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Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations

Author : Tarek Mathew
Publisher : Springer Science & Business Media
Page : 775 pages
File Size : 12,70 MB
Release : 2008-06-25
Category : Mathematics
ISBN : 354077209X

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Domain decomposition methods are divide and conquer computational methods for the parallel solution of partial differential equations of elliptic or parabolic type. The methodology includes iterative algorithms, and techniques for non-matching grid discretizations and heterogeneous approximations. This book serves as a matrix oriented introduction to domain decomposition methodology. A wide range of topics are discussed include hybrid formulations, Schwarz, and many more.

Domain Decomposition Methods in Science and Engineering XXIV

Author : Petter E. Bjørstad
Publisher : Springer
Page : 570 pages
File Size : 39,87 MB
Release : 2019-01-05
Category : Mathematics
ISBN : 3319938738

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These are the proceedings of the 24th International Conference on Domain Decomposition Methods in Science and Engineering, which was held in Svalbard, Norway in February 2017. Domain decomposition methods are iterative methods for solving the often very large systems of equations that arise when engineering problems are discretized, frequently using finite elements or other modern techniques. These methods are specifically designed to make effective use of massively parallel, high-performance computing systems. The book presents both theoretical and computational advances in this domain, reflecting the state of art in 2017.

Domain Decomposition Methods in Science and Engineering XXVI

Author : Susanne C. Brenner
Publisher : Springer Nature
Page : 778 pages
File Size : 45,18 MB
Release : 2023-03-15
Category : Mathematics
ISBN : 3030950255

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These are the proceedings of the 26th International Conference on Domain Decomposition Methods in Science and Engineering, which was hosted by the Chinese University of Hong Kong and held online in December 2020. Domain decomposition methods are iterative methods for solving the often very large systems of equations that arise when engineering problems are discretized, frequently using finite elements or other modern techniques. These methods are specifically designed to make effective use of massively parallel, high-performance computing systems. The book presents both theoretical and computational advances in this domain, reflecting the state of art in 2020.

Domain Decomposition

Author : Barry Smith
Publisher : Cambridge University Press
Page : 244 pages
File Size : 28,76 MB
Release : 2004-03-25
Category : Computers
ISBN : 9780521602860

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Presents an easy-to-read discussion of domain decomposition algorithms, their implementation and analysis. Ideal for graduate students about to embark on a career in computational science. It will also be a valuable resource for all those interested in parallel computing and numerical computational methods.

Fifth International Symposium on Domain Decomposition Methods for Partial Differential Equations

Author : David E. Keyes
Publisher : SIAM
Page : 642 pages
File Size : 37,33 MB
Release : 1992-01-01
Category : Mathematics
ISBN : 9780898712889

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Papers presented at the May 1991 symposium reflect continuing interest in the role of domain decomposition in the effective utilization of parallel systems; applications in fluid mechanics, structures, biology, and design optimization; and maturation of analysis of elliptic equations, with theoretic

Domain Decomposition Methods in Science and Engineering XVI

Author : Olof Widlund
Publisher : Springer Science & Business Media
Page : 783 pages
File Size : 41,5 MB
Release : 2007-07-30
Category : Technology & Engineering
ISBN : 3540344691

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Domain decomposition is an active research area concerned with the development, analysis, and implementation of coupling and decoupling strategies in mathematical and computational models of natural and engineered systems. The present volume sets forth new contributions in areas of numerical analysis, computer science, scientific and industrial applications, and software development.

Domain Decomposition Methods in Science and Engineering

Author : Ralf Kornhuber
Publisher : Springer Science & Business Media
Page : 686 pages
File Size : 47,40 MB
Release : 2006-03-30
Category : Mathematics
ISBN : 3540268251

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Domain decomposition is an active, interdisciplinary research area that is devoted to the development, analysis and implementation of coupling and decoupling strategies in mathematics, computational science, engineering and industry. A series of international conferences starting in 1987 set the stage for the presentation of many meanwhile classical results on substructuring, block iterative methods, parallel and distributed high performance computing etc. This volume contains a selection from the papers presented at the 15th International Domain Decomposition Conference held in Berlin, Germany, July 17-25, 2003 by the world's leading experts in the field. Its special focus has been on numerical analysis, computational issues,complex heterogeneous problems, industrial problems, and software development.