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Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations

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Release : 2008-06-25
Genre : Mathematics
Kind : eBook
Book Rating : 09X/5 ( reviews)

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Book Synopsis Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations by : Tarek Mathew

Download or read book Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations written by Tarek Mathew. This book was released on 2008-06-25. Available in PDF, EPUB and Kindle. Book excerpt: 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 XXI

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Release : 2014-10-28
Genre : Mathematics
Kind : eBook
Book Rating : 880/5 ( reviews)

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Book Synopsis Domain Decomposition Methods in Science and Engineering XXI by : Jocelyne Erhel

Download or read book Domain Decomposition Methods in Science and Engineering XXI written by Jocelyne Erhel. This book was released on 2014-10-28. Available in PDF, EPUB and Kindle. Book excerpt: 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 XXII

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Release : 2018-04-24
Genre : Computers
Kind : eBook
Book Rating : 606/5 ( reviews)

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Book Synopsis Domain Decomposition Methods in Science and Engineering XXII by : Thomas Dickopf

Download or read book Domain Decomposition Methods in Science and Engineering XXII written by Thomas Dickopf. This book was released on 2018-04-24. Available in PDF, EPUB and Kindle. Book excerpt: 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 in Science and Engineering XXIII

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Release : 2018-07-18
Genre : Computers
Kind : eBook
Book Rating : 945/5 ( reviews)

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Book Synopsis Domain Decomposition Methods in Science and Engineering XXIII by : Chang-Ock Lee

Download or read book Domain Decomposition Methods in Science and Engineering XXIII written by Chang-Ock Lee. This book was released on 2018-07-18. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of papers presented at the 23rd International Conference on Domain Decomposition Methods in Science and Engineering, held on Jeju Island, Korea on July 6-10, 2015. Domain decomposition methods solve boundary value problems by splitting them into smaller boundary value problems on subdomains and iterating to coordinate the solution between adjacent subdomains. Domain decomposition methods have considerable potential for a parallelization of the finite element methods, and serve a basis for distributed, parallel computations.

Domain Decomposition Methods in Science and Engineering XXVI

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Release : 2023-03-16
Genre : Mathematics
Kind : eBook
Book Rating : 248/5 ( reviews)

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Book Synopsis Domain Decomposition Methods in Science and Engineering XXVI by : Susanne C. Brenner

Download or read book Domain Decomposition Methods in Science and Engineering XXVI written by Susanne C. Brenner. This book was released on 2023-03-16. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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