991",
pages = "378--391",
}
@article{TFChan_KRJackson_1986a,
author = "T. F. Chan and K. R. Jackson",
title = "The use of iterative linear equation solvers in codes for
systems of stiff {IVP}s for {ODE}s",
journal = "SIAM J. Sci. Stat. Comput.",
volume = "7",
year = "1986",
pages = "378--417",
}
@article{TFChan_HBKeller_1982a,
author = "T. F. Chan and H. B. Keller",
title = "Arc--length continuation and multi--grid techniques
for nonlinear elliptic eigenvalue problems",
journal = "SIAM J. Sci. Stat. Comput.",
volume = "3",
year = "1982",
pages = "173--194",
}
@inproceedings{TFChan_DEKeyes_1990a,
author = "T. F. Chan and D. E. Keyes",
title = "Interface preconditionings for domain--decomposed
convection--diffusion operators",
booktitle = "Third International Symposium on Domain Decomposition
Methods for Partial Differential Equations",
editor = "T. F. Chan and R. Glowinski and J. P{\'e}riaux and
O. B. Widlund",
publisher = "SIAM",
address = "Philadelphia",
year = "1990",
pages = "245--262",
}
@article{TFChan_CCJKuo_CTong_1989a,
author = "T. F. Chan and C. C. J. Kuo and C. Tong",
title = "Parallel elliptic preconditioners: {F}ourier analysis and
performance on the {C}onnection {M}achine",
journal = "Comput. Phys. Commun.",
volume = "53",
year = "1989",
pages = "237--252",
}
@inproceedings{TFChan_TPMathew_1991a,
author = "T. F. Chan and T. P. Mathew",
title = "An application of the probing technique to the vertex space
method in domain decomposition",
booktitle = "Fourth International Symposium on Domain Decomposition
Methods for Partial Differential Equations",
editor = "R. Glowinski and Yu. A. Kuznetsov and G. A. Meurant and
J. P{\'e}riaux and O. B. Widlund",
publisher = "SIAM",
address = "Philadelphia",
year = "1991",
pages = "101--111",
}
@article{TFChan_TPMathew_1992a,
author = "T. F. Chan and T. P. Mathew",
title = "The interface probing technique in domain decomposition",
journal = "SIAM J. Matrix Anal. Applic.",
volume = "13",
year = "1992",
pages = "212--238",
}
@inbook{TFChan_TPMathew_1994a,
author = "T. F. Chan and T. P. Mathew",
title = "Domain Decomposition Algorithms",
series = "Acta Numerica",
volume = "3",
publisher = "Cambridge University Press",
address = "Cambridge",
year = "1994",
pages = "61--143",
}
@inproceedings{TFChan_TPMathew_1994b,
author = "T. F. Chan and T. P. Mathew",
title = "Domain decomposition preconditioners for convection
diffusion problems",
booktitle = "Domain Decomposition Methods in Science and Engineering:
The Sixth International Conference on Domain Decomposition",
editors = "A. Quarteroni and J. P{\'e}riaux and Yu. A. Kuznetsov and
O. B. Widlund",
series = "Contemporary Mathematics",
volume = "157",
publisher = "American Mathematical Society",
address = "Providence, Rhode Island",
year = "1994",
pages = "157--175",
}
@inproceedings{TFChan_TPMathew_JPShao_1992a,
author = "T. F. Chan and T. P. Mathew and J.--P. Shao",
title = "Fourier and probe variants of the vertex space domain
decomposition algorithm",
booktitle = "Fifth International Symposium on Domain Decomposition
Methods for Partial Differential Equations",
editor = "D. E. Keyes and T. F. Chan and G. A. Meurant and J. S. Scroggs
and R. G. Voigt",
publisher = "SIAM",
address = "Philadelphia",
year = "1992",
pages = "236--249",
}
@inproceedings{TFChan_DCResasco_1986a,
author = "T. F. Chan and D. C. Resasco",
title = "Hypercube implementation of domain decomposed fast {P}oisson
solvers",
booktitle = "Proceedings of the Second Conference on Hypercube
Multiprocessors",
editor = "M. Heath",
publisher = "SIAM Books",
address = "Philadelphia",
year = "1987",
pages = "",
}
@inproceedings{TFChan_DCResasco_1987a,
author = "T. F. Chan and D. C. Resasco",
title = "Analysis of domain decomposition preconditioners on irregular
regions",
booktitle = "Proceedings of the Sixth IMACS Int'l Symp. on Computer
Methods for Partial Differential Equations",
editor = "R. Vichnevetski and R. Stepleman",
publisher = "IMACS",
address = "New York",
year = "1987",
pages = "",
}
@article{TFChan_DCResasco_1987b,
author = "T. F. Chan and D. C. Resasco",
title = "A domain--decomposed fast {P}oisson solver on a rectangle",
journal = "SIAM J. Sci. Stat. Comput.",
volume = "8",
year = "1987",
pages = "14--26",
}
@inproceedings{TFChan_DCResasco_1988a,
author = "T. F. Chan and D. C. Resasco",
title = "A framework for the analysis and construction of domain
decomposition preconditioners",
booktitle = "First International Symposium on Domain Decomposition
Methods for Partial Differential Equations",
editor = "R. Glowinski and G. H. Golub and G. A. Meurant and
J. P{\'e}riaux",
publisher = "SIAM",
address = "Philadelphia",
year = "1988",
pages = "217--230",
}
@article{TFChan_YSaad_1986a,
author = "T. F. Chan and Y. Saad",
title = "Multigrid algorithms on the hypercube multiprocessor",
journal = "IEEE Trans. Comput.",
volume = "C--35",
year = "1986",
pages = "969--977",
}
@article{TFChan_RSchreiber_1985a,
author = "T. F. Chan and R. Schreiber",
title = "Parallel networks for multi--grid algorithms: architecture
and complexity",
journal = "SIAM J. Sci. Stat. Comput.",
volume = "6",
year = "1985",
pages = "698--711",
}
@article{TFChan_JPShao_1995a,
author = "T. F. Chan and J. P. Shao",
title = "Parallel complexity of domain decomposition methods and
optimal coarse grid size",
journal = "Parallel Comput.",
volume = "21",
year = "1995",
pages = "1033--1049",
}
@inproceedings{TFChan_ISharapov_1997a,
author = "T. F. Chan and I. Sharapov",
title = "Subspace correction multilevel methods for elliptic
eigenvalue problems",
booktitle = "Ninth International Conference on Domain Decomposition
Methods",
editors = "P. E. Bj{\/o}rstad and M. S. Espedal and D. E. Keyes",
publisher = "DDM.org",
address = "Bergen",
year = "1997",
pages = "311--317",
}
@inproceedings{TFChan_BFSmith_1994a,
author = "T. F. Chan and B. F. Smith",
title = "Domain decomposition and multigrid algorithms for elliptic
problems on unstructured meshes",
booktitle = "Domain Decomposition Methods in Scientific and Engineering
Computing: Proceedings of the Seventh International
Conference on Domain Decomposition",
editors = "D. E. Keyes and J. Xu",
series = "Contemporary Mathematics",
volume = "180",
publisher = "American Mathematical Society",
address = "Providence, Rhode Island",
year = "1994",
pages = "175--189",
}
@article{TFChan_BFSmith_1994b,
author = "T. F. Chan and B. F. Smith",
title = "Domain decomposition and multigrid algorithms for elliptic
problems on unstructured meshes",
journal = "Elect. Trans. Numer. Anal.",
volume = "2",
year = "1994",
pages = "171--182",
}
@article{TFChan_WPTang_WLWan_1997a,
author = "T. F. Chan and W. P. Tang and W. L. Wan",
title = "Wavelet sparse approximate inverse preconditioners",
journal = "BIT",
volume = "37",
year = "1997",
pages = "644--660",
}
@inproceedings{TFChan_RSTuminaro_1987a,
author = "T. F. Chan and R. S. Tuminaro",
title = "A survey of parallel multigrid algorithms",
booktitle = "Proceedings of the Symposium on Parallel Computations and
their Impact on Mechanics",
editor = "",
publisher = "ASME",
address = "New York",
year = "1987",
pages = "",
}
@inproceedings{TFChan_RSTuminaro_1987b,
author = "T. F. Chan and R. S. Tuminaro",
title = "Design and implementation of parallel multigrid algorithms",
booktitle = "Proceedings of the Third Copper Mountain Conference on
Multigrid Methods",
editor = "S. F. McCormick",
publisher = "Marcel Dekker",
address = "New York",
year = "1987",
pages = "101--115",
}
@inproceedings{TFChan_RSTuminaro_1987c,
author = "T. F. Chan and R. S. Tuminaro",
title = "Multigrid algorithms on hypercube processors",
booktitle = "Proceedings of the Second Conference on
Hypercube Multiprocessors",
editor = "M. Heath",
publisher = "SIAM",
address = "Philadelphia",
year = "1987",
pages = "730--737",
}
@inproceedings{TFChan_RSTuminaro_1989a,
author = "T. F. Chan and R. S. Tuminaro",
title = "Analysis of a parallel multigrid algorithm",
booktitle = "Proceedings of the Fourth Copper Mountain Conference on
Multigrid Methods",
editor = "J. Mandel and S. F. McCormick and J. E. Dendy and C. Farhat
and G. Lonsdale and S. V. Parter and J. W. Ruge and
K. St{\"u}ben",
publisher = "SIAM",
address = "Philadelphia",
year = "1989",
pages = "66--86",
}
@inproceedings{TFChan_PVanek_2000a,
author = "T. F. Chan and P. Vanek",
title = "Detection of strong coupling in algebraic multigrid solvers",
booktitle = "Multigrid Methods VI",
editors = "E. Dick and K. Riemslagh and J. Vierendeels",
series = "Lecture Notes in Computational Science and Engineering",
volume = "14",
publisher = "Springer--Verlag",
address = "Berlin",
year = "2000",
pages = "11--23",
}
@incollection{DChang_1997a,
author = "D. Chang",
title = "On convergence of the parallel {S}chwarz algorithm with
pseudo--boundary and the parallel multisplitting
interactive method",
booktitle = "Domain Decomposition Methods in Sciences and Engineering",
editors = "R. Glowinski and J. P{\'e}riaux and Z.--C. Shi and O. Widlund",
series = "8th International Conference, Beijing, P. R. China",
volume = "",
publisher = "John Wiley \& Sons",
address = "Chichester, New York, Weinheim, Brisbane, Singapore, Toronto",
year = "1997",
pages = "251--258",
}
@book{KWChang_FAHowes_1984a,
author = "K. W. Chang and F. A. Howes",
title = "Nonlinear Singular Perturbation Phenomena: Theory and
Applications",
publisher = "Springer--Verlag",
address = "New York",
year = "1984",
}
@article{LChang_TFVonry_CCusano_1989a,
author = "L. Chang and T. F. Vonry and C. Cusano",
title = "An efficient, robust, multi--level computational algorithm
for elastohydrodynamic lubrication",
journal = "J. Tribol.",
volume = "111",
year = "1989",
pages = "193--199",
}
@article{QChang_1988a,
author = "Q.--S. Chang",
title = "Using a predictor-corrector scheme to computer
{N}avier--{S}tokes equations in three-dimensional spherical
coordinates",
journal = "J. Comput. Math.",
volume = "6",
year = "1988",
pages = "307--317",
}
@inproceedings{ICharpentier_FDeVuyst_YMaday_1997a,
author = "I. Charpentier and F. De Vuyst and Y. Maday",
title = "The overlapping component mode synthesis method: the
shifted eigenmodes strategy and the case of selfadjoint
operators with discontinuous coefficients",
booktitle = "Ninth International Conference on Domain Decomposition
Methods",
editors = "P. E. Bj{\/o}rstad and M. S. Espedal and D. E. Keyes",
publisher = "DDM.org",
address = "Bergen",
year = "1997",
pages = "583--596",
}
@incollection{PCharrier_JRoman_PVezolle_1995a,
author = "P. Charrier and J. Roman and P. Vezolle",
title = "Implementation of a symmetric boundary element method on
distributed memory computers for 3{D} {M}axwell equations",
booktitle = "Parallel Computational Fluid Dynamics",
editors = "A. Ecer and J. Hauser and P. Leca and J. P{\'e}riaux",
publisher = "Elsevier Science Publishers B.V. (North--Holland)",
address = "Amsterdam",
year = "1995",
pages = "505--512",
}
@article{MSCharron_MCMarche_1984a,
author = "M. S. Charron and M. C. Marche",
title = "Une generation interactive des donn{\'e}es pour appliquer
la m{\'e}thode des {\'e}l{\'e}ments finis",
journal = "Canad. J. Ci. Engrg.",
volume = "11",
year = "1984",
pages = "",
}
@article{TCharvet_FHauville_SHuberson_1994a,
author = "T. Charvet and F.Hauville and S. Huberson",
title = "Linear/nonlinear decomposition of unsteady flow",
journal = "C. R. Acad. Sci. II, Mec. Phys. Chim. Astron.",
volume = "318",
year = "1994",
pages = "1019--1026",
}
@incollection{FChatelin_1984a,
author = "F. Chatelin",
title = "Simultaneous {N}ewton's iteration for the eigenproblem",
booktitle = "Defect Correction Methods: Theory and Applications",
editor = "K. B{\"o}hmer and H. J. Stetter",
series = "Computing Suppl. 5",
publisher = "Springer--Verlag",
address = "Vienna",
year = "1984",
pages = "67--74",
}
@article{FChatelin_RLebbar_1984a,
author = "F. Chatelin and R. Lebbar",
title = "Superconvergence results for the iterated projection method
applied to {F}redholm integral equations of the second kind
and the corresponding {E}igenvalue problems",
journal = "J. Int. Equns.",
volume = "6",
year = "1984",
pages = "71--91",
}
@article{FChatelin_WLMiranker_1980a,
author = "F. Chatelin and W. L. Miranker",
title = "Acceleration by aggregation of successive approximation
methods",
journal = "J. Lin. Alg. Applic.",
volume = "24",
year = "1980",
pages = "17--47"
}
@article{FChatelin_WLMiranker_1982a,
author = "F. Chatelin and W. L. Miranker",
title = "Acceleration by aggregation of successive approximation
methods",
journal = "J. Lin. Alg. Applic.",
volume = "43",
year = "1982",
pages = "17--47"
}
@article{DChazan_WLMiranker_1969a,
author = "D. Chazan and W. L. Miranker",
title = "Chaotic relaxation",
journal = "J. Lin. Alg. Applic.",
volume = "2",
year = "1969",
pages = "199--222"
}
@inproceedings{JGChefter_CKChu_DEKeyes_1994a,
author = "J. G. Chefter and C. K. Chu and D. E. Keyes",
title = "Domain decomposition for the shallow water equations",
booktitle = "Domain Decomposition Methods in Scientific and Engineering
Computing: Proceedings of the Seventh International
Conference on Domain Decomposition",
editors = "D. E. Keyes and J. Xu",
series = "Contemporary Mathematics",
volume = "180",
