multigrid methods : theory, applications, and supercomputing book cover
1st Edition

multigrid methods
theory, applications, and supercomputing

ISBN 9781003066057
Published August 11, 2020 by CRC Press
672 Pages

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Book Description

This book is a collection of research papers on a wide variety of multigrid topics, including applications, computation and theory. It represents proceedings of the Third Copper Mountain Conference on Multigrid Methods, which was held at Copper Mountain, Colorado.

Table of Contents

1. Multigrid Acceleration of a 2D Full Potential Flow Solver 2. Fast Pseudo-Inverse Algorithms on Hypercubes 3. Multilevel Computations: Review and Recent Developments 4. Multigrid Methods on a Hypercube 5. The Multigrid Method for Fermion Calculations in Quantum Chromodynamics 6. Design and Implementation of Parallel Multigrid Algorithms 7. The Fourier Analysis of a Multigrid Preconditioner 8. On the Role of Regularity in Multigrid Methods 9. A Multigrid Method for Steady Incompressible Navier-Stokes Equations Based on Flux-Vector Splitting 10. Some Nontelescoping Parallel Algorithms Based on Serial Multigrid/Aggregation/ Disaggregation Techniques 11. Spectral Multigrid Methods for the Solution of Homogeneous Turbulence Problems 12. Parallel Superconvergent Multigrid 13. Multiblock Multigrid Solution of the Implicit Time Advance Equations for Magnetic Resistive Diffusion in Geometrically Complex Regions 14. Multigrid Localization and Multigrid Grid Generation for the Computation of Vortex Structures and Dynamics of Flows in Cavities and About Airfoils 15. Applications of the Fast Adaptive Composite Grid Method 16. Multigrid Methods for the Two-Phase Stefan Problem 17. Experimental Results for Multigrid and Transport Problems 18. Solution of the Steady Euler Equations by a Multigrid Method 19. A Multigrid Finite Element Method for Solving the Two-Dimensional Euler Equations 20. Multigrid, Elliptic Grid Generation and the Fast Adaptive Composite Grid Method for Solving Transonic Potential Flow Equations 21. Fourier Estimates for a Multigrid Method for Three-Dimensional Elasticity 22. Multigrid Solution of the Euler Equations on Unstructured and Adaptive Meshes 23. Multigrid Acceleration of the Isenthalpic Form of the Compressible Flow Equations 24. Parallelization of Multigrid Methods with Local Refinements for a Class of Nonshared Memory Systems 25. Analysis of a Multigrid Method for the Euler Equations of Gas Dynamics in Two Dimensions 26. On Multigrid Methods for the Navier-Stokes Computer 27. On the Accurate Computation of Singular Solutions of Laplace's and Poisson's Equation 28. A Multigrid Approach for Elasticity Problems on "Thin" Domains 29. A Multigrid-Relaxation Scheme for the Navier-Stokes Equations 30. The Simple Pressure-Correction Method as a Nonlinear Smoother 31. Multigrid Methods for Calculation of Electromagnets and Their Implementation on MIMD Computers 32. Application of a Multigrid Method to a Buoyancy-Induced Flow Problem 33. Cell-Centered Multigrid for Interface Problems

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Stephen F. McCormick (Author)