Domain Decomposition Methods - Algorithms and Theory
Published on 18. October 2004
Book
Hardback
XV, 450 pages
978-3-540-20696-5 (ISBN)
Description
The purpose of this text is to offer a comprehensive and self-contained presentation of some of the most successful and popular domain decomposition preconditioners for finite and spectral element approximations of partial differential equations. Strong emphasis is placed on both algorithmic and mathematical aspects. Some important methods such as FETI and balancing Neumann-Neumann methods and algorithms for spectral element methods, not treated previously in any monograph, are covered in detail. It is the Winner of the 2005 Award for Excellence in Professional and Scholarly Publishing - Mathematics/Statistics - of the Association of American Publishers.
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
2005 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
XV, 450 p.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 34 mm
Weight
949 gr
ISBN-13
978-3-540-20696-5 (9783540206965)
DOI
10.1007/b137868
Schweitzer Classification
Other editions
Additional editions
Andrea Toselli | Olof Widlund
Domain Decomposition Methods - Algorithms and Theory
Book
10/2010
Springer
€139.09
Shipment within 7-9 days
Andrea Toselli | Olof Widlund
Domain Decomposition Methods - Algorithms and Theory
Algorithms and Theory
E-Book
06/2006
1st Edition
Springer
€128.39
Available for download
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.