Stephen F. McCormick,
Stephen F. Mccormick
Society for Industrial and Applied Mathematics
e druk, 1987
9780898712926
Multilevel Projection Methods for Partial Differential Equations
Specificaties
Paperback, 120 blz.
|
Engels
Society for Industrial and Applied Mathematics |
e druk, 1987
ISBN13: 9780898712926
Rubricering
Onderdeel van serie
CBMS-NSF Regional Co
Levertijd ongeveer 8 werkdagen
Samenvatting
The multilevel projection method is a new formalism that provides a framework for the development of multilevel algorithms in a very general setting. This methodology guides the choices of all the major multilevel processes, including relaxation and coarsening, and it applies directly to global or locally-refined discretizations. This book was developed from lectures at the CBMS-NSF Regional Conference on Multigrid and Multilevel Adaptive Methods for Partial Differential Equations in June 1991, and is a supplement to Multilevel Adaptive Methods for Partial Differential Equations, also written by Stephen F. McCormick.
Specificaties
ISBN13:9780898712926
Taal:Engels
Bindwijze:Paperback
Aantal pagina's:120
Uitgever:Society for Industrial and Applied Mathematics
Serie:CBMS-NSF Regional Co
Inhoudsopgave
1. Fundamentals. Introduction; Notation and Conventions; Prototype Problems; Discretization by Projections; Realizability and Nodal Representations; Interlevel Transfer Matrices; Error Measures; 2. Multilevel Projections Methods. Abstract Framework. The Multilevel Projection Method (PML); The Multigrid Method (MG); the Fast Adaptive Composite Grid Method (FAC); Prototype Problems; Relaxation; Coarse-Level Realizability and Recursiveness; Parallelization: Asynchronous FAC (AFAC); Other Practical Matters; Summary; 3. Unigrid. Basic Unigrid Scheme; Multgrid Simulation; FAC Simulation; Performance Assessment; Caveats; 4. Paradigms. Rayleigh-Ritz 1: Parameter Estimation; Rayleigh-Ritz 2: Transport Equations: Galerkin 1. General Eigenvalue Problems; Galerkin 2: Riccati Equations; Petrov-Galerkin 1: The Finite Volume Element Method (FVE); Petrov-Galerkin 2: Image Reconstruction; 5. Perspectives. References; Appendix A. Simple Unigrid Code; Appendix B. More Efficient Unigrid Code; Appendix C. Modification to Unigrid Code for Local Refinement.