publisher = "American Mathematical Society",
address = "Providence, Rhode Island",
year = "1994",
pages = "485--490",
}
@phdthesis{HCChen_1988a,
author = "H. C. Chen",
title = "The {SAS} Domain Decomposition Method for Structural
Analysis",
school = "Univ. of Illinois at Urbana--Champaign",
address = "Urbana, Illinois",
year = "1988",
}
@inproceedings{HCChen_AFHe_1993a,
author = "H. C. Chen and A. F. He",
title = "Vectorization and parallelization of the finite strip
method for dynamic {M}indlin plate problems",
booktitle = "Sixth Copper Mountain Conference on Multigrid Methods",
volume = "CP 3224",
editor = "N. D. Melson and T. A. Manteuffel and S. F. McCormick",
publisher = "NASA",
address = "Hampton, VA",
year = "1993",
pages = "77--91",
}
@article{HCChen_VCPatel_1987a,
author = "H. C. Chen and V. C. Patel",
title = "Laminar flow at the trailing edge of a flat plate",
journal = "AIAA J.",
volume = "25",
year = "1987",
pages = "920--928",
}
@article{HCChen_AHSameh_1989a,
author = "H. C. Chen and A. H. Sameh",
title = "A matrix decomposition method for orthotropic elasticity
problems",
journal = "SIAM J. Matrix Anal. Appl.",
volume = "10",
year = "1989",
pages = "39--64",
}
@article{HMChen_FCBerry_1993a,
author = "H. M. Chen and F. C. Berry",
title = "Parallel load--flow algorithm using a decomposition method
for space--based power systems",
journal = "IEEE Trans. Aero. Electron. Sys.",
volume = "29",
year = "1993",
pages = "1024--1030",
}
@article{KChen_1994a,
author = "K. Chen",
title = "Efficient iterative solution of linear systems from
discretizing singular integral equations",
journal = "Elect. Trans. Numer. Anal.",
volume = "2",
year = "1994",
pages = "76--91",
}
@incollection{KChen_1997a,
author = "K. Chen",
title = "Solution of singular boundary element equations based on
domain splitting",
booktitle = "Domain Decomposition Methods in Sciences and Engineering",
editors = "R. Glowinski and J. P{\'e}riaux and Z.--C. Shi and O. Widlund",
series = "8th International Conference, Beijing, P. R. China",
volume = "",
publisher = "John Wiley \& Sons",
address = "Chichester, New York, Weinheim, Brisbane, Singapore, Toronto",
year = "1997",
pages = "43--50",
}
@inproceedings{KChen_1997b,
author = "K. Chen",
title = "Preconditioning of two-dimensional singular integral
equations",
booktitle = "Ninth International Conference on Domain Decomposition
Methods",
editors = "P. E. Bj{\/o}rstad and M. S. Espedal and D. E. Keyes",
publisher = "DDM.org",
address = "Bergen",
year = "1997",
pages = "390--396",
}
@article{LTChen_KCYu_TQDang_1990a,
author = "L. T. Chen and K. C. Yu and T. Q. Dang",
title = "Transonic computational method for an aft-mounted
nacelle/pylon with power effect",
journal = "J. Aircr.",
volume = "27",
year = "1990",
pages = "878--885"
}
@article{MChen_RTemam_1991a,
author = "M. Chen and R. Temam",
title = "Incremental unknowns for solving partial differential
equations",
journal = "Numer. Math.",
volume = "59",
year = "1991",
pages = "255--271"
}
@article{MChen_RTemam_1993a,
author = "M. Chen and R. Temam",
title = "Nonlinear {G}alerkin method in the finite difference case
and wavelet like incremental unknowns",
journal = "Numer. Math.",
volume = "64",
year = "1993",
pages = "271--294",
}
@article{ZChen_1987a,
author = "Z. Chen",
title = "The convergence on the multigrid algorithm for
{N}avier-{S}tokes equations",
journal = "J. Comput. Math.",
volume = "5",
year = "1987",
pages = "227--237"
}
@article{ZChen_1993a,
author = "Z. Chen",
title = "Projection finite element methods for semiconductor device
equations",
journal = "Comput. Math. Appl.",
volume = "25",
year = "1993",
pages = "81--88",
}
@article{ZChen_1993b,
author = "Z. Chen",
title = "Analysis of mixed methods using conforming and nonconforming
finite element methods",
journal = "RAIRO, Math. Mod. Num. Anal.",
volume = "27",
year = "1993",
pages = "9--34",
}
@article{ZChen_1997a,
author = "Z. Chen",
title = "The analysis of intergrid transfer operators and multigrid
methods for nonconforming finite elements",
journal = "Elect. Trans. Numer. Anal.",
volume = "6",
year = "1997",
pages = "78--96",
}
@inproceedings{ZChen_REEwing_1996a,
author = "Z. Chen and R. E. Ewing",
title = "Recent development of multigrid algorithms for mixed and
nonconforming methods for second order elliptic problems",
booktitle = "Seventh Copper Mountain Conference on Multigrid Methods",
volume = "CP 3339",
editor = "N. D. Melson and T. A. Manteuffel and S. F. McCormick and
C. C. Douglas",
publisher = "NASA",
address = "Hampton, VA",
year = "1996",
pages = "183--197",
}
@incollection{ZChen_REEwing_1997a,
author = "Z. Chen and R. E. Ewing",
title = "Domain decomposition methods and multilevel
preconditioners for nonconforming and mixed methods
for partial differential problems",
booktitle = "Domain Decomposition Methods in Sciences and Engineering",
editors = "R. Glowinski and J. P{\'e}riaux and Z.--C. Shi and O. Widlund",
series = "8th International Conference, Beijing, P. R. China",
volume = "",
publisher = "John Wiley \& Sons",
address = "Chichester, New York, Weinheim, Brisbane, Singapore, Toronto",
year = "1997",
pages = "213--220",
}
@inproceedings{HPCheng_GTYeh_1996a,
author = "H.--P. Cheng and G.--T. Yeh",
title = "Study using the multigrid method to solve the {R}ichard's
equation with finite element discretization",
booktitle = "International Conference on Computational Methods in Water
Resources",
editors = "",
series = "",
volume = "1",
publisher = "Computational Mechanics Publishing",
address = "Southampton",
year = "1996",
pages = "543--549",
}
@article{ILChern_JGlimm_OMcBryan_BPlohr_SYaniv_1986a,
author = "I--L. Chern and J. Glimm and O. McBryan and B. Plohr
and S. Yaniv",
title = "Front tracking for gas dynamics",
journal = "J. Comput. Phys.",
volume = "62",
year = "1986",
pages = "83--110",
}
@article{GChesshire_WDHenshaw_1990a,
author = "G. Chesshire and W. D. Henshaw",
title = "Composite overlapping meshes for the solution of partial
differential equations",
journal = "J. Comput. Phys.",
volume = "90",
year = "1990",
pages = "1--64",
}
@inproceedings{GChesshire_AJameson_1990a,
author = "G. Chesshire and A. Jameson",
title = "{FLO}87 on the i{PSC}/2: {A} parallel multigrid solver for
the {E}uler equations",
booktitle = "Proceedings of the Fourth Conference on Hypercubes,
Concurrent Computers and Applications",
editors = "J. Gustafson",
publisher = "Golden Gate Enterprises",
address = "",
year = "1990",
pages = "957--966",
}
@article{KYChien_1982a,
author = "K. Y. Chien",
title = "Prediction of channel and boundary--layer flows with a
low--{R}eynolds--number turbulence model",
journal = "AIAA J.",
volume = "20",
year = "1982",
pages = "33--38",
}
@article{EDChikhliwala_YCYortsos_1985a,
author = "E. D. Chikliwala and Y. C. Yortsos",
title = "Application of orthogonal mapping to some two--dimensional
domains",
journal = "J. Comput. Phys.",
volume = "57",
year = "1985",
pages = "391--402",
}
@article{RVChima_GMJohnson_1983a,
author = "R. V. Chima and G. M. Johnson",
title = "Efficient solution of the {E}uler and {N}avier--{S}tokes
equations with a vectorized multi--grid algorithm",
journal = "AIAA",
volume = "83-1893",
year = "1983",
}
@article{RVChima_GMJohnson_1985a,
author = "R. V. Chima and G. M. Johnson",
title = "Efficient solution of the {E}ulter and {N}avier--{S}tokes
equations with a vectorized multiple--grid algorithm",
journal = "AIAA J.",
volume = "23",
year = "1985",
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@inproceedings{CCDouglas_JDouglas_DEFyfe_1996a,
author = "C. C. Douglas and J. Douglas and D. E. Fyfe",
title = "A note on multigrid theory for non-nested grids and/or
quadrature",
booktitle = "Seventh Copper Mountain Conference on Multigrid Methods",
volume = "CP 3339",
editor = "N. D. Melson and T. A. Manteuffel and S. F. McCormick and
C. C. Douglas",
publisher = "NASA",
address = "Hampton, VA",
year = "1996",
pages = "255--264",
}
@inproceedings{CCDouglas_AErn_1993a,
author = "C. C. Douglas and A. Ern",
title = "Numerical solution of flame sheet problems with and without
multigrid methods",
booktitle = "Sixth Copper Mountain Conference on Multigrid Methods",
volume = "CP 3224",
editor = "N. D. Melson and T. A. Manteuffel and S. F. McCormick",
publisher = "NASA",
address = "Hampton, VA",
year = "1993",
pages = "143--157",
}
@article{CCDouglas_AErn_MDSmooke_1994a,
author = "C. C. Douglas and A. Ern and M. D. Smooke",
title = "Numerical simulation of laminar diffusion flames",
journal = "SIAM News",
volume = "27",
number = "9",
year = "1994",
pages = "1, 12--13, 17",
}
@article{CCDouglas_AErn_MDSmooke_1996a,
author = "C. C. Douglas and A. Ern and M. D. Smooke",
title = "High performance computing and numerical simulation of
flames",
journal = "ZAMM",
volume = "76",
year = "1996",
pages = "49--52",
}
@incollection{CCDouglas_AErn_MDSmooke_1996b,
author = "C. C. Douglas and A. Ern and M. D. Smooke",
title = "Numerical simulation of laminar diffusion flames",
booktitle = "Applications on Advanced Architecture Computers",
editor = "G. Astfalk",
publisher= "SIAM",
address = "Philadelphia",
year = "1996",
pages = "243--254",
}
@article{CCDouglas_AErn_MDSmooke_1997a,
author = "C. C. Douglas and A. Ern and M. D. Smooke",
title = "Multigrid solution of flame sheet problems on serial and
parallel computers",
journal = "Paral. Alg. Appl.",
volume = "10",
year = "1997",
pages = "225--236",
}
@article{CCDouglas_GHaase_JHu_MKowarschik_URude_CWeiss_2000a,
author = "C. C. Douglas and G. Haase and J. Hu and M. Kowarschik and
U. R{\"u}de and C. Weiss",
title = "Portable memory hierarchy techniques for PDE solvers,
Part I",
journal = "SIAM News",
volume = "33",
number = "5",
year = "2000",
pages = "1, 8--9",
}
@article{CCDouglas_GHaase_JHu_MKowarschik_URude_CWeiss_2000b,
author = "C. C. Douglas and G. Haase and J. Hu and M. Kowarschik and
U. R{\"u}de and C. Weiss",
title = "Portable memory hierarchy techniques for PDE solvers,
Part II",
journal = "SIAM News",
volume = "33",
number = "6",
year = "2000",
pages = "1, 10--11, 16",
}
@inproceedings{CCDouglas_JHu_MIskandarani_2000a,
author = "C. C. Douglas and J. Hu and M. Iskandarani",
title = "Preprocessing costs of cache based multigrid",
booktitle = "Proceeding of ENUMATH99: Third European Conference on
Numerical Methods for Advanced Applications",
editors = "P. Neittaanm{\"a}ki and T. Tiihonen and P. Tarvainen",
publisher = "World Scientific",
address = "Singapore",
year = "2000",
pages = "362--370",
}
@incollection{CCDouglas_JHu_MIskandarani_MKowarschik_URude_CWeiss_2000a,
author = "C. C. Douglas and J. Hu and M. Iskandarani and M. Kowarschik
and U. R{\"u}de and C. Weiss",
title = "Maximizing cache memory usage for multigrid algorithms",
booktitle = "Multiphase Flows and Transport in Porous Media: State of the Art",
editors = "Z. Chen and R. E. Ewing and Z.-C. Shi",
publisher = "Springer",
address = "Berlin",
year = "2000",
pages = "124--137",
}
@inproceedings{CCDouglas_JHu_WKarl_MKowarschik_URude_CWeiss_2000a,
author = "C. C. Douglas and J. Hu and W. Karl and M. Kowarschik and
U. R{\"u}de and C. Weiss",
title = "Fixed and adaptive cache aware algorithms for multigrid
methods",
booktitle = "Multigrid Methods VI",
editors = "E. Dick and K. Riemslagh and J. Vierendeels",
series = "Lecture Notes in Computational Science and Engineering",
volume = "14",
publisher = "Springer--Verlag",
address = "Berlin",
year = "2000",
pages = "87--93",
}
@article{CCDouglas_JHu_MKowarschik_URude_CWeiss_2000a,
author = "C. C. Douglas and J. Hu and M. Kowarschik and U. R{\"u}de and
C. Weiss",
title = "Cache optimization for structured and unstructured grid
multigrid",
journal = "Elect. Trans. Numer. Anal.",
volume = "10",
year = "2000",
pages = "21--40",
}
@incollection{CCDouglas_JHu_JRay_DTThorne_RSTuminaro_2001a,
author = "C. C. Douglas and J. Hu and J. Ray and D. T. Thorne and
R. S. Tuminaro",
title = "Fast, adaptively refined computational elements in 3{D}",
booktitle = "Computational Science -- ICCS 2002",
editors = "P. M. A. Sllot and C. J. K. Tan and J. J. Dongarra and
A. G. Hoekstra",
volume = "3",
publisher = "Springer--Verlag",
address = "Berlin",
year = "2002",
pages = "774--783",
}
@incollection{CCDouglas_SCMa_WLMiranker_1987a,
author = "C. C. Douglas and S. C. Ma and W. L. Miranker",
title = "Generating parallel algorithms through multigrid and
aggregation/disaggregation techniques",
booktitle = "Computational Acoustics: Algorithms and Applications",
editor = "D. Lee and R. L. Sternberg and M. H. Schultz",
publisher = "Elsevier, North--Holland",
address = "New York",
year = "1987",
pages = "133--147"
}
@article{CCDouglas_SMalhotra_MHSchultz_1997a,
author = "C. C. Douglas and S. Malhotra and M. H. Schultz",
title = "A characterization of mapping unstructured grids onto
structured grids and using multigrid as a preconditioner",
journal = "BIT",
volume = "37",
year = "1997",
pages = "661--677",
}
@incollection{CCDouglas_SMalhotra_MHSchultz_1998a,
author = "C. C. Douglas and S. Malhotra and M. H. Schultz",
title = "Parallel multigrid with {ADI}-like smoothers in two
dimernsions",
booktitle = "5th European Multigrid Conference Special Topics and
Applications",
editors = "W. Hackbusch and G. Wittum",
