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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 NeumannNeumann methods.
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  EPUBLIVFT LIVMATHE SPRINGERB  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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519.6  681.3 *G18  681.3 *G18 Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis)  Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis)  519.6 Computational mathematics. Numerical analysis. Computer programming  Computational mathematics. Numerical analysis. Computer programming
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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 largescale 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.
Decomposition method  Differential equations, Partial  Method, Decomposition  Operations research  Programming (Mathematics)  System analysis  Engineering.  Computer science  Computer science.  Engineering, general.  Computational Mathematics and Numerical Analysis.  Computational Science and Engineering.  Numerical and Computational Physics, Simulation.  Mathematics of Computing.  Mathematics.  Informatics  Science  Computer mathematics  Discrete mathematics  Electronic data processing  Construction  Industrial arts  Technology  Mathematics  Computer mathematics.  Physics.  Computer science—Mathematics.  Natural philosophy  Philosophy, Natural  Physical sciences  Dynamics
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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.
Decomposition method.  Differential equations, Partial.  Mathematics  Physical Sciences & Mathematics  Mathematics  General  Method, Decomposition  Mathematics.  Computeraided engineering.  Partial differential equations.  Computer mathematics.  Computational Mathematics and Numerical Analysis.  Computational Science and Engineering.  Partial Differential Equations.  ComputerAided Engineering (CAD, CAE) and Design.  Operations research  Programming (Mathematics)  System analysis  Computer science  Computer science.  Differential equations, partial.  Computer aided design.  CAD (Computeraided design)  Computerassisted design  Computeraided engineering  Design  Partial differential equations  Informatics  Science  Computer mathematics  Discrete mathematics  Electronic data processing  CAE  Engineering  Data processing
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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 welldeveloped theory which is having a direct impact on the development and improvement of these algorithms.
Decomposition method.  Differential equations, Partial.  Electronic books.  local.  Civil & Environmental Engineering  Mathematics  Engineering & Applied Sciences  Physical Sciences & Mathematics  Operations Research  Mathematics  General  Mathematics.  Computer science  Computer mathematics.  Physics.  Computational Mathematics and Numerical Analysis.  Computational Science and Engineering.  Numerical and Computational Physics.  Mathematics of Computing.  Natural philosophy  Philosophy, Natural  Physical sciences  Dynamics  Computer mathematics  Discrete mathematics  Electronic data processing  Math  Science  Partial differential equations  Method, Decomposition  Operations research  Programming (Mathematics)  System analysis  Computer science.  Numerical and Computational Physics, Simulation.  Informatics  Computer science—Mathematics.
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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 largescale 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.
Numerical analysis  Computer science  Computer. Automation  informatica  wiskunde  algoritmen  informaticaonderzoek  numerieke analyse
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The purpose of this text is to offer a comprehensive and selfcontained 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 wellknown 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.
Numerical solutions of algebraic equations  Numerical solutions of differential equations  Computer science  Programming  Computer architecture. Operating systems  informatica  computerbesturingssystemen  programmeren (informatica)  wiskunde  informaticaonderzoek  architectuur (informatica)
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