Domain Decomposition Methods - Algorithms and Theory
Published on 19. October 2010
Book
Paperback/Softback
XV, 450 pages
978-3-642-05848-6 (ISBN)
Description
This book offers a comprehensive presentation of some of the most successful and popular domain decomposition preconditioners for finite and spectral element approximations of partial differential equations. It places strong emphasis on both algorithmic and mathematical aspects. It covers in detail important methods such as FETI and balancing Neumann-Neumann methods and algorithms for spectral element methods.
Reviews / Votes
From the reviews of the first edition:
"This book unifies the results from a number of papers by the authors and their coworkers over the past two decades, and complements them by new insights and some background. The distinguishing feature of this book is a comprehensive and rigorous treatment of convergence bounds based on the theory of infinite elements. . The bibliography is quite complete for the fields covered . . The book belongs on the desk of all specialists involved in domain decomposition and substructuring . ." (Jan Mandel, Zentralblatt MATH, Vol. 1069, 2005)
More details
Series
Edition
Softcover reprint of hardcover 1st ed. 2005
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
XV, 450 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 29 mm
Weight
789 gr
ISBN-13
978-3-642-05848-6 (9783642058486)
DOI
10.1007/b137868
Schweitzer Classification
Other editions
Additional editions
Andrea Toselli | Olof Widlund
Domain Decomposition Methods - Algorithms and Theory
Book
10/2004
Springer
€139.09
Shipment within 10-15 days
Content
Abstract Theory of Schwarz Methods.- Two-Level Overlapping Methods.- Substructuring Methods: Introduction.- Primal Iterative Substructuring Methods.- Neumann-Neumann and FETI Methods.- Spectral Element Methods.- Linear Elasticity.- Preconditioners for Saddle Point Problems.- Problems in H (div ; ?) and H (curl ; ?).- Indefinite and Nonsymmetric Problems.- Elliptic Problems and Sobolev Spaces.- Galerkin Approximations.- Solution of Algebraic Linear Systems.