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## Multilevel Block Factorization Preconditioners: Matrix-based Analysis and Algorithms for Solving Finite Element Equations (Hardback)"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." — From the back cover ## $54.95 |

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Please contact us if you've got questions about this product.## Condition

**LIKE NEW:** This book is in excellent, like-new condition. It was printed on acid-free paper.

## Description

From the back cover: “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.

“The 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.”

**BRIEF CONTENTS**

- Preface
- Part I. Motivation for Preconditioning
- A Finite Element Tutorial
- A Main Goal
- Part II. 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 Interative Methods
- Preconditioning Nonlinear Problems
- Quadratic Constrained Minimization Problems
- Part III. Appendices
- Generalized Conjugate Gradient Methods
- Properties of Finite Element Matrices, Further Details
- Computable Scales of Sobolev Norms
- Multilevel Algorithms for Boundary Extension Mappings
- H
_{0}^{1}-norm Characterization - MG Convergence Results for Finite Element Problems
- Some Auxiliary Inequalities
- References
- Index

## Details

- SKU:
- 2234
- Author:
- Vassilevski, Panayot S.
- Publisher:
- Springer
- Publish Date:
- 2008 (First Printing)
- Format:
- Hardback
- Weight (pounds):
- 1.92
- Dimensions (W”xL”xH”):
- 6.35″x9.5″x1.1″
- ISBN-13:
- 9780387715636
- ISBN-10:
- 0387715630

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