Multilevel Block Factorization Preconditioners: Matrix-based Analysis and Algorithms for Solving Finite Element Equations

By Panayot S. Vassilevski

Book Overview

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.

• Format: Paperback
• Language: English
• ISBN: 1441924485
• ISBN13: 9781441924483
• Release Date: October 2010
• Publisher: Springer
• Length: 530 Pages
• Weight: 1.66 lbs.
• Dimensions: 1.1" x 6.1" x 9.2"