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1997 Copper Mountain Conference on Multigrid Methods

General Information

    The conference was held in Copper Mountain, Colorado (USA) from Sunday, April 6 to Friday, April 11, 1997. This was the eighth in an every other year conference series on multigrid and related topics at this location. The ninth conference will be in April, 1999. Contact for more information about future conferences.

    The official proceedings appeared in Volume 6 (1998) of Electronic Transactions on Numerical Analysis (ETNA).

    The schedule, attendees, and views of the town are available.

Organizing Institutions

  • The University of Colorado
  • Front Range Scientific Computations, Inc.
  • The Society for Industrial and Applied Mathematics


  • Department of Energy
  • National Aeronautics and Space Administration
  • IBM


  • Markus Berndt
    Adaptive Mesh Refinement for First-Order System Least Squares (FOSLS)
  • M.L Bittencourt
    Non-nested Multigrid Methods in Finite Element Linear Structural Analysis
        Abstract    Paper
  • Pavel Bochev
    Negative Norm Least-squares for the Velocity-flux Navier-Stokes Equations
  • Achi Brandt
    Multiscale Methods: 1996 Review
        Abstract    Paper
  • Susanne C. Brenner
    Multigrid Methods for Stress Intensity Factors and Singular Solutions
        Abstract    Paper
  • Hans-Joachim Bungartz
    A Multigrid Algorithm for Higher Order Finite Elements on Sparse Grids
        Abstract    Paper
  • Zhiqiang Cai and Jim Douglas, Jr
    An Analytic Basis for Multigrid for Stabilized Finite Element Methods for Stokes
  • Zhangxin Chen
    The Analysis of Intergrid Transfer Operators and Nonconforming Multigrid Methods
        Abstract    Paper
  • Nicholas Coult
    Multiresolution Reduction of Elliptic PDE's and Eigenvalue Problems
  • Wenlong Dai
    Iterative Schemes for Nonlinear Heat Transfer in Systems of Multi-materials
  • Joel Dendy
    Some Applications of Black Box Multigrid to Systems
        Abstract    Paper
  • Boris Diskin
    Multigrid Algorithm with Conditional Coarsening for the Non-aligned Sonic Flow
        Abstract    Paper
  • Craig C. Douglas
    Cache Based Multigrid Algorithms
        Abstract    Paper
  • Laura C. Dutto, Wagdi G. Habashi, and Michel Fortin
    An Algebraic Multilevel Parallelizable Preconditioner for Large-Scale Computations
        Abstract    Paper
  • Jonathan Dym and Achi Brandt
    Multilevel Inversion of the Radon Transform
  • Robert L. Falgout and Van Emden Henson
    Towards a Fully-Parallelizable Algebraic Multigrid
  • Paul A. Farrell
    Multigrid Methods for the Solution of Singularly Perturbed Differential Equations
  • Scott R. Fulton
    A Comparison of Multilevel Adaptive Methods for Hurricane Track Prediction
  • David Gines
    A Wavelet-based Direct Multilevel Solver
        Abstract    Paper
  • Michael Griebel
    An Adaptive Multilevel Method for Sparse Grid Finite Difference Discretizations
  • Ralf Hiptmair
    Multigrid Method for H(div) in Three Dimensions
  • Jim E. Jones and N. Duane Melson
    A Note on Multi-block Relaxation Schemes for Multigrid Solvers
        Abstract    Paper
  • Sang Dong Kim
    A FOSLS Approach for Three-Dimensional Pure Traction Linear Elasticity
  • D.A. Knoll and W.J. Rider
    Multigrid Preconditioning of Newton-Krylov Methods
  • Jules Kouatchou
    Asymptotic Stability of 9-Point Multigrid for Convection-Diffusion
        Abstract    Paper
  • Andrew Knyazev
    Uniform Wellposedness of a Mixed Formulation of Symmetric Problems
  • Marc Küther
    Exponentially Fitted Hierarchical Bases Multigrid for Convection Diffusion
        Abstract    Paper
  • R. Kulke
    Multigrid for the Laplace Equation in 2D-Electrostatic Structures
        Abstract    Paper
  • W. J. Layton, A. J. Meir, and P. G. Schmidt
    A Two-Level Discretization Method for the MHD Equations
        Abstract    Paper
  • Barry Lee
    First-Order System Least-Squares: Numerical Experiments
  • Ira Livshits
    Multigrid Methods for Standing Wave Equations
  • Rudolph Lorentz
