Multilevel Block Factorization Preconditioners

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.