R. Bank, S. Gutsch: The generalized hierarchical basis two- level method for the convection-diffusion equation on a regular grid A. Brandt, C.H. Venner: Multilevel evaluation of integral transforms on adaptive grids H.-J. Bungartz, TH. Dornseifer: Sparse Grids: Recent Developments for Elliptic Partial Differential Equations P. Deuflhard, M. Weiser: Global Inexact Newton Multilevel FEM for Nonlinear Elliptic Problems Th. Gjesdal: Accuracy and Convergence of Defect Corrections in an Incompressible Multigrid Solver Based on Pressure Correction Smoothers P.W. Hemker, B. Koren, J. Noordmans: 3D Multigrid on Partially Ordered Sets of Grids M. Jung: Parallel Multi-level Solvers for Elliptic Boundary Value Problems in Three-Dimensional Domains B.N. Khoromskij, G. Wittum: Robust Interface Reduction for Highly Anisotropic Elliptic Equations F. Kickinger: Algebraic Multigrid for Discrete Elliptic Second-Order Problems R. Kornhuber: On Robust Multigrid Methods for Non-Smooth Variational Problems A. Krechel, K. Stueben: Operator Dependent Interpolation in Algebraic Multigrid K. Oosterlee, F.J. Gaspar, T. Washio, R. Wienands: Fast multigrid solvers for higher order upwind discretizations of convection-dominated problems J. Piquet, X. Vasseur: Comparisons between Preconditioned BICGSTAB and a Multigrid Method for the Resolution of the Pressure Equation in a Navier-Stokes Solver A. Reusken: Approximate cyclic reduction preconditioning J. Schöberl: Robust Multigrid Preconditioning for Parameter- Dependent Problems I: The Stokes-type Case V. Schulz, G. Wittum: Multigrid Optimization Methods for Stationary Parameter Identification Problems in Groundwater Flow J. Steelant, E. Dick, S. Pattijn: Analysis of Multigrid Efficiency for Viscous Low Mach Number Flows R. Stevenson: Pieceweise linear (pre-)wavelets on non-uniform meshes Chr. Wagner, G. Wittum: Filtering Decompositions with Respect to Adaptive Test Vectors
This volume contains a selection from the papers presented at the Fifth European Multigrid Conference, held in Stuttgart, October 1996. All contributions were carefully refereed. The conference was organized by the Institute for Computer Applications (ICA) of the University of Stuttgart, in cooperation with the GAMM Committee for Scientific Computing, SFB 359 and 404 and the reserach network WiR Ba-Wü. The list of topics contained lectures on Multigrid Methods: robustness, adaptivity, wavelets, parallelization, application in computational fluid dynamics, porous media flow, optimisation and computational mechanics. A considerable part of the talks focused on algebraic multigrid methods.
The Generalized Hierarchical Basis Two-Level Method for the Convection-Diffusion Equation on a Regular Grid.- Multilevel Evaluation of Integral Transforms on Adaptive Grids.- Sparse Grids: Recent Developments for Elliptic Partial Differential Equations.- Global Inexact Newton Multilevel FEM for Nonlinear Elliptic Problems.- Accuracy and Convergence of Defect Correction in an Incompressible Multigrid Solver Based on Pressure Correction Smoothers.- 3D Multigrid on Partially Ordered Sets of Grids.- Parallel Multi-level Solvers for Elliptic Boundary Value Problems in Three-Dimensional Domains.- Robust Interface Reduction for Highly Anisotropic Elliptic Equations.- Algebraic Multigrid for Discrete Elliptic Second-Order Problems.- On Robust Multigrid Methods for Non-smooth Variational Problems.- Operator Dependent Interpolation in Algebraic Multigrid.- Fast Multigrid Solvers for Higher Order Upwind Discretizations of Convection-Dominated Problems.- Comparisons Between Preconditioned BICGSTAB and a Multigrid Method for the Resolution of the Pressure Equation in a Navier-Stokes Solver.- Approximate Cyclic Reduction Preconditioning.- Robust Multigrid Preconditioning for Parameter-Dependent Problems I: The Stokes-Type Case.- Multigrid Optimization Methods for Stationary Parameter Identification Problems in Groundwater Flow.- Analysis of Multigrid Efficiency for Viscous Low Mach Number Flows.- Piecewise Linear (Pre-)wavelets on Non-uniform Meshes.- Filtering Decompositions with Respect to Adaptive Test Vectors.
Inhaltsverzeichnis
R. Bank, S. Gutsch: The generalized hierarchical basis two- level method for the convection-diffusion equation on a regular grid A. Brandt, C.H. Venner: Multilevel evaluation of integral transforms on adaptive grids H.-J. Bungartz, TH. Dornseifer: Sparse Grids: Recent Developments for Elliptic Partial Differential Equations P. Deuflhard, M. Weiser: Global Inexact Newton Multilevel FEM for Nonlinear Elliptic Problems Th. Gjesdal: Accuracy and Convergence of Defect Corrections in an Incompressible Multigrid Solver Based on Pressure Correction Smoothers P.W. Hemker, B. Koren, J. Noordmans: 3D Multigrid on Partially Ordered Sets of Grids M. Jung: Parallel Multi-level Solvers for Elliptic Boundary Value Problems in Three-Dimensional Domains B.N. Khoromskij, G. Wittum: Robust Interface Reduction for Highly Anisotropic Elliptic Equations F. Kickinger: Algebraic Multigrid for Discrete Elliptic Second-Order Problems R. Kornhuber: On Robust Multigrid Methods for Non-Smooth Variational Problems A. Krechel, K. Stueben: Operator Dependent Interpolation in Algebraic Multigrid K. Oosterlee, F.J. Gaspar, T. Washio, R. Wienands: Fast multigrid solvers for higher order upwind discretizations of convection-dominated problems J. Piquet, X. Vasseur: Comparisons between Preconditioned BICGSTAB and a Multigrid Method for the Resolution of the Pressure Equation in a Navier-Stokes Solver A. Reusken: Approximate cyclic reduction preconditioning J. Schöberl: Robust Multigrid Preconditioning for Parameter- Dependent Problems I: The Stokes-type Case V. Schulz, G. Wittum: Multigrid Optimization Methods for Stationary Parameter Identification Problems in Groundwater Flow J. Steelant, E. Dick, S. Pattijn: Analysis of Multigrid Efficiency for Viscous Low Mach Number Flows R. Stevenson: Pieceweise linear (pre-)wavelets on non-uniform meshes Chr. Wagner, G. Wittum: Filtering Decompositions with Respect to Adaptive Test Vectors
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