    Computationally Efficient Wavelets in Sobolev Spaces
  • Sachit Malhotra, Craig C. Douglas, and Martin H. Schultz
    Accelerating ADI on Parallel Processors including Multigrid with an ADI Smoother
  • Serguei Maliassov
    Multilevel Fictitious Space Preconditioner for Nonconforming Unstructured Grids
        Abstract    Extended abstract
  • Tom Manteuffel
    First-Order System Least Squares (FOSLS) for PDEs: Part I
        Abstract    Relevant papers
  • Dimitri J. Mavriplis
    Directional Coarsening and Smoothing for Anisotropic Navier-Stokes Problems
        Abstract    Extended abstract
  • Steve McCormick
    First-Order System Least Squares (FOSLS) for PDEs: Part II
        Abstract    Relevant papers
  • Steven M. McKay
    Solution of a Convolution Equation with Unbounded Domain via Multigrid
  • William F. Mitchell
    A Parallel Adaptive Multilevel Method Using the Full Domain Partition
        Abstract    Extended abstract    Paper
  • Hubertus Oswald
    Parallel Multilevel Algorithms for Incompressible Navier-Stokes
        Abstract    Paper
  • Joseph Pasciak
    Inexact Uzawa Algorithms for Nonsymmetric Saddle Point Problems
  • Ulrich Rüde
    On the Efficient Implementation of Adaptive Multigrid Methods
  • John Ruge
    Recent Developments in Algebraic Multigrid Methods
  • Mazen Saad and Huilong Zhang
    Object Oriented Programming and FAC in Numerical Reservoir Simulation
        Abstract    Paper
  • Marcus Sarkis
    Overlapping Non-matching Grids Mortar Element Methods for Elliptic Problems
  • Yair Shapira
    Multigrid for Locally Refined Meshes
        Abstract    Paper
  • William Spotz
    Stable Multigrid for Convection-Diffusion Using High Order Compact Discretization
  • Gerhard Starke
    Multilevel Methods for Exponential Spline Discretizations of Convection Diffusion
  • Erik Sterner
    A Multigrid Smoother for High Reynolds Number Flows
        Abstract    Paper
  • Clemens-August Thole and Alexander Supalov
    Fast Solution of MSC/Nastran Sparse Matrix Problems Via a Multilevel Approach
        Abstract    Paper
  • Steve Thomas and Piotr Smolarkiewicz
    GCR(k)-Multigrid for the Anelastic Equations of Atmospheric Flow
  • Xavier Vasseur
    FMG-FAS for the Navier-Stokes Equations on Cell-Centered Colocated Grids
        Abstract    Paper
  • Panayot Vassilevksi and Gordon Wade
    A Comparison of Multilevel Methods for Total Variation Regularization
        Abstract    Paper
  • Wing-Lok Wan
    An Energy-Minimizing Interpolation for Multigrid Methods
        Abstract    Paper
  • Takumi Washio and C. W. Oosterlee
    Krylov Subspace Acceleration Method for Nonlinear Multigrid Schemes
        Abstract    Paper
  • Kristian Witsch
    Multilevel Evaluation of Point Forces
  • Dexuan Xie and L. Ridgway Scott
    Parallel U-Cycle Multigrid Method
        Abstract    Paper
  • Irad Yavneh
    Stranger Than Fiction: On Smoothing Symmetric Nine-point Operators
        Abstract    Paper    Figures:    1    2    3    4
  • Leonid Y. Zaslavsky and Tamar Schlick
    Adaptive Multigrid for Evaluating Long-range Forces in Biomolecular Simulations
  • Xuejun Zhang
    A Multigrid Analysis for an Anisotropic Problem

Conference Chairmen

  • Tom Manteuffel, University of Colorado at Boulder
  • Steve McCormick, University of Colorado at Boulder

Program Committee

  • Joel Dendy, Los Alamos National Laboratory
  • Van Henson, Naval Postgraduate School
  • Jim Jones, ICASE
  • Kirk Jordan, IBM
  • Jan Mandel, University of Colorado at Denver
  • Duane Melson, NASA Langley
  • Seymour Parter, University of Wisconsin
  • Joseph Pasciak, Texas A&M
  • John Ruge, University of Colorado at Denver
  • Klaus Stüben, Gesellschaft f. Math. u. Datenverarbeitung
  • Ulrich Trottenberg, Gesellschaft f. Math. u. Datenverarbeitung
  • Pieter Wesseling, Delft University
  • Olof Widlund, Courant Institute
  • Irad Yavneh, Technion

Workshop Chairman

  • Paul Frederickson, Math Cube Associates, Inc.

Circus Chairman

  • Craig Douglas, University of Kentucky/Yale University

Craig C. Douglas

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