Domain Decomposition Methods In Science And Engineering
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Domain Decomposition Methods In Science And Engineering
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Author :
language : en
Publisher:
Release Date : 2005
Domain Decomposition Methods In Science And Engineering written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Decomposition method categories.
An Introduction To Domain Decomposition Methods
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Author : Victorita Dolean
language : en
Publisher: SIAM
Release Date : 2015-12-08
An Introduction To Domain Decomposition Methods written by Victorita Dolean and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-08 with Science categories.
The purpose of this book is to offer an overview of the most popular domain decomposition methods for partial differential equations (PDEs). These methods are widely used for numerical simulations in solid mechanics, electromagnetism, flow in porous media, etc., on parallel machines from tens to hundreds of thousands of cores. The appealing feature of domain decomposition methods is that, contrary to direct methods, they are naturally parallel. The authors focus on parallel linear solvers. The authors present all popular algorithms, both at the PDE level and at the discrete level in terms of matrices, along with systematic scripts for sequential implementation in a free open-source finite element package as well as some parallel scripts. Also included is a new coarse space construction (two-level method) that adapts to highly heterogeneous problems.
Domain Decomposition Methods In Science And Engineering Xxi
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Author : Jocelyne Erhel
language : en
Publisher: Springer
Release Date : 2014-10-10
Domain Decomposition Methods In Science And Engineering Xxi written by Jocelyne Erhel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-10 with Mathematics categories.
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 Xxvi
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Author : Susanne C. Brenner
language : en
Publisher: Springer Nature
Release Date : 2023-03-15
Domain Decomposition Methods In Science And Engineering Xxvi written by Susanne C. Brenner and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-15 with Mathematics categories.
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
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Author : Ronald Haynes
language : en
Publisher: Springer Nature
Release Date : 2020-10-24
Domain Decomposition Methods In Science And Engineering Xxv written by Ronald Haynes and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-24 with Mathematics categories.
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 Xxvii
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Author : Zdeněk Dostál
language : en
Publisher:
Release Date : 2025-01-24
Domain Decomposition Methods In Science And Engineering Xxvii written by Zdeněk Dostál and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-24 with Computers categories.
These are the proceedings of the 27th International Conference on Domain Decomposition Methods in Science and Engineering, which was held in Prague, Czech Republic, in July 2022. 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 2022.
Domain Decomposition Methods For The Numerical Solution Of Partial Differential Equations
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Author : Tarek Mathew
language : en
Publisher: Springer
Release Date : 2009-08-29
Domain Decomposition Methods For The Numerical Solution Of Partial Differential Equations written by Tarek Mathew and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-29 with Mathematics categories.
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
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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.
Discretization Methods And Iterative Solvers Based On Domain Decomposition
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Author : Barbara I. Wohlmuth
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Discretization Methods And Iterative Solvers Based On Domain Decomposition written by Barbara I. Wohlmuth 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 2012-12-06 with Mathematics categories.
Domain decomposition methods provide powerful and flexible tools for the numerical approximation of partial differential equations arising in the modeling of many interesting applications in science and engineering. This book deals with discretization techniques on non-matching triangulations and iterative solvers with particular emphasis on mortar finite elements, Schwarz methods and multigrid techniques. New results on non-standard situations as mortar methods based on dual basis functions and vector field discretizations are analyzed and illustrated by numerical results. The role of trace theorems, harmonic extensions, dual norms and weak interface conditions is emphasized. Although the original idea was used successfully more than a hundred years ago, these methods are relatively new for the numerical approximation. The possibilites of high performance computations and the interest in large- scale problems have led to an increased research activity.
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.