AHA-BUCH

Domain Decomposition Methods - Algorithms and Theory
-17 %
Der Artikel wird am Ende des Bestellprozesses zum Download zur Verfügung gestellt.

Domain Decomposition Methods - Algorithms and Theory

 Ebook
Sofort lieferbar | Lieferzeit:3-5 Tage I

Unser bisheriger Preis:ORGPRICE: 124,95 €

Jetzt 103,52 €*

ISBN-13:
9783540266624
Einband:
Ebook
Erscheinungsdatum:
18.10.2004
Seiten:
450
Autor:
Andrea Toselli
Serie:
34, Springer Series in Computational Mathematics
eBook Typ:
PDF
eBook Format:
PDF
Kopierschutz:
1 - PDF Watermark
Sprache:
Englisch
Beschreibung:

"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 FETI and balancing Neumann-Neumann methods and algorithms for spectral element methods, not treated previously in any monograph, are covered in detail.Winner of the 2005 Award for Excellence in Professional and Scholarly Publishing - Mathematics/Statistics - of the Association of American Publishers"
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.
The purpose of this text is to offer a comprehensive and self-contained pre­ sentation of some of the most successful and popular domain decomposition methods for partial differential equations. Strong emphasis is put on both al­ gorithmic and mathematical aspects. In addition, we have wished to present a number of methods that have not been treated previously in other mono­ graphs and surveys. We believe that this monograph will offer something new and that it will complement those of Smith, Bj0rstad, and Gropp [424] and Quarteroni and Valli [392]. Our monograph is also more extensive and broader than the surveys given in Chan and Mathew [132], Farhat and Roux [201], Le Tallec [308], the habilitation thesis by Wohlmuth [469], and the well-known SIAM Review articles by Xu [472] and Xu and Zou [476]. Domain decomposition generally refers to the splitting of a partial differen­ tial equation, or an approximation thereof, into coupled problems on smaller subdomains forming a partition of the original domain. This decomposition may enter at the continuous level, where different physical models may be used in different regions, or at the discretization level, where it may be con­ venient to employ different approximation methods in different regions, or in the solution of the algebraic systems arising from the approximation of the partial differential equation. These three aspects are very often interconnected in practice. This monograph is entirely devoted to the third aspect of domain decompo­ sition.