Umfang:
1 Online-Ressource (vi, 114 Seiten)
ISBN:
0898712920
,
9780898712926
Serie:
CBMS-NSF regional conference series in applied mathematics 62
Anmerkung:
Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader
,
Includes bibliographical references and index
,
Chapter 1. Fundamentals. Introduction; Notation and conventions; Prototype problems; Discretization by projections; Realizability and nodal representations; Interlevel transfer matrices; Error measures -- Chapter 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 -- Chapter 3. Unigrid. Basic Unigrid scheme; Multgrid simulation; FAC simulation; Performance assessment; Caveats -- Chapter 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 -- Chapter 5. Perspectives -- References -- Appendix A. Simple Unigrid code -- Appendix B. More efficient Unigrid code -- Appendix C. Modification to Unigrid code for local refinement
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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
Weitere Ausg.:
Erscheint auch als Druck-Ausgabe, Paperback ISBN 0898712920
Weitere Ausg.:
Erscheint auch als Druck-Ausgabe, Paperback ISBN 9780898712926
Sprache:
Englisch
Fachgebiete:
Mathematik
Schlagwort(e):
Mehrgitterverfahren
;
Partielle Differentialgleichung
;
Numerisches Verfahren
DOI:
10.1137/1.9781611970098
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