Multilevel Block Factorization Preconditioners : Matrix-based Analysis and Algorithms for Solving Finite Element Equations
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. Topics covered include the classical incomplete block-factoriza...
Uloženo v:
| Hlavní autor: | |
|---|---|
| Médium: | Livre numérique |
| Jazyk: | Anglais |
| Vydáno: |
New York, NY :
Springer New York
2008.
Cham : Springer Nature |
| Témata: | |
| On-line přístup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Poznámka: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Multilevel block factorization preconditioners, matrix-based analysis and algorithms for solving finite element equations, Panayot S. Vassilevski, New York, Springer, 2008, 1 vol. (XIV-529 p.), 978-0-387-71563-6 • Multilevel Block Factorization Preconditioners, Texte imprimé, 9780387565613 • Multilevel Block Factorization Preconditioners, Texte imprimé, 9781441924483 |
Obsah:
- 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.