Domain Decomposition Methods - Algorithms and Theory

AvAndrea Toselli,Olof Widlund

Inbunden, Engelska, 2004

Del 34 i serien Springer Series in Computational Mathematics

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2004-10-18
Mått:155 x 235 x 34 mm
Vikt:949 g
Format:Inbunden
Språk:Engelska
Serie:Springer Series in Computational Mathematics
Antal sidor:450
Upplaga:2005
Förlag:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN:9783540206965

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Beräkning och matematisk analys inom Naturvetenskap och teknik

Recensioner i media

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)

Innehållsförteckning

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.