Del 34 - Springer Series in Computational Mathematics

Domain Decomposition Methods - Algorithms and Theory

Inbunden, Engelska, 2004

Av Andrea Toselli, Olof Widlund

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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

Utgivningsdatum2004-10-18
Mått155 x 235 x 34 mm
Vikt949 g
FormatInbunden
SpråkEngelska
SerieSpringer Series in Computational Mathematics
Antal sidor450
Upplaga2005
FörlagSpringer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN9783540206965

Tillhör följande kategorier

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.

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)