Title: Some Schwarz Methods for Symmetric and Nonsymmetric Elliptic Problems, Vol 255 Classic Reprint
Publisher: Forgotten Books
Publication Date: 2018
Language: English
ISBN 10: 133219785X
ISBN 13: 9781332197859
Binding: PAP
Condition: New
Weight: 100 grams

About this title

Synopsis

Discover a rigorous, accessible guide to Schwarz methods for elliptic problems

This book presents additive and multiplicative Schwarz algorithms, including two-level and multi-level approaches, to solve symmetric, nonsymmetric, and indefinite problems. It explains how coarse models, overlapping subregions, and local solves interact to improve convergence, with practical insights on communication and parallelization.

Readers will find a clear development from theory to application. The text covers how projection operators and residuals are used to form efficient solvers, the role of coarse spaces, and the impact of overlap on convergence. It also discusses extending these ideas to multilevel schemes and to nonsymmetric cases where GMRES or related methods are used.

Foundations of Schwarz methods for Poisson-type operators and discrete finite element settings
How to design two-level and multi-level decompositions with global information transport
Conditions that ensure convergence and how coarse models influence performance
Extensions to nonsymmetric and indefinite elliptic problems with practical GMRES guidance

Ideal for researchers and practitioners in numerical analysis and scientific computing who seek a deeper understanding of domain decomposition preconditioners and their performance on modern architectures.

[END]

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