Multilevel Projection Methods for Partial Differential Equations - Brossura

McCormick, Stephen F.

Brossura

ISBN 10: 0898712920 ISBN 13: 9780898712926

Casa editrice: Society for Industrial and Applied Mathematics, 1992

Riassunto

Developed from lectures at the CBMS-NSF Regional Conference on Multigrid and Multilevel Adaptive Methods for Partial Differential Equations.

Su questo libro

Contenuti

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.

Product Description

Book by McCormick Stephen F

Dettagli dell'edizione

• Editore: Society for Industrial and Applied Mathematics
• Data di pubblicazione: 1992
• Lingua: Inglese
• ISBN 10: 0898712920
• ISBN 13: 9780898712926
• Rilegatura: Copertina flessibile
• Numero di pagine: 120
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile