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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.




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-W?. 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.


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-W?. 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.
Content:
Front Matter....Pages I-VIII
The Generalized Hierarchical Basis Two-Level Method for the Convection-Diffusion Equation on a Regular Grid....Pages 1-20
Multilevel Evaluation of Integral Transforms on Adaptive Grids....Pages 21-44
Sparse Grids: Recent Developments for Elliptic Partial Differential Equations....Pages 45-70
Global Inexact Newton Multilevel FEM for Nonlinear Elliptic Problems....Pages 71-89
Accuracy and Convergence of Defect Correction in an Incompressible Multigrid Solver Based on Pressure Correction Smoothers....Pages 90-104
3D Multigrid on Partially Ordered Sets of Grids....Pages 105-124
Parallel Multi-level Solvers for Elliptic Boundary Value Problems in Three-Dimensional Domains....Pages 125-139
Robust Interface Reduction for Highly Anisotropic Elliptic Equations....Pages 140-156
Algebraic Multi-grid for Discrete Elliptic Second-Order Problems....Pages 157-172
On Robust Multigrid Methods for Non-Smooth Variational Problems....Pages 173-188
Operator Dependent Interpolation in Algebraic Multigrid....Pages 189-211
Fast Multigrid Solvers for Higher Order Upwind Discretizations of Convection-Dominated Problems....Pages 212-224
Comparisons Between Preconditioned BICGSTAB and a Multigrid Method for the Resolution of the Pressure Equation in a Navier-Stokes Solver....Pages 225-242
Approximate Cyclic Reduction Preconditioning....Pages 243-259
Robust Multigrid Preconditioning for Parameter-Dependent Problems I: The Stokes-Type Case....Pages 260-275
Multigrid Optimization Methods for Stationary Parameter Identification Problems in Groundwater Flow....Pages 276-288
Analysis of Multigrid Efficiency for Viscous Low Mach Number Flows....Pages 289-305
Piecewise Linear (Pre-)wavelets on Non-uniform Meshes....Pages 306-319
Filtering Decompositions with Respect to Adaptive Test Vectors....Pages 320-334
Back Matter....Pages 335-336


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-W?. 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.
Content:
Front Matter....Pages I-VIII
The Generalized Hierarchical Basis Two-Level Method for the Convection-Diffusion Equation on a Regular Grid....Pages 1-20
Multilevel Evaluation of Integral Transforms on Adaptive Grids....Pages 21-44
Sparse Grids: Recent Developments for Elliptic Partial Differential Equations....Pages 45-70
Global Inexact Newton Multilevel FEM for Nonlinear Elliptic Problems....Pages 71-89
Accuracy and Convergence of Defect Correction in an Incompressible Multigrid Solver Based on Pressure Correction Smoothers....Pages 90-104
3D Multigrid on Partially Ordered Sets of Grids....Pages 105-124
Parallel Multi-level Solvers for Elliptic Boundary Value Problems in Three-Dimensional Domains....Pages 125-139
Robust Interface Reduction for Highly Anisotropic Elliptic Equations....Pages 140-156
Algebraic Multi-grid for Discrete Elliptic Second-Order Problems....Pages 157-172
On Robust Multigrid Methods for Non-Smooth Variational Problems....Pages 173-188
Operator Dependent Interpolation in Algebraic Multigrid....Pages 189-211
Fast Multigrid Solvers for Higher Order Upwind Discretizations of Convection-Dominated Problems....Pages 212-224
Comparisons Between Preconditioned BICGSTAB and a Multigrid Method for the Resolution of the Pressure Equation in a Navier-Stokes Solver....Pages 225-242
Approximate Cyclic Reduction Preconditioning....Pages 243-259
Robust Multigrid Preconditioning for Parameter-Dependent Problems I: The Stokes-Type Case....Pages 260-275
Multigrid Optimization Methods for Stationary Parameter Identification Problems in Groundwater Flow....Pages 276-288
Analysis of Multigrid Efficiency for Viscous Low Mach Number Flows....Pages 289-305
Piecewise Linear (Pre-)wavelets on Non-uniform Meshes....Pages 306-319
Filtering Decompositions with Respect to Adaptive Test Vectors....Pages 320-334
Back Matter....Pages 335-336
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