[PDF] Domain Decomposition Techniques For Boundary Elements eBook

Author : L. Škerget
Publisher : WIT Press
Page : 321 pages
File Size : 31,54 MB
Release : 2007
Category : Mathematics
ISBN : 1845641000

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The sub-domain techniques in the BEM are nowadays finding its place in the toolbox of numerical modellers, especially when dealing with complex 3D problems. We see their main application in conjunction with the classical BEM approach, which is based on a single domain, when part of the domain needs to be solved using a single domain approach, the classical BEM, and part needs to be solved using a domain approach. This has usually been done in the past by coupling the BEM with the FEM, however, it is much more efficient to use a combination of the BEM and a BEM sub-domain technique. The advantage arises from the simplicity of coupling the single domain and multi-domain solutions, and from the fact that only one formulation needs to be developed, rather than two separate formulations based on different techniques. There are still possibilities for improving the BEM sub-domain techniques. However, considering the increased interest and research in this approach we believe that BEM sub-domain techniques will become a logical choice in the future substituting the FEM whenever an efficient solution requires coupling of the BEM with a domain technique.

Author : Olaf Steinbach
Publisher : Springer
Page : 127 pages
File Size : 14,83 MB
Release : 2003-01-01
Category : Mathematics
ISBN : 3540362509

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Domain decomposition methods are a well established tool for an efficient numerical solution of partial differential equations, in particular for the coupling of different model equations and of different discretization methods. Based on the approximate solution of local boundary value problems either by finite or boundary element methods, the global problem is reduced to an operator equation on the skeleton of the domain decomposition. Different variational formulations then lead to hybrid domain decomposition methods.

Author : Ulrich Langer
Publisher : Springer Science & Business Media
Page : 656 pages
File Size : 41,39 MB
Release : 2008-01-02
Category : 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.

Author : R. Glowinski
Publisher :
Page : 602 pages
File Size : 10,28 MB
Release : 1997-04-30
Category : Mathematics
ISBN :

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Domain Decomposition Methods are receiving significant attention in scientific and engineering computing. They provide a broad class of effective numerical methods for the solution of large scale mathematical-physical problems from sciences and engineering. This book contains invited and contributed papers from the 8th Domain Decomposition Methods Conference. The topics addressed range from basic theoretical research to industrial applications: basic algorithms, multilevel methods, parallel computing, transport, wave and flow problems. Applications include problems from fluid and structural mechanics, electromagnetics and petroleum engineering.

Author : L. Tourrette
Publisher : Nova Publishers
Page : 396 pages
File Size : 10,18 MB
Release : 2001
Category : Mathematics
ISBN : 9781560729402

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CD-ROM contains: Sections omitted from printing of text.

Author : Petter E. Bjørstad
Publisher : Springer
Page : 570 pages
File Size : 18,64 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.

Author : Ralf Kornhuber
Publisher : Springer Science & Business Media
Page : 686 pages
File Size : 48,16 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.

Author : Clemens Pechstein
Publisher : Springer Science & Business Media
Page : 329 pages
File Size : 17,45 MB
Release : 2012-12-14
Category : Mathematics
ISBN : 3642235883

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Tearing and interconnecting methods, such as FETI, FETI-DP, BETI, etc., are among the most successful domain decomposition solvers for partial differential equations. The purpose of this book is to give a detailed and self-contained presentation of these methods, including the corresponding algorithms as well as a rigorous convergence theory. In particular, two issues are addressed that have not been covered in any monograph yet: the coupling of finite and boundary elements within the tearing and interconnecting framework including exterior problems, and the case of highly varying (multiscale) coefficients not resolved by the subdomain partitioning. In this context, the book offers a detailed view to an active and up-to-date area of research.

Author : Jocelyne Erhel
Publisher : Springer
Page : 931 pages
File Size : 17,5 MB
Release : 2014-10-10
Category : 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.

Author : Olof B. Widlund
Publisher : Springer Science & Business Media
Page : 783 pages
File Size : 30,87 MB
Release : 2007-01-19
Category : 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.