publisher = "University of Stuttgart",
address = "Stuttgart",
year = "1998",
pages = "47--57",
}
@incollection{CCDouglas_JMandel_1989a,
author = "C. C. Douglas and J. Mandel",
title = "The domain reduction method: high way reduction in three
dimensions and convergence with inexact solvers",
booktitle = "Fourth {C}opper {M}ountain Conference on Multigrid Methods",
editor = "J. Mandel and S. F. McCormick and J. E. Dendy and
C. Farhat and G. Lonsdale and S. V. Parter and J. W. Ruge
and K. St{\"u}ben",
publisher= "SIAM",
address = "Philadelphia",
year = "1989",
pages = "149--160"
}
@article{CCDouglas_JMandel_1992a,
author = "C. C. Douglas and J. Mandel",
title = "A group theoretic approach to the domain reduction method",
journal = "Computing",
volume = "48",
year = "1992",
pages = "73--96"
}
@article{CCDouglas_JMandel_WLMiranker_1990a,
author = "C. C. Douglas and J. Mandel and W. L. Miranker",
title = "Fast hybrid solution of algrebraic systems",
journal = "SIAM J. Sci. Stat. Comput.",
volume = "11",
year = "1990",
pages = "1073--1086"
}
@article{CCDouglas_WLMiranker_1988a,
author = "C. C. Douglas and W. L. Miranker",
title = "Constructive interference in parallel algorithms",
journal = "SIAM J. Numer. Anal.",
volume = "25",
year = "1988",
pages = "376--398"
}
@incollection{CCDouglas_WLMiranker_1988b,
author = "C. C. Douglas and W. L. Miranker",
title = "Some nontelescoping parallel algorithms based on serial
multi\-grid/aggre\-ga\-tion/dis\-aggre\-ga\-tion techniques",
booktitle= "Multigrid Methods: Theory, Applications, and Supercomputing",
editor = "S. F. McCormick",
series = "Lecture Notes in Pure and Applied Mathematics",
volume = "110",
publisher= "Marcel Dekker",
address = "New York",
year = "1988",
pages = "167--176"
}
@article{CCDouglas_BFSmith_1989a,
author = "C. C. Douglas and B. F. Smith",
title = "Using symmetries and antisymmetries to analyze a parallel
multigrid algorithm",
journal = "SIAM J. Numer. Anal.",
volume = "26",
year = "1989",
pages = "1439--1461"
}
@article{JDouglas_REEwing_MFWheeler_1983a,
author = "J. Douglas and R. E. Ewing and M. F. Wheeler",
title = "The approximation of the pressure by a mixed method in the
simulation of miscible displacement",
journal = "RAIRO Anal. Numer.",
volume = "17",
year = "1983",
pages = "17--33",
}
@article{JDouglas_FFurtado_FPereira_1996a,
author = "J. Douglas and F. Furtado and F. Pereira",
title = "Parallel methods for immiscible displacement in porous media",
journal = "Wuhan U. J. Nat. Sci.",
volume = "1",
year = "1996",
pages = "502--507",
}
@article{JDouglas_CSHuang_1997a,
author = "J. Douglas and C.--S. Huang",
title = "An accelerated domain decomposition procedure based on {R}obin
transmission conditions",
journal = "BIT",
volume = "37",
year = "1997",
pages = "678--686",
}
@inproceedings{JDouglas_DBMeade_1997a,
author = "J. Douglas and D. B. Meade",
title = "Second-order transmission conditions for the {H}elmholtz
equation",
booktitle = "Ninth International Conference on Domain Decomposition
Methods",
editors = "P. E. Bj{\/o}rstad and M. S. Espedal and D. E. Keyes",
publisher = "DDM.org",
address = "Bergen",
year = "1997",
pages = "434--440",
}
@inproceedings{JBDrake_REFlanery_DWWalker_PHWorley_ITFoster_JGMichalakes_RLStevens_JJHack_DLWilliamson_1993a,
author = "J. B. Drake and R. E. Flanery and D. W. Walker and
P. M. Worley and I. T. Foster and J. G. Michalakes and
R. L. Stevens and J. J. Hack and D. L. Williamson",
title = "The message passing version of the parallel community
climate model",
booktitle = "Proceedings of the Fifth ECMWF Workshop on the Use of
Parallel Processors in Meteorology. Parallel Supercomputing
in Atmospheric Science",
volume = "",
editor = "G. R. Hoffman and T. Kauranne",
publisher = "World Scientific",
address = "Singapore",
year = "1993",
pages = "500--513",
}
@incollection{JBDrake_LJGray_1989a,
author = "J. B. Drake and L. J. Gray",
title = "Parallel implementation of the boundary element method",
booktitle = "Vector and Parallel Computing: issues in applied research
and development",
editors = "J. J. Dongarra and I. S. Duff and P. Gaffney and S. McKee",
publisher = "Ellis Horwood Ltd. (John Wiley \& Sons)",
address = "Chichester",
year = "1989",
pages = "83--92",
}
@incollection{DDrikakis_ESchreck_1993a,
author = "D. Drikakis and E. Schreck",
title = "Parallel multi--level calculations for viscous compressible
flows",
booktitle = "CFD Algorithms and Applications for Parallel Processors
American Society of Mechanical Engineers, Fluids Engineering
Division (Publication) FED",
volume = "156",
publisher = "ASME",
address = "New York, NY",
year = "1993",
pages = "9--23",
}
@inproceedings{DDrikakis_OIliev_DVassileva_2000a,
author = "D. Drikakis and O. Iliev and V. Vassileva",
title = "An adaptive--smoothing multigrid method for the
{N}avier--{S}tokes equations",
booktitle = "Multigrid Methods VI",
editors = "E. Dick and K. Riemslagh and J. Vierendeels",
series = "Lecture Notes in Computational Science and Engineering",
volume = "14",
publisher = "Springer--Verlag",
address = "Berlin",
year = "2000",
pages = "94--100",
}
@article{JDrkosova_AGreenbaum_MRozloznik_ZStrakos_1995a,
author = "J. Drko{\v s}ov{\'a} and A. Greenbaum and
M. Rozlo{\v z}nik and Z. Strako{\v s}",
title = "Numerical stability of {GMRES}",
journal = "BIT",
volume = "35",
year = "1995",
pages = "309--330",
}
@incollection{MDryja_1981a,
author = "M. Dryja",
title = "An algorithm with a capacitance matrix for a
variational--difference scheme",
booktitle = "Variational--Difference Methods in Mathematical Physics",
editor = "G. I. Marchuk",
publisher = "USSR Academy of Sciences",
address = "Novosibirsk",
year = "1981",
pages = "63--73",
}
@article{MDryja_1982a,
author = "M. Dryja",
title = "A capacitance matrix method for {D}irichlet problems on
polygonal domains",
journal = "Numer. Math.",
volume = "39",
year = "1982",
pages = "51--64",
}
@article{MDryja_1983a,
author = "M. Dryja",
title = "A finite element -- capacitance matrix method for the
elliptic problem",
journal = "SIAM J. Numer. Anal.",
volume = "20",
year = "1983",
pages = "671--680",
}
@article{MDryja_1984a,
author = "M. Dryja",
title = "A finite element--capacitance matrix method for elliptic
problems in regions partitioned into subregions",
journal = "Numer. Math.",
volume = "44",
year = "1984",
pages = "153--168",
}
@incollection{MDryja_1984b,
author = "M. Dryja",
title = "Domain decomposition method for solving variational
difference systems for elliptic problems",
booktitle = "Variatsionnonaznostnye metody v matematicheskoi fizike",
editor = "N. S. Bakhvalov and Yu. A. Kuznetsov",
publisher = "Otdel Vishislitel'noi Matematiki Akad. Nauk SSSR",
address = "Moscow",
year = "1984",
pages = "",
}
@inproceedings{MDryja_1988a,
author = "M. Dryja",
title = "A method of domain decomposition for 3--{D} finite element
problems",
booktitle = "First International Symposium on Domain Decomposition
Methods for Partial Differential Equations",
editor = "R. Glowinski and G. H. Golub and G. A. Meurant and
J. P{\'e}riaux",
publisher = "SIAM",
address = "Philadelphia",
year = "1988",
pages = "",
}
@inproceedings{MDryja_1988b,
author = "M. Dryja",
title = "A method of domain decomposition for three--dimensional
finite element elliptic problems",
booktitle = "First International Symposium on Domain Decomposition
Methods for Partial Differential Equations",
editor = "R. Glowinski and G. H. Golub and G. A. Meurant and
J. P{\'e}riaux",
publisher = "SIAM",
address = "Philadelphia",
year = "1988",
pages = "43--61",
}
@incollection{MDryja_1989a,
author = "M. Dryja",
title = "An additive {S}chwartz algorithm for two--and three--
dimensional finite element elliptic problems",
booktitle = "Domain Decomposition Methods",
editor = "T. F. Chan and R. Glowinski and
J. P{\'e}riaux and O. B. Widlund",
publisher = "SIAM",
address = "Philadelphia",
year = "1989",
pages = "168--172",
}
@inproceedings{MDryja_1989b,
author = "M. Dryja",
title = "On the optimality of an additive iterative refinement method",
booktitle = "Multigrid Methods",
editor = "J. Mandel and S. McCormick and J. J. E. Dendy and C. Farhat
and G. Lonsdale and S. V. Parter and J. W. Ruge and
K. St{\"u}ben",
publisher = "SIAM",
address = "Philadelphia",
year = "1989",
pages = "",
}
@inproceedings{MDryja_1991a,
author = "M. Dryja",
title = "Substructuring methods for parabolic problems",
booktitle = "Fourth International Symposium on Domain Decomposition
Methods for Partial Differential Equations",
editor = "R. Glowinski and Yu. A. Kuznetsov and G. A. Meurant and
J. P{\'e}riaux and O. B. Widlund",
publisher = "SIAM",
address = "Philadelphia",
year = "1991",
pages = "264--271",
}
@inproceedings{MDryja_1994a,
author = "M. Dryja",
title = "Multilevel methods for elliptic problems with discontinuous
coefficients in three dimensions",
booktitle = "Domain Decomposition Methods in Scientific and Engineering
Computing: Proceedings of the Seventh International
Conference on Domain Decomposition",
editors = "D. E. Keyes and J. Xu",
series = "Contemporary Mathematics",
volume = "180",
publisher = "American Mathematical Society",
address = "Providence, Rhode Island",
year = "1994",
pages = "43--47",
}
@inproceedings{MDryja_1997a,
author = "M. Dryja",
title = "An additive {S}chwarz method for elliptic mortar finite
element problems in three dimensions",
booktitle = "Ninth International Conference on Domain Decomposition
Methods",
editors = "P. E. Bj{\/o}rstad and M. S. Espedal and D. E. Keyes",
publisher = "DDM.org",
address = "Bergen",
year = "1997",
pages = "88--96",
}
@article{MDryja_WHackbusch_1997a,
author = "M. Dryja and W. Hackbusch",
title = "On the nonlinear domain decomposition method",
journal = "BIT",
volume = "37",
year = "1997",
pages = "296--311",
}
@incollection{MDryja_WProskurowski_1984a,
author = "M. Dryja and W. Proskurowski",
title = "Fast elliptic solvers on rectangular regions subdivided
into strips",
booktitle = "Advances in Computer Methods for Partial Differential
Equations",
editor = "R. Vichnevetski and R. Stapleman",
publisher = "IMACS",
address = "New York",
year = "1984",
pages = "360--368",
}
@article{MDryja_WProskurowski_1985a,
author = "M. Dryja and W. Proskurowski",
title = "A capacitance matrix method using strips with alternating
{N}eumann and {D}irichlet boundary conditions",
journal = "Appl. Numer. Math.",
volume = "1",
year = "1985",
pages = "285--298",
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@incollection{MDryja_WProskurowski_OBWidlund_1986a,
author = "M. Dryja and W. Proskurowski and O. B. Widlund",
title = "A method of domain decomposition with cross points for
elliptic finite element problems",
booktitle = "Optimal Algorithm",
editor = "Bl. Sendov",
publisher = "Publishing House of the Bulgarian Academy of Sciences",
address = "Sofia",
year = "1986",
pages = "97--111",
}
@incollection{MDryja_WProskurowski_OBWidlund_1987a,
author = "M. Dryja and W. Proskurowski and O. B. Widlund",
title = "Numerical experiments and implementation of domain
decomposition method with cross points",
booktitle = "Advances in Computer Methods for {PDE}'s--{VI}",
editor = "R. Vichnevetsky and R. Stepleman",
publisher = "IMACS",
address = "New Brunswick, NJ",
year = "1987",
pages = "23--27",
}
@article{MDryja_BFSmith_OBWidlund_1994a,
author = "M. Dryja and B. F. Smith and O. B. Widlund",
title = "Schwarz analysis of iterative substructuring algorithms for
elliptic problems in three dimensions",
journal = "SIAM J. Numer. Anal.",
volume = "31",
year = "1994",
pages = "",
}
@inproceedings{MDryja_OBWidlund_1989a,
author = "M. Dryja and O. B. Widlund",
title = "On the optimality of an additive iterative refinement method",
booktitle = "Proceedings of the Fourth Copper Mountain Conference on
Multigrid Methods",
editor = "J. Mandel and S. F. McCormick and J. E. Dendy and C. Farhat
and G. Lonsdale and S. V. Parter and J. W. Ruge and
K. St{\"u}ben",
publisher = "SIAM",
address = "Philadelphia",
year = "1989",
pages = "161--170",
}
@inproceedings{MDryja_OBWidlund_1989b,
author = "M. Dryja and O. B. Widlund",
title = "Some domain decomposition algorithms for elliptic problems",
booktitle = "Iterative Methods for Large Linear Systems",
editors = "D. R. Kinkaid and L. J. Hayes",
publisher = "Academic Press",
address = "New York",
year = "1989",
pages = "273--291",
}
@inproceedings{MDryja_OBWidlund_1990a,
author = "M. Dryja and O. B. Widlund",
title = "Towards a unified theory of domain decomposition algorithms
for elliptic problems",
booktitle = "Third International Symposium on Domain Decomposition
Methods for Partial Differential Equations",
editor = "T. F. Chan and R. Glowinski and J. P{\'e}riaux and
O. B. Widlund",
publisher = "SIAM",
address = "Philadelphia",
year = "1990",
pages = "3--21",
}
@inproceedings{MDryja_OBWidlund_1991a,
author = "M. Dryja and O. B. Widlund",
title = "Multilevel additive methods for elliptic finite element
problems",
booktitle = "Parallel Algorithms for Partial Differential Equations",
editor = "W. Hackbusch",
publisher = "Vieweg",
address = "Braunschweig",
year = "1991",
pages = "58--69",
}
@inproceedings{MDryja_OBWidlund_1992a,
author = "M. Dryja and O. B. Widlund",
title = "Additive {S}chwarz methods for elliptic finite element
