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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.
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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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.
Numerical analysis --- Computer science --- Computer. Automation --- informatica --- wiskunde --- algoritmen --- informaticaonderzoek --- numerieke analyse
Digital
ISBN: 9783642113048 Year: 2011 Publisher: Berlin, Heidelberg Springer Berlin Heidelberg
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Mathematical physics --- Computer science --- Computer. Automation --- theoretische fysica --- informatica --- wiskunde --- informaticaonderzoek
Digital
ISBN: 9783642352751 Year: 2013 Publisher: Berlin, Heidelberg 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.
Mathematics --- Partial differential equations --- Differential equations --- Mathematics --- Computer science --- Programming --- Computer architecture. Operating systems --- Artificial intelligence. Robotics. Simulation. Graphics --- Computer. Automation --- differentiaalvergelijkingen --- computers --- informatica --- externe fixatie (geneeskunde --- wiskunde --- wiskunde --- informaticaonderzoek --- KI (kunstmatige intelligentie) --- computerkunde --- CAD (computer aided design)
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ISBN: 9783642026768 Year: 2009 Publisher: Berlin Springer
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Year: 1976 Publisher: Stockholm Royal Institute of technology. Department of information processing computer science
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ISBN: 3319057898 331905788X Year: 2014 Publisher: Cham : Springer International Publishing : Imprint: Springer,
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This volume contains a selection of papers presented at the 21st international conference on domain decomposition methods in science and engineering held in Rennes, France, June 25-29, 2012. Domain decomposition is an active and interdisciplinary research discipline, focusing on the development, analysis and implementation of numerical methods for massively parallel computers. Domain decomposition methods are among the most efficient solvers for large scale applications in science and engineering. They are based on a solid theoretical foundation and shown to be scalable for many important applications. Domain decomposition techniques can also naturally take into account multiscale phenomena. This book contains the most recent results in this important field of research, both mathematically and algorithmically and allows the reader to get an overview of this exciting branch of numerical analysis and scientific computing.
Numerical analysis --- Data processing. --- Computer science --- Mathematics. --- Computer science. --- Algorithms. --- Computational Mathematics and Numerical Analysis. --- Applications of Mathematics. --- Computational Science and Engineering. --- Algorism --- Algebra --- Arithmetic --- Informatics --- Science --- Math --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Foundations --- Mathematics --- Computer mathematics. --- Applied mathematics. --- Engineering mathematics. --- Engineering --- Engineering analysis --- Mathematical analysis
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ISBN: 1281179515 9786611179519 3540751998 354075198X Year: 2008 Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,
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This volume contains a selection of papers presented at the 17th International Conference on Domain Decomposition Methods in Science and Engineering held at St. Wolfgang / Strobl, Austria, July 3 - 7, 2006. 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. Domain decomposition techniques provide efficient tools for treating problems in all Computational Sciences. The reader will become familiar with the newest domain decomposition technologies and their use for modeling and simulating of complex problems from different fields of applications.
Decomposition method --- Differential equations, Partial --- Numerical analysis. --- Computer science --- Computer science. --- Engineering. --- Numerical Analysis. --- Computational Mathematics and Numerical Analysis. --- Computational Science and Engineering. --- Numerical and Computational Physics, Simulation. --- Computational Intelligence. --- Mathematics. --- Construction --- Industrial arts --- Technology --- Informatics --- Science --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Mathematical analysis --- Mathematics --- Computer mathematics. --- Physics. --- Computational intelligence. --- Intelligence, Computational --- Artificial intelligence --- Soft computing --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics
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ISBN: 9783642113048 Year: 2011 Publisher: Berlin Heidelberg Springer Berlin Heidelberg
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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.
Mathematical physics --- Computer science --- Computer. Automation --- theoretische fysica --- informatica --- wiskunde --- informaticaonderzoek
Book
ISBN: 9783540751991 Year: 2008 Publisher: Berlin Heidelberg Springer Berlin Heidelberg
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This volume contains a selection of papers presented at the 17th International Conference on Domain Decomposition Methods in Science and Engineering held at St. Wolfgang / Strobl, Austria, July 3 - 7, 2006. 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. Domain decomposition techniques provide efficient tools for treating problems in all Computational Sciences. The reader will become familiar with the newest domain decomposition technologies and their use for modeling and simulating of complex problems from different fields of applications.
Numerical analysis --- Computer science --- Computer. Automation --- informatica --- wiskunde --- algoritmen --- informaticaonderzoek --- numerieke analyse