Domain Decomposition Methods - Algorithms and Theory [electronic resource] /
Toselli, Andrea.author.
Widlund, Olof.author.
Offers a comprehensive presentation of some of the successful domain decomposition preconditioners for finite and spectral element approximations of partial differential equations. This book places strong emphasis on both algorithmic and mathematical aspects. It covers some important methods such as FETI and balancing Neumann-Neumann methods.
Description based upon print version of record.
Offers a comprehensive presentation of some of the successful domain decomposition preconditioners for finite and spectral element approximations of partial differential equations. This book places strong emphasis on both algorithmic and mathematical aspects. It covers some important methods such as FETI and balancing Neumann-Neumann methods.
Includes bibliographical references (p. [413]-445) and index.
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.
Computer mathematics.
Mathematical analysis.
Analysis (Mathematics).
Numerical analysis.
Microprocessors.
Software engineering.
Computational Mathematics and Numerical Analysis.
Analysis.
Numerical Analysis.
Computational Science and Engineering.
Processor Architectures.
Software Engineering/Programming and Operating Systems.


Springer Series in Computational Mathematics