problems in three dimensions",
booktitle = "Fifth International Symposium on Domain Decomposition
Methods for Partial Differential Equations",
editor = "D. E. Keyes and T. F. Chan and G. A. Meurant and J. S. Scroggs
and R. G. Voigt",
publisher = "SIAM",
address = "Philadelphia",
year = "1992",
pages = "3--18",
}
@article{MDryja_OBWidlund_1994a,
author = "M. Dryja and O. B. Widlund",
title = "Domain decomposition algorithms with small overlap",
journal = "SIAM J. Sci. Comput.",
volume = "15",
year = "1994",
pages = "604--620",
}
@inproceedings{MDryja_OBWidlund_1994b,
author = "M. Dryja and O. B. Widlund",
title = "Some recent results on {S}chwarz type domain decomposition
algorithms",
booktitle = "Domain Decomposition Methods in Science and Engineering:
The Sixth International Conference on Domain Decomposition",
editors = "A. Quarteroni and J. P{\'e}riaux and Yu. A. Kuznetsov and
O. B. Widlund",
series = "Contemporary Mathematics",
volume = "157",
publisher = "American Mathematical Society",
address = "Providence, Rhode Island",
year = "1994",
pages = "53--61",
}
@article{PFDubois_AGreenbaum_GHRodrigue_1977a,
author = "P. F. Dubois and A. Greenbaum and G. H. Rodrigue",
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year = "1977",
pages = "257--268",
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year = "2001",
pages = "216--233",
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@inproceedings{FDufaux_MKunt_1992a,
author = "F. Dufaux and M. Kunt",
title = "Multigrid block matching motion estimation with an adaptive
local mesh refinement",
booktitle = "Proceedings of the SPIE",
volume = "1818",
publisher = "The International Society for Optical Engineering",
year = "1992",
pages = "97--109",
}
@inproceedings{ISDuff_1982a,
author = "I. S. Duff",
title = "Sparse matrix software for elliptic {PDE}'s",
booktitle = "Multigrid Methods",
editor = "W. Hackbusch and U. Trottenberg",
series = "Lecture Notes in Mathematics",
volume = "960",
publisher = "Springer-Verlag",
address = "Berlin",
year = "1982",
pages = "410--426"
}
@article{APDuffy_JLHerring_TMBenson_CChristopoulos_1993a,
author = "A. P. Duffy and J. L. Herringand T. M. Benson and
C. Christopoulos",
title = "The application of the Transmission Line Modelling ({TLM})
method to the simulation of propagation and coupling inside
conducting enclosures",
journal = "Electromag. Compat.",
volume = "P83M2",
year = "1993",
pages = "445--449",
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@inproceedings{JCDufourd_JFNaviner_1994a,
author = "J. C. Dufourd and J. F. Naviner",
title = "An optimizable model for process independent symbolic design",
booktitle = "Proceedings. The European Design and Test Conference. EDAC,
The European Conference on Design Automation. ETC European
Test Conference. EUROASIC, The European Event in ASIC Design",
volume = "",
editor = "",
publisher = "",
address = "",
year = "1994",
pages = "660",
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@article{JKDukowicz_1984a,
author = "J. K. Dukowicz",
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title = "First International Symposium on Domain Decomposition
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booktitle = "Third International Symposium on Domain Decomposition
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editor = "T. F. Chan and R. Glowinski and J. P{\'e}riaux and
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publisher = "SIAM",
address = "Philadelphia",
year = "1990",
pages = "263--289",
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booktitle = "Third International Symposium on Domain Decomposition
Methods for Partial Differential Equations",
editor = "T. F. Chan and R. Glowinski and J. P{\'e}riaux and
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address = "Basel",
year = "1994",
pages = "215--232",
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author = "M. Griebel",
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year = "1994",
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networks",
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year = "1992",
pages = "217--228",
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volume = "66",
year = "1996",
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multilevel substructuring techniques in a parallel
computing environment",
booktitle = "Collection of Technical Papers - Proceedings of the
AIAA/ASME/ASCE/AHS/ASC Structures, Structural
Dynamics, and Materials Conference",
volume = "3",
publisher = "AIAA",
address = "New York, NY",
year = "1994",
pages = "1546--1555",
}
@article{MHGutknecht_1997a,
author = "M. H. Gutknecht",
title = "Lanczos-type solvers for nonsymmetric linear systems of
equations",
journal = "Acta Numer.",
volume = "6",
year = "1997",
pages = "271--397",
}
@inproceedings{GHaase_1997a,
author = "G. Haase",
title = "Multilevel extension techniques in domain decomposition
preconditioners",
booktitle = "Ninth International Conference on Domain Decomposition
Methods",
editors = "P. E. Bj{\/o}rstad and M. S. Espedal and D. E. Keyes",
publisher = "DDM.org",
address = "Bergen",
year = "1997",
pages = "359--367",
}
@article{GHaase_2000a,
author = "G. Haase",
title = "A parallel {AMG} for overlapping and non-overlapping domain
decomposition",
journal = "Elect. Trans. Numer. Anal.",
volume = "10",
year = "2000",
pages = "41--55",
}
@inproceedings{GHaase_ULanger_1990a,
author = "G. Haase and U. Langer",
title = "On the use of multigrid preconditioners in the domain
decomposition method",
booktitle = "Parallel Algorithms for PDEs",
editor = "W. Hackbusch",
publisher = "Vieweg",
address = "Braunschweig",
year = "1990",
pages = "101--110",
note = "Proc. of the 6th GAMM--Seminar, Kiel, 1990",
}
@inproceedings{GHaase_ULanger_AMeyer_1990a,
author = "G. Haase and U. Langer and A. Meyer",
title = "A new approach to the {D}irichlet domain decomposition
method",
booktitle = "Fifth Multigrid Seminar, Eberswalde 1990",
editor = "S. Hengst",
organization ="Karl--Weierstrass--Institut",
address = "Berlin",
year = "1990",
pages = "1--59",
note = "Report R--MATH--09/90",
}
@article{GHaase_ULanger_AMeyer_1991a,
author = "G. Haase and U. Langer and A. Meyer",
title = "Approximate {D}irichlet domain decomposition method.
{P}art {II}: {A}pplications to 2nd-order elliptic {B.V.P.}s",
journal = "Comput.",
volume = "47",
year = "1991",
pages = "153--167"
}
@article{GHaase_ULanger_AMeyer_1991b,
author = "G. Haase and U. Langer and A. Meyer",
title = "Domain decomposition methods with inexact subdomain
solvers",
journal = "J. Numer. Lin. Alg. Applic.",
volume = "1",
year = "1991",
pages = "27--41",
}
@article{GHaase_ULanger_AMeyer_1991c,
author = "G. Haase and U. Langer and A. Meyer",
title = "The approximate Dirichlet domain decomposition method.
{P}art {I}: {A}n algebraic approach",
journal = "Comput.",
volume = "47",
year = "1991",
pages = "137--151",
}
@inproceedings{GHaase_ULanger_AMeyer_1993a,
author = "G. Haase and U. Langer and A. Meyer",
title = "Parallelisierung und {V}orkonditionierung des
{CG-Verfahrens} durch {G}ebietszerlegung",
booktitle = "Numerische Algorithmen auf Transputer--Systemen",
editor = "G. Bader and R. Rannacher and G. Wittum",
publisher = "Teubner--Verlag",
address = "Stuttgart",
year = "1993",
pages = "80--116",
note = "Proceedings of the GAMM--Seminar Heidelberg, 1991",
}
@article{GHaase_ULanger_AMeyer_SVNepomnyaschikh_1994a,
author = "G. Haase and U. Langer and A. Meyer and
S. V. Nepomnyaschikh",
title = "Hierarchical extension operators and local multigrid
methods in domain decomposition preconditioners",
journal = "E. W. J. Numer. Math.",
volume = "2",
year = "1994",
pages = "173--193",
}
@inproceedings{WHackbusch_1977a,
author = "W. Hackbusch",
title = "A fast numerical method for elliptic boundary value problems
with variable coefficients",
booktitle = "Proc. Second GAMM-Conference on Numerical Methods in Fluid
Mechanics",
editor = "E. H. Hirschel and W. Geller",
publisher = "DFVLR",
address = "K{\"o}ln",
year = "1977",
pages = "50--57",
}
@incollection{WHackbusch_1978a,
author = "W. Hackbusch",
title = "A fast iterative method for solving {H}elmholtz's equation
in a general region",
booktitle = "Fast Elliptic Solvers",
editor = "U. Schumann",
publisher = "Advance Publications",
address = "London",
year = "1978",
pages = "112--124",
}
@article{WHackbusch_1978b,
author = "W. Hackbusch",
title = "On the multigrid method applied to difference equations",
journal = "Computing",
volume = "20",
year = "1978",
pages = "291--306"
}
@inproceedings{WHackbusch_1978c,
author = "W. Hackbusch",
title = "A fast iterative method for solving {P}oisson's equation
in a general region",
booktitle = "Numerical Treatment of Partial Differential Equations",
editor = "R. Bulirsch and R. D. Grigorieff and J. Schr{\"o}der",
series = "Lecture Notes in Mathematics",
volume = "631",
publisher = "Springer--Verlag",
address = "Berlin",
year = "1978",
pages = "51--62",
}
@article{WHackbusch_1979a,
author = "W. Hackbusch",
title = "On the computation of approximate eigenvalues and
eigenfunctions of elliptic operators by means of a
multi--grid method",
journal = "SIAM J. Numer. Anal.",
volume = "16",
year = "1979",
pages = "201--215"
}
@article{WHackbusch_1979b,
author = "W. Hackbusch",
title = "On the fast solution of parabolic boundary control problems",
journal = "SIAM J. Control Optim.",
volume = "17",
year = "1979",
pages = "231--244"
}
@article{WHackbusch_1979c,
author = "W. Hackbusch",
title = "On the fast solutions of nonlinear elliptic equations",
journal = "Numer. Math.",
volume = "32",
year = "1979",
pages = "83--95"
}
@article{WHackbusch_1980a,
author = "W. Hackbusch",
title = "Convergence of multi--grid iterations applied to
difference equations",
journal = "Math. Comp.",
volume = "34",
year = "1980",
pages = "425--440"
}
@article{WHackbusch_1980b,
author = "W. Hackbusch",
title = "The fast numerical solution of very large elliptic
difference schemes",
journal = "J. Inst. Math. Appl.",
volume = "26",
year = "1980",
pages = "119--132"
}
@inproceedings{WHackbusch_1980c,
author = "W. Hackbusch",
title = "Numerical solution of nonlinear equations by the multigrid
iteration of the second kind",
booktitle = "Numerical Methods for Nonlinear Problems",
editor = "C. Taylor",
publisher = "Pineridge Press",
address = "Swansea",
year = "1980",
pages = "1041--1050",
}
@article{WHackbusch_1980d,
author = "W. Hackbusch",
title = "On the fast solving of elliptic control problems",
journal = "J. Optim. Theory Appl.",
year = "1980",
pages = "565--581",
}
@incollection{WHackbusch_1980e,
author = "W. Hackbusch",
title = "Survey of convergence proofs for multigrid iterations",
booktitle = "Special Topics of Applied Mathematics",
editor = "J. Frehse and D. Pallaschke and U. Trottenberg",
publisher = "North--Holland",
address = "Amsterdam",
year = "1980",
pages = "151--164",
}
@article{WHackbusch_1981a,
author = "W. Hackbusch",
title = "Bemerkungen zur iterierten {D}efektkorrekture und zu
ihrer {K}ombination mit {M}ehrgitterverfahren",
journal = "Rev. Roumaine Math. Pures Appl.",
volume = "26",
year = "1981",
pages = "1319--1329"
}
@article{WHackbusch_1981b,
author = "W. Hackbusch",
title = "Die schnelle {A}ufl{\"o}sung der {F}red holmschen
{I}ntegralgleichung zweiter {A}rt",
journal = "Beitr{\"a}ge Numer. Math.",
volume = "9",
year = "1981",
pages = "47--62"
}
@article{WHackbusch_1981c,
author = "W. Hackbusch",
title = "Error analysis of the nonlinear multigrid method of
the second kind",
journal = "Appl. Math.",
volume = "26",
year = "1981",
pages = "18--29"
}
@article{WHackbusch_1981d,
author = "W. Hackbusch",
title = "The fast numerical solution of time periodic parabolic
problems",
journal = "SIAM J. Sci. Stat. Comput.",
volume = "2",
year = "1981",
pages = "198--206"
}
@article{WHackbusch_1981e,
author = "W. Hackbusch",
title = "On the convergence of multi--grid iterations",
journal = "Beitr{\"a}ge Numer. Math.",
volume = "9",
year = "1981",
pages = "213--239"
}
@article{WHackbusch_1981f,
author = "W. Hackbusch",
title = "On the regularity of difference schemes",
journal = "Ark. Mat.",
volume = "19",
year = "1981",
pages = "71--95"
}
@article{WHackbusch_1981g,
author = "W. Hackbusch",
title = "Optimal {H}**p,p/2 error estimates for a parabolic
{G}alerkin method",
journal = "SIAM J. Numer. Anal.",
volume = "18",
year = "1981",
pages = "681--692"
}
@incollection{WHackbusch_1981i,
author = "W. Hackbusch",
title = "Numerical solution of linear and nonlinear parabolic control
problems",
booktitle = "Optimization and Optimal Control",
editor = "A. Auslender and W. Oettli and J. Stoer",
series = "Lecture Notes in Control and Information Sciences",
volume = "30",
publisher = "Springer--Verlag",
address = "Berlin",
year = "1981",
pages = "179--185",
}
@inproceedings{WHackbusch_1982a,
author = "W. Hackbusch",
title = "Multi--grid convergence theory",
booktitle = "Multigrid Methods",
editor = "W. Hackbusch and U. Trottenberg",
series = "Lecture Notes in Mathematics",
volume = "960",
publisher = "Springer--Verlag",
address = "Berlin",
year = "1982",
pages = "177--219",
}
@inproceedings{WHackbusch_1982b,
author = "W. Hackbusch",
title = "Multi--grid solution of continuation problems",
