ENGLISH

Multilevel block factorization preconditioners: matrix-based analysis and algorithms for solving finite element equations

By Panayot S. Vassilevski (auth.)

Book information

Publisher
Springer-Verlag New York
Year
2008
ISBN
0387715649, 0387715630, 9780387715643, 9780387715636
DOI
10.1007/978-0-387-71564-3
LCC
QC20.7.F56 V37 2008
Open Library ID
OL22997099M
Language
english
Format
PDF
Filesize
4 MB (3836113 bytes)
Edition
1
Pages
530\524
Time added
2009-08-06 05:14:26
Linear and Multilinear AlgebrasMatrix Theory; Partial Differential Equations; Com

Description

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-factorization preconditioners and the most efficient methods such as the multigrid, algebraic multigrid, and domain decomposition. Additionally, the author discusses preconditioning of saddle-point, nonsymmetric and indefinite problems, as well as preconditioning of certain nonlinear and quadratic constrained minimization problems that typically arise in contact mechanics. The book presents analytical as well as algorithmic aspects. This text can serve as an indispensable reference for researchers, graduate students, and practitioners. It can also be used as a supplementary text for a topics course in preconditioning and/or multigrid methods at the graduate level.

Similar books