SIXTH ANNUAL COPPER MOUNTAIN CONFERENCE ON MULTIGRID METHODS April 4 - 9, 1993 SUNDAY APRIL 4 ROOM A: 7:00 - 9:00 p.m. RECEPTION ****Rooms will be available in off-hours for**** **informal workshops and continuation of Circus as needed** MONDAY APRIL 5TH ROOM A: 8:00 a.m. - 12:00 p.m. (10-10:30 a.m. Break) FLUIDS Chair: D. Bullivant J. Baumgardner, P. Frederickson 3-D spherical modeling of mantle dynamics C. Duncan, J. Jones A mixed method Poisson solver for three dimensional self- gravitating astrophysical fluid dynamical systems S.R. Fulton An adaptive multigrid model for hurricane track prediction J. Ruge Multigrid and local refinement in the shallow water equations D. Sholl Multilevel methods for shallow water equations I. Yavneh Multigrid solution to geophysical flows with stable stratification S. Yee Dual resolution results from a global spectral weather prediction model ROOM B: 8:00 a.m. - 12:00 p.m. (10-10:30 a.m. Break) DOMAIN DECOMPOSITION Chair: J. Pasciak X.C. Cai Overlapping Schwarz algorithms for nonlinear elliptic finite element problems L. Cowsar, J. Mandel, M.F. Wheeler Balancing domain decomposition for mixed finite elements E. D'Yakonov Optimal preconditioners and multigrid splittings H.C. Ku Multigrid domain decomposition approach for solution of Navier-Stokes equations in primitive variable form M. Mu A new family of preconditioners for domain decomposition L.F. Pavarino, O. Widlund Iterative substructuring methods for p-version finite elements M. Sarkis Two-level Schwarz methods for nonconforming P1 elements *** Noon - 4:00 p.m. *** BREAK ROOM A: 4:00 p.m. - 7:00 p.m. (5:30 - 6:00 p.m Break) CIRCUS Chair: C. Douglas ROOM B: 4:00 p.m. - 7:00 p.m. (5:30 - 6:00 p.m Break) INFORMAL WORKSHOPS Chair: P. Frederickson ***************************************************************** ***************************************************************** TUESDAY APRIL 6 ROOM A: 8:00 a.m. - 12:00 p.m. (10-10:30 a.m. Break) ITERATIVE METHODS Chair: O. Widlund S. Costiner, S. Ta'asan A multilevel adaptive simultaneous eigenvalue solver (MASES) E. DeSturler, D.R. Fokkema Nested GMRES and preserving the orthogonality in the inner method and efficient implementation B. Jawerth, W. Sweldens Wavelets adapted for the solution of ordinary differential equations S. Parter Preconditioning: different spaces, different discretizations O. Tatebe The multigrid preconditioned conjugate gradient method P.S. Vassilevski Block ILU-methods based on reduction of the block size J. Wang A modified hierarchical basis by the wavelet method ROOM B: 8:00 a.m. - 12:00 p.m. (10-10:30 a.m. Break) BASICS I Chair: K. Witsch J. Baumgardner, P. Frederickson Quadrature-based smoothers for strongly varying problems B. Bialecki, M. Dryja Multigrid and multilevel methods for orthogonal spline collocation problems J.H. Bolstad A high order multigrid method for elliptic problems with folds J.H. Bramble, D.Y. Kwak, J.E. Pasciak Uniform convergence of multigrid V-cycle iterations for indefinite and nonsymmetric problems A. Brandt New multi-scale processes S.R. Fulton, Y. Kang Relaxation schemes for Chebyshev spectral multigrid methods M. Griebel Point-block multilevel methods *** Noon - 4:00 p.m. *** BREAK ROOM A: 4:00 p.m. - 7:30 p.m. (5:30 - 6:00 p.m. Break) ADAPTIVE METHODS Chair: R. Ewing P. Angot, J.P. Caltagirone, K. Khadra A comparison of locally adaptive multigrid methods: LDC, FAC, and FIC R.E. Bank, M. Benbourenane A posteriori error estimator based on hierarchical basis M. Lemke, K. Witsch Multilevel algorithms and local refinement for singular perturbation problems W.F. Mitchell MGGHAT: elliptic PDE software with adaptive refinement, multigrid and high order finite elements N. Pantelelis The block adaptive multigrid method applied to the solution of the Euler equations C. Sung A multiblock multigrid local refinement method for incompressible Reynolds-averaged Navier-Stokes equations ROOM B: 4:00 p.m. - 7:00 p.m. (5:30 - 6:00 p.m. Break) NON-LINEAR FILTERING Chair: B. Rosovski B. Rozovski Non-linear filtering, the Zakai equation, etc., what it is all about K. Ito Hermite-polynomial based spectral method for the Zakai equation F. Campillo, F. Legland Numerical solutions of PDE's for stochastic systems R. Mikulevicius Wiener chaos decomposition as numerical method for stochastic PDE's Z. Cai FAC for the Zakai equation ***************************************************************** ***************************************************************** WEDNESDAY APRIL 7 ROOM A: 8:00 a.m. - 12:00 p.m. (10-10:30 a.m. Break) CFD I Chair: D. Melson M. Curran A multigrid-based finite-element approximation to solute transport in groundwater flow A.O. Demuren, S.O. Ibraheem Multigrid acceleration of implicit time-stepping algorithms for solving the Euler and Navier-Stokes equations C.C. Douglas, A. Ern Numerical solution of flame sheet problems with and without multigrid methods T. Dubois, R. Temam A multilevel procedure for the simulation of homogeneous and non-homogeneous turbulent flows R.E. Ewing, J. Shen Multigrid method in solving porous media