booktitle = "Iterative Solution of Nonlinear Systems of Equations",
editor = "R. Ansorge and T. Meis and W. T{\"o}rnig",
series = "Lecture Notes in Mathematics",
volume = "953",
publisher = "Springer--Verlag",
address = "Berlin",
year = "1982",
pages = "20--45",
}
@inproceedings{WHackbusch_1982c,
author = "W. Hackbusch",
title = "On multi--grid iterations with defect corrections",
booktitle = "Multigrid Methods",
editor = "W. Hackbusch and U. Trottenberg",
series = "Lecture Notes in Mathematics",
volume = "960",
publisher = "Springer--Verlag",
address = "Berlin",
year = "1982",
pages = "461--473",
}
@incollection{WHackbusch_1983a,
author = "W. Hackbusch",
title = "Introduction to multi--grid methods for the numerical
solution of boundary value problems",
booktitle = "Computational Methods for Turbulent, Transonic and Viscous
Flows",
editor = "J. A. Essers",
publisher = "Hemisphere",
address = "Washington, D.C.",
year = "1983",
pages = "",
}
@article{WHackbusch_1983b,
author = "W. Hackbusch",
title = "On the regularity of difference schemes---part {II}:
regularity estimates for linear and nonlinear problems",
journal = "Ark. Mat.",
volume = "21",
year = "1983",
pages = "3--28"
}
@inproceedings{WHackbusch_1983c,
author = "W. Hackbusch",
title = "Parabolic multi--grid methods",
booktitle = "Computing Methods in Applied Sciences and Engineering VI",
editor = "R. Glowinski and J.--L. Lions",
publisher = "North--Holland",
address = "Amsterdam",
year = "1984",
pages = "",
}
@article{WHackbusch_1984a,
author = "W. Hackbusch",
title = "Multi--grid convergence for a singular perturbation problem",
journal = "J. Lin. Alg. Applic.",
volume = "58",
year = "1984",
pages = "125--145"
}
@article{WHackbusch_1984b,
author = "W. Hackbusch",
title = "Multi--grid solutions to linear and nonlinear eigenvalue
problems for integral and differential equations",
journal = "Rostock Math. Colloq.",
volume = "25",
year = "1984",
pages = "79--98"
}
@book{WHackbusch_1984c,
author = "W. Hackbusch",
title = "Efficient solution of elliptic systems",
series = "Notes on Numerical Fluid Mechanics",
volume = "10",
publisher = "Vieweg",
address = "Braunschweig",
year = "1984",
}
@incollection{WHackbusch_1984d,
author = "W. Hackbusch",
title = "Local defect correction method and domain decomposition
techniques",
booktitle = "Defect Correction Methods: Theory and Applications",
editor = "K. B{\"o}hmer and H. J. Stetter",
series = "Computing Suppl. 5",
publisher = "Springer--Verlag",
address = "Vienna",
year = "1984",
pages = "89--113",
}
@incollection{WHackbusch_1984e,
author = "W. Hackbusch",
title = "Parabolic multi--grid methods",
booktitle = "Computing Methods in Applied Sciences and Engineering VI",
editor = "R. Glowinski and J.--L. Lions",
publisher = "North--Holland",
address = "Amsterdam",
year = "1984",
pages = "",
}
@book{WHackbusch_1985a,
author = "W. Hackbusch",
title = "Multigrid Methods and Applications",
series = "Computational Mathematics",
volume = "4",
publisher = "Springer--Verlag",
address = "Berlin",
year = "1985"
}
@inproceedings{WHackbusch_1985b,
author = "W. Hackbusch",
title = "Multi-grid eigenvalue computation",
booktitle = "Advances in Multi--Grid Methods",
editor = "D. Braess and W. Hackbusch and U. Trottenberg",
series = "Notes on Numerical Fluid Mechanics",
volume = "11",
publisher = "Vieweg",
address = "Braunschweig",
year = "1985",
pages = "24--32",
}
@incollection{WHackbusch_1985c,
author = "W. Hackbusch",
title = "Multigrid methods of the second kind",
booktitle = "Multigrid Methods for Integral and Differential Equations",
editor = "D. J. Paddon and H. Holstein",
series = "The Institute of Mathematics and Its Applications Conference
Series",
volume = "3",
publisher = "Clarendon Press",
address = "Oxford",
year = "1985",
pages = "11--84",
}
@incollection{WHackbusch_1988a,
author = "W. Hackbusch",
title = "A new approach to robust multi--grid solvers",
booktitle= "{ICIAM'87}: Proceedings of the First International
Conference on Industrial and Applied Mathematics",
editor = "A. H. {P.~van~der} Burgh and R. M. M. Mattheij",
publisher= "SIAM",
address = "Philadelphia",
year = "1988",
pages = "114--126"
}
@article{WHackbusch_1989a,
author = "W. Hackbusch",
title = "The frequency decomposition multigrid method, part {I}:
{A}pplication to anisotropic equations",
journal = "Numer. Math.",
volume = "56",
year = "1989",
pages = "229--245"
}
@article{WHackbusch_1989b,
author = "W. Hackbusch",
title = "On first and second order box schemes",
journal = "Computing",
volume = "41",
year = "1989",
pages = "277--296",
}
@book{WHackbusch_1989c,
author = "W. Hackbusch",
title = "Robust Multi--Grid Methods",
series = "Notes on Numerical Fluid Mechanics",
volume = "23",
publisher = "Vieweg",
address = "Braunschweig",
year = "1989",
}
@inproceedings{WHackbusch_1989d,
author = "W. Hackbusch",
title = "The frequency decomposition multi--grid algorithm",
booktitle = "Robust Multi--Grid Methods",
editor = "W. Hackbusch",
series = "Notes on Numerical Fluid Mechanics",
volume = "23",
publisher = "Vieweg",
address = "Braunschweig",
year = "1989",
pages = "96--104",
}
@article{WHackbusch_1992a,
author = "W. Hackbusch",
title = "The frequency decomposition multi grid method. {II}.
{C}onvergence analysis based on the additive {S}chwarz
method",
journal = "Numer. Math.",
volume = "63",
year = "1992",
pages = "433--453",
}
@book{WHackbusch_1993a,
author = "W. Hackbusch",
title = "Iterative Solution of Large Sparse Systems of Equations",
publisher = "Springer--Verlag",
address = "Berlin",
year = "1993"
}
@inproceedings{WHackbusch_1994a,
author = "W. Hackbusch",
title = "The frequency decomposition multi--grid method",
booktitle = "Multigrid Methods IV, Proceedings of the Fourth European
Multigrid Conference, Amsterdam, July 6-9, 1993",
editors = "P. W. Hemker and P. Wesseling",
series = "ISNM",
volume = "116",
publisher = "Birkh{\"a}user",
address = "Basel",
year = "1994",
pages = "43--56",
}
@article{WHackbusch_GHofmann_1981a,
author = "W. Hackbusch and G. Hofmann",
title = "Results of the eigenvalue problem for the plate equation",
journal = "Z. Angew. Math. Phys.",
volume = "31",
year = "1981",
pages = "730--739"
}
@article{WHackbusch_HDMittelmann_1983a,
author = "W. Hackbusch and H. D. Mittelmann",
title = "On multi--grid methods for variational inequalities",
journal = "Numer. Math.",
volume = "42",
year = "1983",
pages = "65--76"
}
@inproceedings{WHackbusch_ZPNowak_1986a,
author = "W. Hackbusch and Z. P. Nowak",
title = "Multigrid methods for calculating the lifting potential
incompressible flows around three--dimensional bodies",
booktitle = "Multigrid Methods II",
editor = "W. Hackbusch and U. Trottenberg",
publisher = "Springer--Verlag",
address = "Berlin",
year = "1986",
pages = "135--148",
}
@article{WHackbusch_ZPNowak_1989a,
author = "W. Hackbusch and Z. P. Nowak",
title = "On the fast matrix multiplication in the boundary element
method by panel clustering",
journal = "Numer. Math.",
volume = "54",
year = "1989",
pages = "463--491",
}
@article{WHackbusch_AReusken_1989a,
author = "W. Hackbusch and A. Reusken",
title = "Analysis of a damped nonlinear multilevel method",
journal = "Numer. Math.",
volume = "55",
year = "1989",
pages = "225--246"
}
@inproceedings{WHackbusch_AReusken_1989b,
author = "W. Hackbusch and A. Reusken",
title = "On global multigrid convergence for nonlinear problems",
booktitle = "Robust Multi--Grid Methods",
editor = "W. Hackbusch",
series = "Notes on Numerical Fluid Mechanics",
volume = "23",
publisher = "Vieweg",
address = "Braunschweig",
year = "1989",
pages = "105--113",
}
@book{WHackbusch_UTrottenberg_1982a,
author = "W. Hackbusch and U. Trottenberg",
title = "Multigrid Methods",
series = "Lecture Notes in Mathematics",
volume = "960",
publisher = "Springer--Verlag",
address = "Berlin",
year = "1982",
}
@article{WHackbusch_TWill_1983a,
author = "W. Hackbusch and T. Will",
title = "A numerical method for a parabolic bang--bang problem",
journal = "Control Cybernet.",
volume = "12",
year = "1983",
pages = "99--110",
}
@book{WHackbusch_GWittum_1993a,
author = "W. Hackbusch and G. Wittum",
title = "Incomplete Decompositions (ILU) -- Algorithms, Theory, and
Applications",
series = "Notes on Numerical Fluid Mechanics",
volume = "41",
publisher = "Vieweg",
address = "Braunschweig",
year = "1993",
}
@book{WHackbusch_GWittum_1994a,
author = "W. Hackbusch and G. Wittum",
title = "Adaptive Methods -- Algorithms, Theory and Applications,
Proceedings of the Ninth GAMM--Seminar, Kiel, Jan. 22--24,
1993",
series = "Notes on Numerical Fluid Mechanisms",
volume = "46",
publisher = "Vieweg",
address = "Braunschweig",
year = "1994",
}
@book{WHackbusch_GWittum_1998a,
author = "W. Hackbusch and G. Wittum",
title = "5th European Multigrid Conference Special Topics and
Applications",
publisher = "University of Stuttgart",
address = "Stuttgart",
year = "1998",
}
@book{WHackbusch_GWittum_1998b,
author = "W. Hackbusch and G. Wittum",
title = "Multigrid Methods V",
series = "Lecture Notes in Computational Science and Engineering",
volume = "3",
publisher = "Springer",
address = "Berlin",
year = "1998",
}
@incollection{MGHackenberg_WJoppich_SMijalkovic_1998a,
author = "M. G. Hackenberg and W. Joppich and S. Mijalkovic",
title = "A paralle multigrid environment for coupled problems on
time-dependent structures",
booktitle = "5th European Multigrid Conference Special Topics and
Applications",
editors = "W. Hackbusch and G. Wittum",
publisher = "University of Stuttgart",
address = "Stuttgart",
year = "1998",
pages = "90--100",
}
@inproceedings{MHaghoo_WProskurowski_1989a,
author = "M. Haghoo and W. Proskurowski",
title = "Parallel efficiency of a domain decomposition method",
booktitle = "Domain Decomposition Methods",
editor = "T. F. Chan and R. Glowinski and
J. P{\'e}riaux and O. B. Widlund",
publisher = "SIAM",
address = "Philadelphia",
year = "1989",
pages = "269--281",
}
@article{THagstrom_RPTewarson_AJazcilevich_1988a,
author = "T. Hagstrom and R. P. Tewarson and A. Jazcilevich",
title = "Numerical experiments on a domain decomposition algorithm
for nonlinear elliptic boundary value problems",
journal = "Appl. Math. Lett.",
volume = "1",
year = "1988",
pages = "299--302",
}
@incollection{HHahn_1985a,
author = "H. Hahn",
title = "{M}ehrskalen--{M}ethoden der {S}tatistischen {P}hysik:
{A}usgangspunkte zuu {M}ehrgitter--{V}erfahren f{\"u}r
die statistisch--physikalische {N}umerik",
booktitle = "Rechnerarchitekturen f{\"u}r die numerische {S}imulation
auf der {B}asis superschneller {L}{\"o}sungsverfahren {II}",
editor = "U. Trottenberg and P. Wypior",
series = "GMD--Studien Nr. 102",
publisher = "Gesellschaft f{\"u}r {M}athematik und {D}atenverarbeitung",
address = "St. Augustin",
year = "1985",
pages = "233--240",
}
@book{DBHaidvodel_ABeckmann_1999a,
author = "D. B. Haidvodel and A. Beckmann",
title = "Numerical Ocean Circulation Modeling",
series = "Envirnmental Science and Management",
volume = "2",
publisher = "Imperial College Press",
address = "London",
year = "1999",
}
@article{DBHaidvogel_TAZang_1979a,
author = "D. B. Haidvogel and T. A. Zang",
title = "The accurate solution of {P}oisson's equation by expansion
in {C}hebyshev polynomials",
journal = "J. Comput. Phys.",
volume = "30",
year = "1979",
pages = "167--180",
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@article{YRHakopian_YAKuznetsov_1991a,
author = "Yu. R. Hakopian and Yu. A. Kuznetsov",
title = "Algebraic multigrid/substructuring preconditioners on
triangular grids",
journal = "Sov. J. Numer. Anal. Math. Modell.",
volume = "6",
year = "1991",
pages = "453--483",
}
@article{YRHakopian_YAKuznetsov_1994a,
author = "Yu. R. Hakopian and Yu. A. Kuznetsov",
title = "Algebraic multigrid/fictitious domain preconditioners on
quasihierarchical triangular grids",
journal = "Russian J. Numer. Anal. Math. Modelling",
volume = "9",
year = "1994",
pages = "201--222",
}
@inproceedings{MGHall_1982a,
author = "M. G. Hall",
title = "Advances and shortcomings in the calculation of inviscid
flows with shock waves",
booktitle = "Numerical Methods in Aeronautical fluid Dynamics",
editor = "P. L. Roe",
publisher = "Academic Press",
address = "London",
year = "1982",
pages = "33--60",
}
@incollection{MGHall_1986a,
author = "M. G. Hall",
title = "Cell vertex multigrid schemes for solution of the {E}uler
equations",
booktitle = "Numerical methods for Fluid Dynamics II",
editor = "K. W. Morton and M. J. Baines",
publisher = "Clarendon Press",
address = "Oxford",
year = "1986",
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title = "Berechnung station{\"a}rer elektromagnetischer {F}elder
mit {F}ull--{M}ultigrid--{N}ewton--{T}echniken",
booktitle = "Deutsche Mathematiker-Vereinigung, Jahrestagung
15.-20.9.1991 in Bielefeld, Vortragsausz{\"u}ge",
year = "1991",
pages = "297",
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title = "Sensitivity analysis for nonlinear magnetic field
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booktitle = "Modelling Uncertain Data",
editor = "H. Bandemer",
publisher = "Akademie Verlag",
address = "Berlin",
year = "1992",
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note = "Mathematical Research, vol. 68.
