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Domain Decomposition Methods - Algorithms and Theory
Authors: ---
ISBN: 3540206965 3642058485 9786610612949 1280612940 3540266623 Year: 2005 Volume: 34 Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,

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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.

Keywords

Decomposition (Mathematics) --- Differential equations, Partial --- Décomposition (Mathématiques) --- Equations aux dérivées partielles --- 519.63 --- Numerical methods for solution of partial differential equations --- Decomposition method. --- Differential equations, Partial. --- Decomposition method --- Mathematics --- Civil & Environmental Engineering --- Physical Sciences & Mathematics --- Engineering & Applied Sciences --- Operations Research --- Mathematics - General --- Calculus --- 519.63 Numerical methods for solution of partial differential equations --- Décomposition (Mathématiques) --- Equations aux dérivées partielles --- EPUB-LIV-FT LIVMATHE SPRINGER-B --- Partial differential equations --- Method, Decomposition --- Mathematics. --- Microprocessors. --- Software engineering. --- Mathematical analysis. --- Analysis (Mathematics). --- Computer mathematics. --- Numerical analysis. --- Computational Mathematics and Numerical Analysis. --- Analysis. --- Numerical Analysis. --- Computational Science and Engineering. --- Processor Architectures. --- Software Engineering/Programming and Operating Systems. --- Mathematical analysis --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- 517.1 Mathematical analysis --- Computer software engineering --- Engineering --- Minicomputers --- Math --- Science --- Operations research --- Programming (Mathematics) --- System analysis --- Computer science --- Global analysis (Mathematics). --- Computer science. --- Informatics --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic


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Studies on parabolic and alternating-direction-implicit difference schemes
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Year: 1966 Publisher: Berkeley [s.n.]

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A characterization of wavelet families arising from biorthogonal MRA's of multiplicity d
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Year: 1998 Publisher: Milano Dipartimento di Matematica "F. Enriques"

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Iterative substructuring methods for spectral element discretizations of elliptic systems. II: mixed methods for linear elasticity and Stokes flow
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Year: 1998 Publisher: Milano Dipartimento di Matematica "F. Enriques"

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Domain Decomposition Methods in Science and Engineering XVI
Authors: --- ---
ISBN: 1280960353 9786610960354 3540344691 3540344683 Year: 2007 Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,

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Domain decomposition is an active, interdisciplinary research area concerned with the development, analysis, and implementation of coupling and decoupling strategies in mathematical and computational models of natural and engineered systems. Since the advent of hierarchical distributed memory computers, it has been motivated by considerations of concurrency and locality in a wide variety of large-scale problems, continuous and discrete. Historically, it emerged from the analysis of partial differential equations, beginning with the work of Schwarz in 1870. The present volume sets forth new contributions in areas of numerical analysis, computer science, scientific and industrial applications, and software development.


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Domain Decomposition Methods in Science and Engineering XX
Authors: --- --- ---
ISSN: 14397358 ISBN: 364242919X 364235274X 3642352758 Year: 2013 Volume: 91 Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,

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These are the proceedings of the 20th international conference on domain decomposition methods in science and engineering. Domain decomposition methods are iterative methods for solving the often very large linearor nonlinear systems of algebraic equations that arise when various problems in continuum mechanics are discretized using finite elements. They are designed for massively parallel computers and take the memory hierarchy of such systems in mind. This is essential for approaching peak floating point performance. There is an increasingly well developed theory whichis having a direct impact on the development and improvements of these algorithms.


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Domain Decomposition Methods in Science and Engineering XIX
Authors: --- --- ---
ISBN: 3642113036 9786612973819 1282973819 3642113044 Year: 2011 Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,

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These are the proceedings of the 19th international conference on domain decomposition methods in science and engineering. Domain decomposition methods are iterative methods for solving the often very large linear or nonlinear systems of algebraic equations that arise in various problems in mathematics, computational science, engineering and industry. They are designed for massively parallel computers and take the memory hierarchy of such systems into account. This is essential for approaching peak floating point performance. There is an increasingly well-developed theory which is having a direct impact on the development and improvement of these algorithms.


Book
Domain Decomposition Methods in Science and Engineering XVI
Authors: --- ---
ISBN: 9783540344698 Year: 2007 Publisher: Berlin Heidelberg Springer Berlin Heidelberg

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Domain decomposition is an active, interdisciplinary research area concerned with the development, analysis, and implementation of coupling and decoupling strategies in mathematical and computational models of natural and engineered systems. Since the advent of hierarchical distributed memory computers, it has been motivated by considerations of concurrency and locality in a wide variety of large-scale problems, continuous and discrete. Historically, it emerged from the analysis of partial differential equations, beginning with the work of Schwarz in 1870. The present volume sets forth new contributions in areas of numerical analysis, computer science, scientific and industrial applications, and software development.

Domain Decomposition Methods Algorithms and Theory
Authors: --- ---
ISBN: 9783540206965 9783540266624 Year: 2005 Publisher: Berlin Heidelberg Springer Berlin Heidelberg

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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.

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