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Multilevel Block Factorization Preconditioners
Details
This monograph is the first to provide a comprehensive, self-contained and rigorous presentation of some of the most powerful preconditioning methods for solving finite element equations in a common block-matrix factorization framework.
Uses block-matrix factorization to represent important developments in the field such as the algebraic multi-grid and domain decomposition methods Rigorous and self-contained presentation Includes four useful appendices Excellent reference for practitioners and researchers Includes supplementary material: sn.pub/extras
Inhalt
Motivation for Preconditioning.- A Finite Element Tutorial.- A Main Goal.- Block Factorization Preconditioners.- Two-by-Two Block Matrices and Their Factorization.- Classical Examples of Block-Factorizations.- Multigrid (MG).- Topics on Algebraic Multigrid (AMG).- Domain Decomposition (DD) Methods.- Preconditioning Nonsymmetric and Indefinite Matrices.- Preconditioning Saddle-Point Matrices.- Variable-Step Iterative Methods.- Preconditioning Nonlinear Problems.- Quadratic Constrained Minimization Problems.
Weitere Informationen
- Allgemeine Informationen
- Sprache Englisch
- Anzahl Seiten 544
- Herausgeber Springer New York
- Gewicht 975g
- Untertitel Matrix-based Analysis and Algorithms for Solving Finite Element Equations
- Autor Panayot S. Vassilevski
- Titel Multilevel Block Factorization Preconditioners
- Veröffentlichung 12.08.2008
- ISBN 0387715630
- Format Fester Einband
- EAN 9780387715636
- Jahr 2008
- Größe H241mm x B160mm x T35mm
- Lesemotiv Verstehen
- Auflage 2008
- GTIN 09780387715636