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1992",
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author = "B. Heise",
title = "Nonlinear field calculations with multigrid {N}ewton methods",
journal = "Impact Comput. Sci. Eng.",
volume = "5",
year = "1993",
pages = "75--110",
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author = "B. Heise and M. Jung",
title = "Robust parallel {N}ewton-multilevel methods",
booktitle = "AMLI'96: Proceedings of the Conference on Algebraic
Multilevel Iteration Methods with Applications",
editors = "O. Axelsson and B. Polman",
volume = "1",
publisher = "University of Nijmegan",
address = "Nijmegan, The Netherlands",
year = "1996",
pages = "153--168",
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author = "B. Heise and M. Jung",
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year = "1997",
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number = "2",
year = "1999",
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title = "Parallel sovers for linear and nonlinear exterior magnetic
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journal = "Computing",
volume = "56",
year = "1996",
pages = "237--258",
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journal = "CVGIP: Image Understanding",
volume = "59",
year = "1994",
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@incollection{PWHemker_1980a,
author = "P. W. Hemker",
title = "The incomplete {LU}--decomposition as a relaxation method
in multi--grid algorithms",
booktitle = "Boundary and Interior Layers---Computational and Asymptotic
Methods",
editor = "J. J. H. Miller",
publisher = "Boole Press",
address = "Dublin",
year = "1980",
pages = "306--311",
}
@incollection{PWHemker_1980b,
author = "P. W. Hemker",
title = "Multi--grid bibliography",
booktitle = "Colloquium Numerical Integration of Partial Differential
Equations",
editor = "J. Verwer",
publisher = "Dept. of Numerical Mathematics, Mathematical Center",
address = "Amsterdam",
year = "1980",
}
@article{PWHemker_1980c,
author = "P. W. Hemker",
title = "On the structure of an adaptive multi--level algorithm",
journal = "BIT",
volume = "20",
year = "1980",
pages = "289--301"
}
@article{PWHemker_1981a,
author = "P. W. Hemker",
title = "Introduction to multigrid methods",
journal = "Nieuw Archief voor Wiskunke",
volume = "3",
year = "1981",
pages = "71--101",
}
@article{PWHemker_1982a,
author = "P. W. Hemker",
title = "A note on defect correction processes with an approximate
inverse of deficient rank",
journal = "Appl. Math. Comput.",
volume = "8",
year = "1982",
pages = "137--139"
}
@incollection{PWHemker_1982b,
author = "P. W. Hemker",
title = "Extensions of the defect correction principle",
booktitle = "An Introduction to Computational and Asymptotic Methods
for Boundary and Interior Layers",
editor = "J. J. H. Miller",
series = "Short Course",
publisher = "Boole Press",
address = "Dublin",
year = "1982",
pages = "33--45",
}
@incollection{PWHemker_1982c,
author = "P. W. Hemker",
title = "Numerical aspects of singular perturbation problems",
booktitle = "Asymptotic Analysis II",
editor = "F. Verhulst",
series = "Lecture Notes in Mathematics",
volume = "985",
publisher = "Springer--Verlag",
address = "Berlin",
year = "1982",
pages = "267--287",
}
@inproceedings{PWHemker_1982d,
author = "P. W. Hemker",
title = "ON the comparison of {L}ine--{G}auss--{S}eidel and {ILU}
relaxation in multigrid algorithms",
booktitle = "Computational and Asymptotic Methods for Boundary and
Interior Layers",
editor = "J. J. H. Miller",
publisher = "Boole Press",
address = "Dublin",
year = "1982",
pages = "269--277",
}
@inproceedings{PWHemker_1982e,
author = "P. W. Hemker",
title = "Mixed defect correction iteration for the accurate solution
of the convection diffusion equation",
booktitle = "Multigrid Methods",
editor = "W. Hackbusch and U. Trottenberg",
series = "Lecture Notes in Mathematics",
volume = "960",
publisher = "Springer--Verlag",
address = "Berlin",
year = "1982",
pages = "485--501",
}
@incollection{PWHemker_1983a,
author = "P. W. Hemker",
title = "Multigrid methods for problems with a small parameter in
the highest derivative",
booktitle = "Numerical Analysis",
editor = "G. A. Watson",
series = "Lecture Notes in Mathematics",
volume = "1066",
publisher = "Springer--Verlag",
address = "Berlin",
year = "1983",
pages = "106--121",
}
@inproceedings{PWHemker_1983b,
author = "P. W. Hemker",
title = "The use of defect correction for the solution of a
singularly perturbed {ODE}",
booktitle = "Proceedings of the Third Conference on the Numerical
Treatment of Ordinary Differential Equations",
editor = "R. M{\"a}rz",
series = "",
volume = "",
publisher = "Humboldt Universit{\"a}t",
address = "Berlin",
year = "1983",
pages = "91--104",
}
@incollection{PWHemker_1984a,
author = "P. W. Hemker",
title = "Mixed defect correction iteration for the solution of a
singular perturbation problem",
booktitle = "Defect Correction Methods: Theory and Applications",
editor = "K. B{\"o}hmer and H. J. Stetter",
series = "Computing Suppl. 5",
publisher = "Springer--Verlag",
address = "Vienna",
year = "1984",
pages = "123--145",
}
@article{PWHemker_1984b,
author = "P. W. Hemker",
title = "Multigrid algorithms run on supercomputers",
journal = "Supercomputer",
volume = "4",
year = "1984",
pages = "44--51"
}
@inproceedings{PWHemker_1984c,
author = "P. W. Hemker",
title = "Multigrid methods for problems with a small parameter in the
highest derivative",
booktitle = "Numerical Analysis, Proceedings, Dundee 1983",
editors = "D. F. Griffiths",
series = "Lecture Notes in Mathematic",
volume = "1066",
publisher = "Springer--Verlag",
address = "Berlin",
year = "1984",
pages = "106--121",
}
@inproceedings{PWHemker_1986a,
author = "P. W. Hemker",
title = "Defect correction and higher order schemes for the multigrid
solution of the steady {E}uler equations",
booktitle = "Multigrid Methods II",
editor = "W. Hackbusch and U. Trottenberg",
publisher = "Springer--Verlag",
address = "Berlin",
year = "1986",
pages = "149--165",
}
@inproceedings{PWHemker_1987a,
author = "P. W. Hemker",
title = "Multigrid and improved accuracy for the {E}uler equations",
booktitle = "Discretization in Differential Equations and Enclosures",
editor = "E. Adams and R. Ansorge and C. Grossmann and H.--G. Roos",
series = "",
volume = "",
publisher = "Akademie-Verlag",
address = "Berlin",
year = "1987",
pages = "",
}
@inproceedings{PWHemker_1988a,
author = "P. W. Hemker",
title = "A multigrid approach for one-dimensional semiconductor
device simulation",
booktitle = "Device Simulation --Numerische Problemfelder--",
editor = "W. Joppich and U. Trottenberg",
series = "GMD-Studien",
volume = "144",
publisher = "GMD",
address = "Bonn",
year = "1988",
pages = "",
}
@inproceedings{PWHemker_1988b,
author = "P. W. Hemker",
title = "A nonlinear multigrid method for one-dimensional
semiconductor device simulation",
booktitle = "BAIL V, Proceedings of the Fifth International Conference on
Boundary and Interior Layers, Shanghai",
editor = "{Guo Ben-Yu} and J. J. H. Miller and {Shi Zhong-ci}",
series = "",
volume = "",
publisher = "Boole Press",
address = "Dublin",
year = "1988",
pages = "",
}
@article{PWHemker_1990a,
author = "P. W. Hemker",
title = "Nonlinear multigrid method for one--dimensional semiconductor
device simulation: results for the diode",
journal = "J. Comput. Appl. Math.",
volume = "30",
year = "1990",
pages = "117--126"
}
@article{PWHemker_1990b,
author = "P. W. Hemker",
title = "On the order of prolongations and restrictions in
multigrid procedures",
journal = "J. Comput. Appl. Math.",
volume = "32",
year = "1990",
pages = "423--429",
}
@article{PWHemker_1995a,
author = "P. W. Hemker",
title = "Sparse-grid finite-volume multigrid for 3{D}-problems",
journal = "Adv. Comput. Math.",
volume = "4",
year = "1995",
pages = "83--110",
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@incollection{PWHemker_PMDeZeeuw_1983a,
author = "P. W. Hemker and P. M. de{~Z}eeuw",
title = "Defect correction for the solution of a singular
perturbation problem",
booktitle = "Scientific Computing",
editor = "R. S. Stepleman",
publisher = "North--Holland",
address = "Amsterdam",
year = "1983",
pages = "113--118",
}
@incollection{PWHemker_PMDeZeeuw_1985a,
author = "P. W. Hemker and P. M. de{~Z}eeuw",
title = "Some implementations of multigrid linear system solvers",
booktitle = "Multigrid Methods for Integral and Differential Equations",
editor = "D. J. Paddon and H. Holstein",
series = "The Institute of Mathematics and its Applications Conference
Series",
volume = "3",
publisher = "Clarendon Press",
address = "Oxford",
year = "1985",
pages = "85--116",
}
@incollection{PWHemker_GMJohnson_1987a,
author = "P. W. Hemker and G. M. Johnson",
title = "Multigrid approaches to the {E}uler equations",
booktitle = "Multigrid Methods",
editor = "S. F. McCormick",
series = "Frontiers in Applied Mathematics",
volume = "3",
publisher = "SIAM",
address = "Philadelphia",
year = "1987",
pages = "57--72",
}
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author = "P. W. Hemker and R. Kettler and P. Wesseling and P. M.
de{~Z}eeuw",
title = "Multigrid methods: development of fast solvers",
journal = "Appl. Math. Comput.",
volume = "13",
year = "1983",
pages = "311--326",
}
@inproceedings{PWHemker_BKoren_1988a,
author = "P. W. Hemker and B. Koren",
title = "Multigrid, defect correction and upwind schemes for the
steady {N}avier--{S}tokes equations",
booktitle = "Numerical Methods for Fluid Dynamics {III}",
editor = "K. W. Morton and M. J. Baines",
series = "",
volume = "",
publisher = "Clarendon Press",
address = "Oxford",
year = "1988",
pages = "153--170",
}
@incollection{PWHemker_BKoren_1989a,
author = "P. W. Hemker and B. Koren",
title = "A non-linear multigrid method for the steady {E}uler
equations",
booktitle = "Numerical Simulation of Compressible Euler Flows",
editor = "A. Dervieux and B{.~van} Leer and J. P{\'e}riaux and
A. Rizzi",
series = "Notes on Numerical Fluid Mechanics",
volume = "26",
publisher = "Vieweg",
address = "Braunschweig",
year = "1989",
pages = "175--196",
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author = "P. W. Hemker and B. Koren and J. Noordmans",
title = "3{D} multigrid on partially ordered sets of grids",
booktitle = "Multigrid Methods V",
editors = "W. Hackbusch and G. Wittum",
series = "Lecture Notes in Computational Science and Engineering",
volume = "3",
publisher = "Springer",
address = "Berlin",
year = "1998",
pages = "105--124",
}
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author = "P. W. Hemker and B. Koren and S. P. Spekreijse",
title = "A nonlinear multi-grid method for the efficient solution of
the steady {E}uler equations",
booktitle = "Tenth International Conference on Numerical Methods in
Fluid Dynamics",
editor = "F. G. Zhuang and Y. L. Zhu",
series = "Lecture Notes in Physics",
volume = "264",
publisher = "Springer--Verlag",
address = "Berlin",
year = "1986",
pages = "308--313",
}
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author = "P. W. Hemker and J. Molenaar",
title = "An adaptive multigrid approach for the solution of the
{2D} semiconductor equations",
booktitle = "Multigrid Methods {III}",
editor = "W. Hackbusch and U. Trottenberg",
series = "International Series of Numerical Mathematics",
volume = "98",
publisher = {Birkh\"auser Verlag},
address = "Basel",
year = "1991",
pages = "41--60"
}
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title = "Multiple grid methods for the solution of {F}redholm
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volume = "36",
year = "1981",
pages = "215--232"
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author = "P. W. Hemker and S. P. Spekreijse",
title = "Multigrid solutions of the steady {E}uler equations",
booktitle = "Advances in Multi--Grid Methods",
editor = "D. Braess and W. Hackbusch and U. Trottenberg",
series = "Notes on Numerical Fluid Mechanics",
volume = "11",
publisher = "Vieweg",
address = "Braunschweig",
year = "1984",
pages = "33--44",
}
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author = "P. W. Hemker and S. P. Spekreijse",
title = "Multiple grid and {O}scher's scheme for the efficient
solution of the steady {E}uler equations",
journal = "Appl. Numer. Math.",
volume = "2",
year = "1986",
pages = "458--476"
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@book{PWHemker_PWesseling_1994a,
author = "P. W. Hemker and P. Wesseling",
title = "Multigrid Methods IV, Proceedings of the Fourth European
Multigrid Conference, Amsterdam, July 6--9, 1993",
series = "ISNM",
volume = "116",
publisher = "Birkh{\"a}user",
address = "Basel",
year = "1994",
}
@inproceedings{PWHemker_PWesseling_PMDeZeeuw_1984a,
author = "P. W. Hemker and P. Wesseling and P. M. de{~Z}eeuw",
title = "A portable vector--code for autonomous multigrid modules",
booktitle = "Proc. IFIP--Conference on PDE Software: Modules, Interfaces
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editor = "B. Enquist and T. Smedsass",
publisher = "North--Holland",
address = "Amsterdam",
year = "1984",
pages = "29--40",
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address = "Amsterdam",
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author = "R. Hempel",
title = "Parallel black box multigrid",
booktitle = "Preliminary Proc. of the 4th Copper Mountain Conference on
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address = "Denver",
year = "1989",
pages = "167--180",
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author = "R. Hempel and M. Lemke",
title = "Parallel black box multigrid",
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Multigrid Methods",
editor = "J. Mandel and S. F. McCormick and J. E. Dendy and C. Farhat
and G. Lonsdale and S. V. Parter and J. W. Ruge and
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publisher = "SIAM",
address = "Philadelphia",
year = "1989",
pages = "255--272",
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author = "R. Hempel and C. P. Thompson",
title = "A note on the vectorization of algebraic multigrid algorithms",
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volume = "26",
year = "1988",
pages = "245--256",
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title = "Hybrid spectral element methods for flows over rough walls",
booktitle = "Fifth International Symposium on Domain Decomposition
Methods for Partial Differential Equations",
editor = "D. E. Keyes and T. F. Chan and G. A. Meurant and J. S. Scroggs
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publisher = "SIAM",
address = "Philadelphia",
year = "1992",
pages = "485--497",
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author = "F{.~d'} Hennezel",
title = "Domain decomposition method with nonsymmetric interface
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editor = "D. E. Keyes and T. F. Chan and G. A. Meurant and J. S. Scroggs
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publisher = "SIAM",
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year = "1989",
pages = "153--164",
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booktitle = "Sixth Copper Mountain Conference on Multigrid Methods",
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address = "Ft. Collins",
year = "1989",
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author = "M. A. Heroux and S. F. McCormick and S. McKay and
J. W. Thomas",
title = "Applications of the fast adaptive composite grid method",
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address = "New York",
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author = "M. A. Heroux and J. W. Thomas",
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problems",
