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Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations

Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations
Author: Tarek Mathew
Publisher: Springer Science & Business Media
Total Pages: 775
Release: 2008-06-25
Genre: 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

Domain Decomposition Methods in Science and Engineering
Author: Ralf Kornhuber
Publisher: Springer Science & Business Media
Total Pages: 686
Release: 2006-03-30
Genre: 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.


Domain Decomposition Methods in Science and Engineering XXVI

Domain Decomposition Methods in Science and Engineering XXVI
Author: Susanne C. Brenner
Publisher: Springer Nature
Total Pages: 778
Release: 2023-03-15
Genre: 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 Methods in Science and Engineering XXV

Domain Decomposition Methods in Science and Engineering XXV
Author: Ronald Haynes
Publisher: Springer Nature
Total Pages: 508
Release: 2020-10-24
Genre: Mathematics
ISBN: 3030567508

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These are the proceedings of the 25th International Conference on Domain Decomposition Methods in Science and Engineering, which was held in St. John's, Newfoundland, Canada in July 2018. 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 2018.


Domain Decomposition Methods in Science and Engineering XXIV

Domain Decomposition Methods in Science and Engineering XXIV
Author: Petter E. Bjørstad
Publisher: Springer
Total Pages: 570
Release: 2019-01-05
Genre: 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 XXI

Domain Decomposition Methods in Science and Engineering XXI
Author: Jocelyne Erhel
Publisher: Springer
Total Pages: 931
Release: 2014-10-10
Genre: Mathematics
ISBN: 3319057898

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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.


Domain Decomposition Methods in Science and Engineering XVI

Domain Decomposition Methods in Science and Engineering XVI
Author: Olof B. Widlund
Publisher: Springer Science & Business Media
Total Pages: 783
Release: 2007-01-19
Genre: Computers
ISBN: 3540344683

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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 XVII

Domain Decomposition Methods in Science and Engineering XVII
Author: Ulrich Langer
Publisher: Springer Science & Business Media
Total Pages: 656
Release: 2008-01-02
Genre: Mathematics
ISBN: 3540751998

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Domain decomposition is an active, interdisciplinary research field concerned with the development, analysis, and implementation of coupling and decoupling strategies in mathematical and computational models. This volume contains selected papers presented at the 17th International Conference on Domain Decomposition Methods in Science and Engineering. It presents the newest domain decomposition techniques and examines their use in the modeling and simulation of complex problems.


Domain Decomposition Methods in Science and Engineering XXII

Domain Decomposition Methods in Science and Engineering XXII
Author: Thomas Dickopf
Publisher: Springer
Total Pages: 638
Release: 2016-03-11
Genre: Computers
ISBN: 3319188275

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These are the proceedings of the 22nd International Conference on Domain Decomposition Methods, which was held in Lugano, Switzerland. With 172 participants from over 24 countries, this conference continued a long-standing tradition of internationally oriented meetings on Domain Decomposition Methods. The book features a well-balanced mix of established and new topics, such as the manifold theory of Schwarz Methods, Isogeometric Analysis, Discontinuous Galerkin Methods, exploitation of modern HPC architectures and industrial applications. As the conference program reflects, the growing capabilities in terms of theory and available hardware allow increasingly complex non-linear and multi-physics simulations, confirming the tremendous potential and flexibility of the domain decomposition concept.