Send mail to:    mgnet@cs.yale.edu             for the digests or bakeoff
                  mgnet-requests@cs.yale.edu    for comments or help
 Current editor:  Craig Douglas                 douglas-craig@cs.yale.edu
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Today's editor:  Craig Douglas (douglas-craig@cs.yale.edu)

Volume 2, Number 3 (March 16, 1992)

Today's topics:

     Paper by Ulrich Ruede Available
     Coming Attractions
     References

-------------------------------------------------------

From: Ulrich Ruede 
Date:   Tue, 18 Feb 92 12:44:50 +0100
Subject: Paper on adaptive multilevel methods

My paper
    Fully Adaptive Multigrid Methods
has just been downloaded to the mgnet ftp repository. The full paper
is available in a compressed postscrip format, the abstract is also available
as a plain ascii file.

This is an experiment for me. I'd appreciate feedback if anyone has
trouble unpacking the paper.

    Editors Note:  It is in the directory mgnet/papers/Ruede.
    ------------

Abstract:

Adaptivity is a key concept for the effective numerical solution of
differential equations.  The multilevel solution of elliptic partial
differential equations can be combined with adaptive mesh refinement
and an adaptive choice of the discretization order.  Additionally,
adaptivity may be built into the relaxation and the multilevel cycling
strategy.  The goal of these {\em fully adaptive} methods is to spend
work only where it is most effective in the solution process.  This
approach includes concepts like {\em local relaxation} and not only
leads to particularly fast convergence but also to additional
robustness and generality.  The efficient implementation of fully
adaptive multilevel methods in a finite element framework will be
discussed. 

Keywords: adaptivity, multilevel techniques, elliptic PDE,
finite elements 

AMS Classifications: 65N22, 65N30, 65N50, 65N55

-------------------------------------------------------

Date: Mon, 2 Mar 92 23:15:48 MST
From: jmandel@elbert.Denver.Colorado.Edu (Jan Mandel)
Subject: Comming Attraction

I have just finished a code implementing "Balancing Domain Decomposition" that
I would like to inflict on the innocent public.  How can I post in on your
MGNET?

    Editor's Note:  We have all been warned...
    -------------

-------------------------------------------------------

From: douglas-craig@blondie.cs.yale.edu (Craig Douglas)
Date: Mon, 16 Mar 92 10:15:00 EST
Subject: Some Papers of Possible Interest

@article{MAlef91,
  author =      "M. Alef",
  title =       "Concepts for efficient multigrid implementation on
                 {SUPRENUM}--like architectures.",
  journal =     "Parallel. Comput.",
  volume =      "17",
  year =        "1991",
  pages =       "1--16"
  }
@article{JHBramble_JEPasciak_JWang_JXu91,
  author =      "J. H. Bramble and J. E. Pasciak and J. Wang and J. Xu",
  title =       "Convergence estimates for multigrip algorithms without
                 regularity assumptions",
  journal =     "Math. Comput.",
  volume =      "57",
  year =        "1991",
  pages =       "23--45"
  }
@article{JHBramble_JXu91,
  author =      "J. H. Bramble and J. Xu",
  title =       "Some estimates for a weighted $L^2$ projection",
  journal =     "Math. Comput.",
  volume =      "56",
  year =        "1991",
  pages =       "463--476"
  }
@article{RCBrower_PTamayo_BYork91,
  author =      "R. C. Brower and P. Tamayo and B. York",
  title =       "A parallel multigrid algorithm for percolation clusters",
  journal =     "J. Stat. Phys.",
  volume =      "63",
  year =        "1991",
  pages =       "73--88"
  }
@article{CSChow_JNTsitsiklis91,
  author =      "C. S. Chow and J. N. Tsitsiklis",
  title =       "An optimal one-way multigrid algorithm for discrete--time
                 stochastic control",
  journal =     "IEEE Trans. Autom. Control",
  volume =      "36",
  year =        "1991",
  pages =       "898--914"
  }
@article{CIGoldstein91,
  author =      "C. I. Goldstein",
  title =       "Multigrid analysis of finite element methods with numerical
                 integration",
  journal =     "Math. Comput.",
  volume =      "56",
  year =        "1991",
  pages =       "409--436"
  }
@article{PWHemker90,
  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{WJoppich90,
  author =      "W. Joppich",
  title =       "A multigrid algorithm with time dependent, locally refined
                 grids for solving the nonlinear diffusion equation on a
                 nonrectangular geometry",
  journal =     "Electrosoft",
  volume =      "1",
  year =        "1990",
  pages =       "253--61"
  }
@article{DSJoshi_SPVanka91,
  author =      "D. S. Joshi and S. P. Vanka",
  title =       "Multigrid calculation procedure for internal flows in complex
                 geometries",
  journal =     "Numer. Heat Transf.",
  volume =      "20",
  year =        "1991",
  pages =       "61--80"
  }
@article{SFMcCormick_URude90,
  author =      "S. F. McCormick and U. Rude",
  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{SMijalkovic90,
  author =      "S. Mijalkovic",
  title =       "An adaptive multigrid algorithm for simulation of diffusion
                 processes in semiconductor device fabrication",
  journal =     "Electrosoft",
  volume =      "1",
  year =        "1991",
  pages =       "277--90"
  }
@article{JJMonaghan_JCLattanzio91,
  author =      "J. J. Monaghan and J. C. Lattanzio",
  title =       "A simulation of the collapse and fragmentation of cooling
                 molecular clouds",
  journal =     "Astrophys. J.",
  volume =      "375",
  year =        "1991",
  pages =       "177--89"
  }
@article{MNapolitano_LACatalano91,
  author =      "M. Napolitano and L. A. Catalano",
  title =       "Multigrid solver for the vorticity-velocity Navier-Stokes
                 equations",
  journal =     "Int. J. Numer. Methods Fluids",
  volume =      "13",
  year =        "1991",
  pages =       "49--59"
  }
@article{APPeirce91,
  author =      "A. P. Peirce",
  title =       "Efficient multigrid solution of boundary element models of
                 cracks and faults",
  journal =     "Int. J. Numer. Anal. Methods Geomech.",
  volume =      "15",
  year =        "1991",
  pages =       "549-- 72"
  }
@article{DRayner91,
  author =      "D. Rayner",
  title =       "Multigrid flow solutions in complex two-dimensional
                 geometries",
  journal =     "Int J Numer Methods Fluids",
  volume =      "13",
  year =        "1991",
  pages =       "507--518"
  }
@article{JLXiao_ADSokal91,
  author =      "J. L. Xiao and A. D. Sokal",
  title =       "Rigorous lower bound on the dynamic critical exponent of some
                 multilevel {S}wendsen {W}ang algorithms",
  journal =     "Phys. Rev. Lett.",
  volume =      "67",
  year =        "1991",
  pages =       "1482--1485"
  }

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