booktitle = "Proceedings of the Fourth Copper Mountain Conference on
Multigrid Methods",
editor = "J. Mandel and S. F. McCormick and J. E. Dendy and C. Farhat
and G. Lonsdale and S. V. Parter and J. W. Ruge and
K. St{\"u}ben",
publisher = "SIAM",
address = "Philadelphia",
year = "1989",
pages = "273--285",
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author = "M. A. Heroux and J. W. Thomas",
title = "{TDFAC}: a composite grid method for time dependent
problems",
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Multigrid Methods",
volume = "2",
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publisher = "Computational Mathematics Group, Univ. of Colorado",
address = "Denver",
year = "1989",
pages = "181--202",
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title = "A parallel block-structured {E}uler/{N}avier-{S}tokes
code with adaptive refinement and run-time load balancing
on the i{PSC}-860 hypercube",
booktitle = "Parallel Computational Fluid Dynamics",
editors = "A. Ecer and J. Hauser and P. Leca and J. P{\'e}riaux",
publisher = "Elsevier Science Publishers B.V. (North--Holland)",
address = "Amsterdam",
year = "1995",
pages = "243--250",
}
@incollection{LRLustman_QHuynh_MYHussaini_1982a,
author = "L. R. Lustman and Q. Huynh and M. Y. Hussaini",
title = "Multigrid method with weighted mean scheme",
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series = "NASA Conference Publication 2202",
publisher = "Ames Research Center",
address = "Moffett Field, CA",
year = "1982",
pages = "47--59",
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year = "1994",
pages = "271--276",
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author = "L. Ma and Q. Chang",
title = "Compensation method of an optimal--order {W}ilson
nonconforming multigrid",
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editors = "R. Glowinski and J. P{\'e}riaux and Z.--C. Shi and O. Widlund",
series = "8th International Conference, Beijing, P. R. China",
volume = "",
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pages = "221--226",
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author = "H. T. {M.~van der} Maarel",
title = "Local Grid Refinement Method for the {E}uler Equations",
school = "University of Amsterdam",
address = "The Netherlands",
year = "1993",
}
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author = "H. T. M. van der Maarel and P. W. Hemker and B. Koren and
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year = "1993",
pages = "49--75",
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booktitle = "Ninth International Conference on Domain Decomposition
Methods",
editors = "P. E. Bj{\/o}rstad and M. S. Espedal and D. E. Keyes",
publisher = "DDM.org",
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year = "1997",
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volume = "8",
year = "1988",
pages = "1121--1134",
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author = "M. G. Macaraeg and C. L. Streett",
title = "An analysis of artificial viscosity effects on reacting
flows using a spectral multi--domain technique",
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address = "Amsterdam",
year = "1988",
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author = "M. G. Macaraeg and C. L. Streett and M. Y. Hussaini",
title = "A spectral multi--domain technique applied to high--speed
chemically reacting flows",
booktitle = "Domain Decomposition Methods",
editor = "T. F. Chan and R. Glowinski and J. P{\'e}riaux and
O. B. Widlund",
publisher = "SIAM",
address = "Philadelphia",
year = "1989",
pages = "361--391",
}
@inproceedings{GMack_1988a,
author = "G. Mack",
title = "Multigrid methods in quantum field theory",
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editor = "G. 't Hooft et al.",
series = "NATO ASI Series, Series B: Physics",
volume = 185,
publisher = "Plenum Press",
address = "New York",
year = 1988,
pages = "309--351"
}
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author = "G. Mack and T. Kalkreuter and G. Palma and M. Speh",
title = "Effective Field Theories",
booktitle = "Proceedings of the 31. Internationale Universit{\"a}tswochen
f{\"u}r Kern- und Teilchenphysik, Schladming,
Austria, 1992",
editor = "H. Gausterer and C. B. Lang",
series = "Lecture Notes in Physics",
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publisher = "Springer",
address = "Berlin",
year = "1992",
pages = "205--250"
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author = "J. A. Mackenzie and E. S{\"u}li and G. Warnecke",
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volume method",
booktitle = "Adaptive Methods -- Algorithms, Theory and Applications",
editors = "W. Hackbusch and G. Wittum",
series = "Notes on Numerical Fluid Mechanics",
volume = "46",
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address = "Braunschweig",
year = "1994",
pages = "221--235",
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author = "Y. Maday and C. Mavriplis and A. T. Patera",
title = "Nonconforming mortar element methods: {A}pplication to
spectral discretizations",
booktitle = "Intl. Symp. on Domain Decomposition Methods",
editor = "T. F. Chan",
publisher = "SIAM",
address = "Philadelphia",
year = "1988",
pages = "392--418",
}
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author = "Y. Maday and D. Meiron and A. T. Patera and
E. M. R{\o}nquist",
title = "Analysis of iterative methods for steady and unsteady
{S}tokes problem: {A}pplication of spectral element
discretization",
journal = "SIAM J. Sc. Comp.",
volume = "14",
year = "1993",
pages = "301--337",
}
@article{YMaday_RMunoz_1988a,
author = "Y. Maday and R. Mu{\~n}oz",
title = "Spectral element multigrid. {II}. {T}heoretical
justification",
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volume = "3",
year = "1988",
pages = "323--352",
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author = "Y. Maday and A. T. Patera",
title = "Nonconforming mortar element methods: {A}pplication to
spectral discretizations",
booktitle = "Domain Decomposition Methods",
editor = "T. F. Chan and R. Glowinski and
J. P{\'e}riaux and O. B. Widlund",
publisher = "SIAM",
address = "Philadelphia",
year = "1989",
pages = "392--418",
}
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title = "Newton--multigrid algorithm for
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year = "1995",
pages = "408--425",
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title = "Two-level {S}chwarz methods for indefinite integral
equations",
booktitle = "Ninth International Conference on Domain Decomposition
Methods",
editors = "P. E. Bj{\/o}rstad and M. S. Espedal and D. E. Keyes",
publisher = "DDM.org",
address = "Bergen",
year = "1997",
pages = "504--508",
}
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author = "J. F. Maitre and F. Musy",
title = "The contraction number of a class of two--level methods;
an exact evaluation for some finite element subspaces and
model problems",
booktitle = "Multigrid Methods",
editor = "W. Hackbusch and U. Trottenberg",
series = "Lecture Notes in Mathematics",
volume = "960",
publisher = "Springer--Verlag",
address = "Berlin",
year = "1982",
pages = "535--544",
}
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author = "J. F. Maitre and F. Musy",
title = "M{\'e}thodes multigrilles: op{\'e}rateur associ{\'e} et
estimations du facteur de convergence; le cas du {V}--cycle",
journal = "C.R. Acad. Sci. Paris",
volume = "Ser. I, 296",
year = "1983",
pages = "521--524"
}
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author = "J. F. Maitre and F. Musy",
title = "Multigrid methods: convergence theory in a variational
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journal = "SIAM J. Numer. Anal.",
volume = "21",
year = "1984",
pages = "657--671",
}
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author = "J. F. Maitre and F. Musy",
title = "Algebraic formalisation of the multigrid method in the
symmetric and positive definite case---a convergence
estimation for the {V}--cycle",
booktitle = "Multigrid Methods for Integral and Differential Equations",
editor = "D. J. Paddon and H. Holstein",
series = "The Institute of Mathematics and its Applications Conference
Series",
volume = "3",
publisher = "Clarendon Press",
address = "Oxford",
year = "1985",
pages = "213--224",
}
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author = "J. F. Maitre and F. Musy and P. Nignon",
title = "A fast solver for the {S}tokes equations using multigrid
with a {UZAWA} smoother",
booktitle = "Advances in Multi--Grid Methods",
editor = "D. Braess and W. Hackbusch and U. Trottenberg",
series = "Notes on Numerical Fluid Mechanics",
volume = "11",
publisher = "Vieweg",
address = "Braunschweig",
year = "1984",
pages = "77--83",
}
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author = "S. Majumdar",
title = "Role of underrelaxation in momentum interpolation for
calculation of flow with nonstaggered grids",
journal = "Numer. Heat Transf.",
volume = "13",
year = "1988",
pages = "125--132",
}
@phdthesis{SMalhotra_1996a,
author = "S. Malhotra",
title = "Topics in Multigrid Methods",
school = "Yale University",
address = "Department of Computer Science, New Haven, CT",
year = "1996",
}
@phdthesis{SMaliassov_1996a,
author = "S. Maliassov",
title = "Optimal Order Preconditioners for Mixed and Nonconforming
Finite Element Approximations of Elliptic Problems with
Anisotropy",
school = "Texas A\&M",
address = "College Station, TX",
year = "1996",
}
@inproceedings{SMaliassov_1996b,
author = "S. Maliassov",
title = "A note on substructuring preconditioning for nonconforming
finite element approximations of second order elliptic
problems",
booktitle = "Seventh Copper Mountain Conference on Multigrid Methods",
volume = "CP 3339",
editor = "N. D. Melson and T. A. Manteuffel and S. F. McCormick and
C. C. Douglas",
publisher = "NASA",
address = "Hampton, VA",
year = "1996",
pages = "489--501",
}
@article{SGMallat_1989a,
author = "S. G. Mallat",
title = "Multifrequency channel decompositions of images and wavelet
models",
journal = "IEEE Trans. Acoust. Signal Speech Process",
volume = "37",
year = "1989",
pages = "2091--2110",
}
@article{IGMamedova_VASerebryakov_1995a,
author = "I. G. Mamedova and V. A. Serebryakov",
title = "Parallel programming of boundary valued problems for the
{P}oisson and {H}elmholtz equations by a multigrid
algorithm",
journal = "Programmirovanie",
volume = "21",
year = "1995",
pages = "",
}
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author = "J. C. Mandal and H. S. Rajput",
title = "An improved multigrid method for {E}uler equations",
journal = "J. Comput. Mech.",
volume = "23",
year = "1999",
pages = "397--403",
}
@article{JMandel_1981a,
author = "J. Mandel",
title = "Convergence of an iterative method for the system
{A}x + y = x using aggregation",
journal = "Ekonom.--Mat. Obzor.",
volume = "17",
year = "1981",
pages = "287--291",
}
@article{JMandel_1984a,
author = "J. Mandel",
title = "A multi--level iterative method for symmetric, positive
definite linear complementarity problems",
journal = "Appl. Math. Optim.",
volume = "11",
year = "1984",
pages = "77--95"
}
@incollection{JMandel_1984b,
author = "J. Mandel",
title = "On some two-level iterative methods",
booktitle = "Defect Correction Methods: Theory and Applications",
editor = "K. B{\"o}hmer and H. J. Stetter",
series = "Computing Suppl. 5",
publisher = "Springer--Verlag",
address = "Vienna",
year = "1984",
pages = "75--88"
}
@article{JMandel_1984c,
author = "J. Mandel",
title = "Etude alg{\'e}brique d'une m{\'e}thode multigrille pour
quelques probl{\'e}es de fronti{\`e}re libre",
journal = "C.R. Acad. Sci. Paris",
series = "I",
volume = "298",
year = "1984",
pages = "469--472",
note = "Sometimes cited as
Algebraic study of a multigrid method for some free
boundary problem",
}
@article{JMandel_1984d,
author = "J. Mandel",
title = "A convergence analysis of the iterative aggregation method
with one parameter",
journal = "J. Lin. Alg. Applic.",
volume = "59",
year = "1984",
pages = "159--169",
}
@article{JMandel_1985a,
author = "J. Mandel",
title = "On multilevel iterative methods for integral equations of
the second kind and related problems",
journal = "Numer. Math.",
volume = "46",
year = "1985",
pages = "147--157"
}
@article{JMandel_1986a,
author = "J. Mandel",
title = "Multigrid convergence for nonsymmetric, indefinite variational problems and one smoothing step",
journal = "Appl. Math. Comput.",
volume = "19",
year = "1986",
pages = "201--216"
}
@inproceedings{JMandel_1986b,
author = "J. Mandel",
title = "On multigrid and iterative aggregation methods for
nonsymmetric problems",
booktitle = "Multigrid Methods II",
editor = "W. Hackbusch and U. Trottenberg",
publisher = "Springer--Verlag",
address = "Berlin",
year = "1986",
pages = "219--231",
}
@incollection{JMandel_1987a,
author = "J. Mandel",
title = "On multigrid and iterative aggregation methods for
nonsymmetric problems",
booktitle = "Multigrid Methods {II}",
editor = "W. Hackbusch and U. Trottenberg",
publisher = "Springer-Verlag",
address = "Berlin",
year = "1987",
pages = "219--231"
}
@article{JMandel_1988a,
author = "J. Mandel",
title = "Algebraic study of multigrid methods for symmetric, definite
problems",
journal = "Appl. Math. Comput.",
volume = "25",
year = "1988",
pages = "39--56"
}
@inproceedings{JMandel_1989a,
author = "J. Mandel",
title = "Two--level domain decomposition preconditioning for the
{p}--version finite element method in three dimensions",
booktitle = "Preliminary Proc. of the 4th Copper Mountain Conference on
Multigrid Methods",
volume = "4",
editor = "J. Mandel and S. F. McCormick",
publisher = "Computational Mathematics Group, Univ. of Colorado",
address = "Denver",
year = "1989",
pages = "1--16",
}
@inproceedings{JMandel_1990a,
author = "J. Mandel",
title = "Hierarchical preconditioning and partial orthogonalization
for the {$p$}-version finite element method",
booktitle = "Third International Symposium on Domain Decomposition
Methods for Partial Differential Equations",
editor = "T. F. Chan and R. Glowinski and J. P{\'e}riaux and
O. B. Widlund",
publisher = "SIAM Books",
address = "Philadelphia",
year = "1990",
pages = "141--156"
}
@article{JMandel_1990b,
author = "J. Mandel",
title = "Iterative solvers by substructuring for the {$p$}-version
finite element method",
journal = "Comput. Meth. Appl. Mech. Engrg.",
volume = "80",
year = "1990",
pages = "117--128"
}
@article{JMandel_1990c,
author = "J. Mandel",
title = "On block diagonal and {S}chur complement preconditioning",
journal = "Numer. Math.",
volume = "58",
year = "1990",
pages = "79--93"
}
@article{JMandel_1990d,
author = "J. Mandel",
title = "Two-level domain decomposition preconditioning for the
{$p$}-version finite element method in three dimensions",
journal = "Int. J. Numer. Meth. Engng.",
volume = "29",
year = "1990",
pages = "1095--1108"
}
@incollection{JMandel_1991a,
author = "J. Mandel",
title = "Some recent advances in multigrid methods",
booktitle = "Advances in Electronics and Electron Physics",
editor = "P. S. Hawkes",
volume = "82",
publisher = "Academic Press",
address = "New York",
year = "1991",
pages = "327--377"
}
@inproceedings{JMandel_1991b,
author = "J. Mandel",
title = "Fast iterative solver for finite elements using incomplete
elimination",
booktitle = "Preliminary Proceedings of the Fifth Copper Mountain
Conference on Multigrid Methods",
volume = "2",
editor = "T. A. Manteuffel and S. F. McCormick",
publisher = "University of Colorado",
address = "Denver",
year = "1991",
pages = "263--282",
}
@incollection{JMandel_1993a,
author = "J. Mandel",
title = "Adaptive Iterative Solvers in Finite Elements",
booktitle = "Solving Large Scale Problems in Mechanics.
