Verkauf durch Sack Fachmedien

McCormick

Multilevel Projection Methods for Partial Differential Equations

Medium: Buch
ISBN: 978-0-89871-292-6
Verlag: Society for Industrial & Applied Mathematics,U.S.
Erscheinungstermin: 01.01.1987
Lieferfrist: bis zu 10 Tage

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.


Produkteigenschaften


  • Artikelnummer: 9780898712926
  • Medium: Buch
  • ISBN: 978-0-89871-292-6
  • Verlag: Society for Industrial & Applied Mathematics,U.S.
  • Erscheinungstermin: 01.01.1987
  • Sprache(n): Englisch
  • Auflage: Erscheinungsjahr 1987
  • Serie: CBMS-NSF Regional Conference Series in Applied Mathematics
  • Produktform: Kartoniert
  • Gewicht: 232 g
  • Seiten: 120
  • Format (B x H x T): 152 x 229 x 11 mm
  • Ausgabetyp: Kein, Unbekannt
Autoren/Hrsg.

Autoren

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.