Domain Decomposition Algorithms For Indefinite Elliptic Problems
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Domain Decomposition Algorithms For Indefinite Elliptic Problems Classic Reprint
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Author : Xiao-Chuan Cai
language : en
Publisher: Forgotten Books
Release Date : 2017-11-27
Domain Decomposition Algorithms For Indefinite Elliptic Problems Classic Reprint written by Xiao-Chuan Cai and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-27 with categories.
Excerpt from Domain Decomposition Algorithms for Indefinite Elliptic Problems Domain decomposition techniques are powerful iterative methods for solving lin ear systems oi equations that arise from finite element problems. In each iteration step, a coarse mesh finite element problem and a number of smaller linear sys tems, which correspond to the restriction of the original problem to subregions, are solved instead of the large original system. These algorithms can be regarded as divide and conquer methods. The number of subproblems can be large and these methods are therefore promising for parallel computation. The central mathematical question is to obtain estimates on the rate of convergence of the iteration by deriving bounds on the spectrum of the iteration operator. We are able to establish quite satisfactory bounds if the coarse mesh is fine enough. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Domain Decomposition Algorithms For Indefinite Elliptic Problems
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Author : Xiao-Chuan Cai
language : en
Publisher:
Release Date : 1990
Domain Decomposition Algorithms For Indefinite Elliptic Problems written by Xiao-Chuan Cai and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with categories.
Domain Decomposition Methods Algorithms And Theory
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Author : Andrea Toselli
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-06-20
Domain Decomposition Methods Algorithms And Theory written by Andrea Toselli and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-06-20 with Mathematics categories.
This book offers a comprehensive presentation of some of the most successful and popular domain decomposition preconditioners for finite and spectral element approximations of partial differential equations. It places strong emphasis on both algorithmic and mathematical aspects. It covers in detail important methods such as FETI and balancing Neumann-Neumann methods and algorithms for spectral element methods.
Fifth International Symposium On Domain Decomposition Methods For Partial Differential Equations
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Author : David E. Keyes
language : en
Publisher: SIAM
Release Date : 1992-01-01
Fifth International Symposium On Domain Decomposition Methods For Partial Differential Equations written by David E. Keyes and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-01-01 with Mathematics categories.
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 Based Parallelism And Problem Decomposition Methods In Computational Science And Engineering
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Author : David E. Keyes
language : en
Publisher: SIAM
Release Date : 1995-01-01
Domain Based Parallelism And Problem Decomposition Methods In Computational Science And Engineering written by David E. Keyes and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-01-01 with Mathematics categories.
This refereed volume arose from the editors' recognition that physical scientists, engineers, and applied mathematicians are developing, in parallel, solutions to problems of parallelization. The cross-disciplinary field of scientific computation is bringing about better communication between heterogeneous computational groups, as they face this common challenge. This volume is one attempt to provide cross-disciplinary communication. Problem decomposition and the use of domain-based parallelism in computational science and engineering was the subject addressed at a workshop held at the University of Minnesota Supercomputer Institute in April 1994. The authors were subsequently able to address the relationships between their individual applications and independently developed approaches. This book is written for an interdisciplinary audience and concentrates on transferable algorithmic techniques, rather than the scientific results themselves. Cross-disciplinary editing was employed to identify jargon that needed further explanation and to ensure provision of a brief scientific background for each chapter at a tutorial level so that the physical significance of the variables is clear and correspondences between fields are visible.
Domain Decomposition Methods In Science And Engineering Xxii
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Author : Thomas Dickopf
language : en
Publisher: Springer
Release Date : 2016-03-11
Domain Decomposition Methods In Science And Engineering Xxii written by Thomas Dickopf and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-11 with Computers categories.
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.
Domain Decomposition Methods 10
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Author : Jan Mandel
language : en
Publisher: American Mathematical Soc.
Release Date : 1998
Domain Decomposition Methods 10 written by Jan Mandel and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.
This volume contains the proceedings of the Tenth International Conference on Domain Decomposition Methods, which focused on the latest developments in realistic applications in structural mechanics, structural dynamics, computational fluid dynamics, and heat transfer. The proceedings of these conferences have become standard references in the field and contain seminal papers as well as the latest theoretical results and reports on practical applications.
Domain Decomposition Methods In Science And Engineering
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Author : Ralf Kornhuber
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-30
Domain Decomposition Methods In Science And Engineering written by Ralf Kornhuber and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-30 with Mathematics categories.
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 Xvii
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Author : Ulrich Langer
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-01-02
Domain Decomposition Methods In Science And Engineering Xvii written by Ulrich Langer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-02 with Mathematics categories.
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 Xxiv
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Author : Petter E. Bjørstad
language : en
Publisher: Springer
Release Date : 2019-01-05
Domain Decomposition Methods In Science And Engineering Xxiv written by Petter E. Bjørstad and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-05 with Mathematics categories.
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.