flow problems L.H. Howell A multilevel adaptive projection method for unsteady incompressible flow J.E. Jones A mixed finite volume element method for simulation of flow in porous media ROOM B: 8:00 a.m. - 12:00 p.m. (10-10:30 a.m. Break) BASICS II Chair: S. Parter C.C. Douglas Implementing abstract multilevel algorithms B. Engquist, E. Luo Multigrid methods for differential equations with highly oscillatory coefficients H. Lee Multigrid method for integral equations and automatic programs S. McCormick Multilevel projection methods R. Tuminaro Cyclic reduction/multigrid V. Henson, A. Shaker The multilevel projection method for a semilinear elliptic problem R.V. Wilson On the prediction of multigrid efficiency through local mode analysis *** Noon - 4:00 p.m. *** BREAK ROOM A: 4:00 p.m. - 5:30 p.m. STUDENT AWARDS K. Brackenridge Multigrid and cyclic reduction applied to the Helmholtz equation C.O. Lee A nonconforming multigrid method using conforming subspaces M. Reichelt Optimal frequency-dependent SOR acceleration of waveform relaxation with application to semiconductor device simulation ROOM TO BE ANNOUNCED: 7:30 - 9:30 p.m. BANQUET ***************************************************************** ***************************************************************** THURSDAY APRIL 8 ROOM A: 8:00 a.m. - 12:00 p.m. (10-10:30 a.m. Break) CFD II Chair: P. Wesseling H.A. Becker, E.W. Grandmaison, D. Matovic, A. Pollard FAS multigrid calculations of three dimensional flow using non-staggered grids G.F. Carey, A.L. Pardhanani Multigrid simulation of nonlinear dynamics in reaction-diffusion systems L.A. Catalano, P. De Palma, M. Napolitano, G. Pascazio Multi-dimensional upwinding and grid adaptivity for the solution of inviscid flow problems A. Dervieux, E. Morano Looking for O(N) Navier-Stokes solutions on non-structured meshes B. Geurts, H. Kuerten Compressible turbulent flow simulation with a multigrid multiblock method C. Liu, Z-N Liu, Z-X Liu, S. McCormick Multilevel methods for flow transition in a plane channel with roughness elements P.M. Sockol Multigrid solution of the Navier-Stokes equations on highly stretched grids with defect correction ROOM B: 8:00 a.m. - 12:00 p.m. (10-10:30 a.m. Break) APPLICATIONS I Chair: R. Temam B. Bachmann A multigrid solver for the semiconductor equations S.C. Brenner Multigrid methods for parameter dependent problems G.F. Carey, H.S. Kohli Multigrid methods for the optimal design of electromagnets G.F. Carey, M.B. Davis Multilevel solution of augmented drift-diffusion equations K. Cavanaugh, V. Henson A multilevel cost-space approach to the long transportation problem T. Li Multilevel optimal control M. Limber On multigrid methods in image reconstruction *** Noon - 4:00 p.m. *** BREAK ROOM A: 4:00 p.m. - 5:30 p.m. TRANSPORT Chair: V. Henson B.T. Adams, J.E. Morel An upscatter acceleration technique for the multigroup Sn equations T. Manteuffel Multilevel methods for transport equations S. Oliveira Parallel algorithms for the anistropic transport equations ROOM B: 4:00 - 5:30 ALGEBRAIC SOLVERS Chair: J. Van Rosendale V.A. Bandy, J.E. Dendy, Jr. Comparison of two-dimensional black box multigrid solvers for advection-diffusion equations H. Regler, U. Ruede Layout optimization with algebraic multigrid methods (AMG) Y. Shapira An automatic multigrid method for the solution of sparse linear systems ***************************************************************** ***************************************************************** FRIDAY APRIL 9 ROOM A: 8:00 a.m. - 12:00 p.m. (10-10:30 a.m. Break) CFD III Chair: E. D'Yakonov W.K. Anderson, T.W. Roberts, G.P. Warren Multigrid properties of upwind-biased data reconstruction methods for solving the Euler/Navier-Stokes equations N.D. Melson, M.D. Sanetrik Time-accurate Navier-Stokes calculations with multigrid acceleration U.M. Ascher, D. Sidilkover A multigrid solver for incompressible Navier-Stokes on non-staggered grids M.J. Berger, D. J. Mavriplis, V. Venkatakrishnan Unstructured multigrid through agglomeration E. Dick, K. Riemslagh A multigrid method for steady Euler equations on unstructured adaptive grids R. Radespiel, R.C. Swanson Multigrid schemes for hypersonic viscous flows P. Wesseling, S. Zeng Multigrid for the incompressible Navier-Stokes equations in general coordinates ROOM B: 8:00 a.m. - 12:00 p.m. (10-10:30 a.m. Break) SUPERCOMPUTING Chair: C. Duncan H.C. Chen, A.F. He Vectorization and parallelization of finite strip method for dynamic mindlin plate problems J.E. Dendy, Jr. Multigrid methods for SIMD machines P.A. Farrell, A. Ruttan, R. R. Zeller Application of multigrid methods to the solution of liquid crystal equations on a SIMD computer M. Lemke, D. Quinlan An object-oriented approach for parallel self-adaptive mesh refinement on block structured grids L.R. Matheson, R.E. Tarjan Analysis of multigrid methods on massively parallel computers: architectural implications U. Ruede Object oriented implementation of multigrid algorithms J. Van Rosendale Mapping robust parallel multigrid algorithms to scalable memory architectures