The Development and Application of Computational Solution
Methods",
editor = "M. Papadrakakis",
publisher = "J. Wiley \& Sons",
address = "London",
year = "1993",
pages = "65--88",
}
@article{JMandel_1993b,
author = "J. Mandel",
title = "Balancing domain decomposition",
journal = "Comm. Numer. Meth. Engrg.",
volume = "9",
year = "1993",
pages = "233--241",
}
@inproceedings{JMandel_1993c,
author = "J. Mandel",
title = "Intelligent block iterative methods",
booktitle = "FEM Today and the Future",
editor = "J. Robinson",
publisher = "Robinson and Associates",
address = "Okehampton, Devon EX20 4NT, England",
year = "1993",
pages = "",
}
@inproceedings{JMandel_1994a,
author = "J. Mandel",
title = "Hybrid domain decomposition with unstructured subdomains",
booktitle = "Domain Decomposition Methods in Science and Engineering:
The Sixth International Conference on Domain Decomposition",
editors = "A. Quarteroni and J. P{\'e}riaux and Yu. A. Kuznetsov and
O. B. Widlund",
series = "Contemporary Mathematics",
volume = "157",
publisher = "American Mathematical Society",
address = "Providence, Rhode Island",
year = "1994",
pages = "103--112",
}
@article{JMandel_GSLett_1991a,
author = "J. Mandel and G. S. Lett",
title = "Domain decomposition preconditioning for p-version
finite elements with high aspect ratios",
journal = "Appl. Numer. Anal.",
volume = "8",
year = "1991",
pages = "411--425",
}
@inproceedings{JMandel_SFMcCormick_1989a,
author = "J. Mandel and S. F. McCormick",
title = "Iterative solution of elliptic equations with refinement:
the model multi-level case",
booktitle = "Domain Decomposition Methods",
editor = "T. F. Chan and R. Glowinski and
J. P{\'e}riaux and O. B. Widlund",
publisher = "SIAM Books",
address = "Philadelphia",
year = "1989",
pages = "93--102"
}
@inproceedings{JMandel_SFMcCormick_1989b,
author = "J. Mandel and S. F. McCormick",
title = "Iterative solution of elliptic equations with refinement:
{T}he two--level case",
booktitle = "Domain Decomposition Methods",
editor = "T. F. Chan and R. Glowinski and J. P{\'e}riaux and
O. B. Widlund",
publisher = "SIAM",
address = "Philadelphia",
year = "1989",
pages = "81--92",
}
@article{JMandel_SFMcCormick_1989c,
author = "J. Mandel and S. F. McCormick",
title = "A multilevel variational method for {$Au = \lambda Bu$} on
composite grids",
journal = "J. Comput. Phys.",
volume = "80",
year = "1989",
pages = "442--452"
}
@book{JMandel_SFMcCormick_1989d,
author = "J. Mandel and S. F. McCormick",
title = "Preliminary Proceedings of the 4th Copper Mountain
Conference on Multigrid Methods",
publisher = "University of Colorado",
address = "Denver",
year = "1991",
}
@incollection{JMandel_SFMcCormick_REBank_1987a,
author = "J. Mandel and S. F. McCormick and R. E. Bank",
title = "Variational multigrid theory",
booktitle = "Multigrid Methods",
editor = "S. F. McCormick",
series = "Frontiers in Applied Mathematics",
volume = "3",
publisher = "SIAM Books",
address = "Philadephia",
year = "1987",
pages = "131--177"
}
@book{JMandel_SFMcCormick_JEDendy_CFarhat_GLonsdale_SVParter_JWRuge_KStuben_1989a,
author = "J. Mandel and S. F. McCormick and J. E. Dendy and C. Farhat
and G. Lonsdale and S. V. Parter and J. W. Ruge and
K. St{\"u}ben",
title = "Proceedings of the Fourth Copper Mountain Conference on
Multigrid Methods",
publisher = "SIAM",
address = "Philadelphia",
year = "1989",
}
@article{JMandel_SFMcCormick_JWRuge_1988a,
author = "J. Mandel and S. F. McCormick and J. W. Ruge",
title = "An algebraic theory for multigrid methods for variational
problems",
journal = "SIAM J. Numer. Anal.",
volume = "25",
year = "1988",
pages = "91--110"
}
@article{JMandel_WLMiranker_1990a,
author = "J. Mandel and W. L. Miranker",
title = "New techniques for fast hybrid solution of systems of
equations",
journal = "Int. J. Numer. Meth. Engng.",
volume = "27",
year = "1990",
pages = "455--468"
}
@incollection{JMandel_HOmbe_1988a,
author = "J. Mandel and H. Ombe",
title = "Fourier analysis of a multigrid method for 3{D} elasticity",
editor = "S. F. McCormick",
booktitle = "Multigrid Methods: Theory, Applications, and Supercomputing",
series = "Lecture Notes in Pure and Applied Mathematics",
volume = "110",
publisher = "Marcel Dekker",
address = "New York",
year = "1988",
pages = "389--411"
}
@article{JMandel_SVParter_1990a,
author = "J. Mandel and S. V. Parter",
title = "On the multigrid {F}-cycle",
journal = "Appl. Math. Comput.",
volume = "37",
year = "1990",
pages = "19--36"
}
@article{JMandel_BSekerka_1983a,
author = "J. Mandel and B. Sekerka",
title = "A local convergence proof for the iterative aggregation
method",
journal = "J. Lin. Alg. Applic.",
volume = "51",
year = "1983",
pages = "163--172"
}
@inproceedings{JMandel_RTezaur_1996a,
author = "J. Mandel and R. Tezaur",
title = "Convergence of a substructuring method with {L}agrange
multipliers",
booktitle = "Seventh Copper Mountain Conference on Multigrid Methods",
volume = "CP 3339",
editor = "N. D. Melson and T. A. Manteuffel and S. F. McCormick and
C. C. Douglas",
publisher = "NASA",
address = "Hampton, VA",
year = "1996",
pages = "503--518",
}
@article{LMansfield_1980a,
author = "L. Mansfield",
title = "On the solution of nonlinear finite element systems",
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theory for the {V}--cycle",
journal = "SIAM J. Numer. Anal.",
volume = "22",
year = "1985",
pages = "634--643",
}
@article{SFMcCormick_1986a,
author = "S. F. McCormick",
title = "The fast adaptive composite ({FAC}) method for elliptic
equations",
journal = "Math. Comp.",
volume = "46",
year = "1986",
pages = "439--456",
}
@article{SFMcCormick_1986b,
author = "S. F. McCormick",
title = "Second Copper Mountain Conference on Multigrid Methods",
journal = "Appl. Math. Comput.",
volume = "19",
year = "1986",
pages = "1--372",
}
@book{SFMcCormick_1987a,
author = "S. F. McCormick",
title = "Multigrid Methods",
series = "Frontiers in Applied Mathematics",
volume = "3",
publisher = "SIAM Books",
address = "Philadelphia",
year = "1987",
}
@book{SFMcCormick_1988a,
author = "S. F. McCormick",
title = "Multigrid Methods: Theory, Applications, and Supercomputing",
series = "Lecture Notes in Pure and Applied Mathematics",
volume = "110",
publisher = "Marcel Dekker",
address = "New York",
year = "1988",
}
@article{SFMcCormick_1988b,
author = "S. F. McCormick",
title = "Multigrid trends",
journal = "SIAM News",
year = "1988",
volume = "21",
number = "1",
month = "January",
pages = "",
}
@book{SFMcCormick_1989a,
author = "S. F. McCormick",
title = "Multilevel Adaptive Methods for Partial Differential
Equations",
series = "Frontiers in Applied Mathematics",
volume = "6",
publisher = "SIAM Books",
address = "Philadelphia",
year = "1989",
}
@article{SFMcCormick_1989b,
author = "S. F. McCormick",
title = "Computation: breaking the matrix speed limit",
journal = "Nature Magazine (News and Views)",
year = "1989",
volume = "337",
page = "205",
}
@book{SFMcCormick_1992a,
author = "S. F. McCormick",
title = "Multilevel Projection Methods for Partial Differential
Equations",
series = "CBMS--NSF",
volume = "62",
publisher = "SIAM Books",
address = "Philadelphia",
year = "1992",
}
@article{SFMcCormick_1994a,
author = "S. F. McCormick",
title = "Multilevel adaptive methods for elliptic eigenproblems: two
level convergence theory",
journal = "SIAM J. Numer. Anal.",
year = "1994",
volume = "31",
pages = "1731--1745",
}
@article{SFMcCormick_SMMcKay_JWThomas_1990a,
author = "S. F. McCormick and S. M. McKay and J. W. Thomas",
title = "Computational complexity of the fast adaptive composite grid
(FAC) method",
journal = "Appl. Numer. Math.",
year = "1990",
volume = "6",
pages = "",
}
@article{SFMcCormick_DQuinlan_1989a,
author = "S. F. McCormick and D. Quinlan",
title = "Asynchronous multilevel adaptive methods for solving partial
differential equations on multiprocessors:
performance results",
journal = "Parallel Comput.",
volume = "12",
year = "1989",
pages = "145--156",
}
@incollection{SFMcCormick_DQuinlan_1989b,
author = "S. F. McCormick and D. Quinlan",
title = "Dynamic grid refinement for partial differential equations on
parallel computers",
booktitle = "Proceedings of the Seventh International Conference of Finite
Element Methods in Flow Problems",
year = "1989",
pages = "1225--1230",
}
@inproceedings{SFMcCormick_DQuinlan_1992a,
author = "S. F. McCormick and D. Quinlan",
title = "Idealized analysis of asynchronous multilevel methods",
booktitle = "Proceedings Symposium on Adaptive, Multilevel, and
Hierarchical Computational Strategies",
editor = "A. K. Noor",
publisher = "ASME AMD",
year = "1992",
volume = "157",
pages = "1--8",
}
@article{SFMcCormick_URude_1990a,
author = "S. F. McCormick and U. R{\"u}de",
title = "On local refinement higher order methods for elliptic partial
differential equations",
journal = "Int. J. High Speed Comput.",
volume = "2",
year = "1990",
pages = "311--334"
}
@article{SFMcCormick_URude_1994a,
author = "S. F. McCormick and U. R{\"u}de",
title = "A finite volume convergence theory for the fast adaptive
composite grid method",
journal = "Appl. Numer. Math.",
year = "1994",
volume = "14",
pages = "91--103",
}
@article{SFMcCormick_JWRuge_1982a,
author = "S. F. McCormick and J. W. Ruge",
title = "Multigrid methods for variational problems",
journal = "SIAM J. Numer. Anal.",
volume = "19",
year = "1982",
pages = "924--929",
}
@article{SFMcCormick_JWRuge_1983a,
author = "S. F. McCormick and J. W. Ruge",
title = "Unigrid for multigrid simulation",
journal = "Math. Comp.",
volume = "41",
year = "1983",
pages = "43--62",
}
@incollection{SFMcCormick_JWRuge_1989a,
author = "S. F. McCormick and J. W. Ruge",
title = "Algebraic multigrid methods applied to problems in
computational structural mechanics",
booktitle = "State-of-the-Art Surveys on Computational Mechanics",
editors = "",
publisher = "ASME",
address = "New York",
year = "1989",
pages = "237--270",
}
@inproceedings{SFMcCormick_JWThomas_1981a,
author = "S. F. McCormick and J. W. Thomas",
title = "Multigrid methods applied to water wave problems",
booktitle = "Proc. Third Internat. Conference Ship Hydrodynamics",
editor = "",
publisher = "",
address = "Paris",
year = "1981",
pages = "",
}
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author = "S. F. McCormick and J. W. Thomas",
title = "The fast adaptive composite grid ({FAC}) method for
elliptic equations",
journal = "Math. Comp.",
volume = "46",
year = "1986",
pages = "439--456",
}
@article{SFMcCormick_UTrottenberg_1983a,
author = "S. F. McCormick and U. Trottenberg",
title = "Multigrid Methods",
journal = "Appl. Math. Comput.",
volume = "13",
year = "1983",
pages = "213--474",
notes = "Proceedings of the 1981 Copper Mountain Multigrid Conference"
}
@article{SFMcCormick_JGWade_1993a,
author = "S. F. McCormick and J. G. Wade",
title = "Multigrid solution of a linearized, regularized least
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volume = "9",
year = "1993",
pages = "697--713",
}
@phdthesis{SMMcKay_1990a,
author = "S. M. McKay",
title = "Adaptive Methods Applied to the Fast Adaptive Composite
Grid Method",
school = "Colorado State University",
address = "Ft. Collins",
year = "1990",
}
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author = "S. M. McKay and J. W. Thomas",
title = "Application of the self adaptive time dependent fast
adaptive composite grid method",
booktitle = "Proceedings of the Fourth Copper Mountain Conference on
Multigrid Methods",
editor = "J. Mandel and S. F. McCormick and J. E. Dendy and C. Farhat
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K. St{\"u}ben",
publisher = "SIAM",
address = "Philadelphia",
year = "1989",
pages = "338--247",
}
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author = "S. M. McKay and J. W. Thomas",
title = "Resolution of moving fronts using the self-adaptive
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journal = "Comm. Appl. Num. Methods",
volume = "8",
year = "1992",
pages = "651--659"
}
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booktitle = "Domain Decomposition Methods in Scientific and Engineering
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year = "1993",
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editor = "N. D. Melson and T. A. Manteuffel and S. F. McCormick and
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title = "Seventh Copper Mountain Conference on Multigrid Methods",
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year = "1996",
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booktitle = "Seventh Copper Mountain Conference on Multigrid Methods",
volume = "CP 3339",
editor = "N. D. Melson and T. A. Manteuffel and S. F. McCormick and
C. C. Douglas",
publisher = "NASA",
address = "Hampton, VA",
year = "1996",
pages = "565--579",
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multigrid acceleration",
booktitle = "Sixth Copper Mountain Conference on Multigrid Methods",
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editor = "N. D. Melson and T. A. Manteuffel and S. F. McCormick",
publisher = "NASA",
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pages = "423--437",
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@inproceedings{BNourOmid_BNParlett_ARaefsky_1988a,
author = "B. Nour--{O}mid and B. N. Parlett and A. Raefsky",
title = "Comparison of {L}anczos with conjugate gradient using element
preconditioning",
booktitle = "First International Symposium on Domain Decomposition
Methods for Partial Differential Equations",
editor = "R. Glowinski and G. H. Golub and G. A. Meurant and
J. P{\'e}riaux",
publisher = "SIAM",
address = "Philadelphia",
year = "1988",
pages = "250--260",
}
@inproceedings{ZPNowak_1982a,
author = "Z. P. Nowak",
title = "Use of the multigrid method for {L}aplacian problem in
three dimensions",
booktitle = "Multigrid Methods",
editor = "W. Hackbusch and U. Trottenberg",
series = "Lecture Notes in Mathematics",
volume = "960",
publisher = "Springer--Verlag",
address = "Berlin",
year = "1982",
pages = "576--598",
}
@inproceedings{ZPNowak_1984a,
author = "Z. P. Nowak",
title = "Calculations of transonic flows around single and
multi--element airfoils on a small computer",
booktitle =