[PDF] Domain Decomposition Algorithms With Small Overlap eBook

Author : Maksymilian Dryja
Publisher : Palala Press
Page : 24 pages
File Size : 32,94 MB
Release : 2018-03-02
Category : History
ISBN : 9781378961568

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Author : Maksymilian Dryja
Publisher :
Page : 30 pages
File Size : 37,63 MB
Release : 2016-06-22
Category : Mathematics
ISBN : 9781332871230

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Excerpt from Domain Decomposition Algorithms With Small Overlap The main result of our early study of two-level Schwarz methods shows that the condition number of the operator, which is relevant for the conjugate gradient itera tion, is uniformly bounded if the overlap between neighboring subregions is sufficiently generous in proportion to the diameters of the subregions. 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.

Author : Andrea Toselli
Publisher : Springer Science & Business Media
Page : 454 pages
File Size : 25,88 MB
Release : 2006-06-20
Category : Mathematics
ISBN : 3540266623

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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.

Author : Olof Widlund
Publisher : Springer Science & Business Media
Page : 783 pages
File Size : 36,13 MB
Release : 2007-07-30
Category : Technology & Engineering
ISBN : 3540344691

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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.

Author : Yunqing Huang
Publisher : Springer Science & Business Media
Page : 484 pages
File Size : 18,48 MB
Release : 2010-10-27
Category : Mathematics
ISBN : 3642113044

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These are the proceedings of the 19th international conference on domain decomposition methods in science and engineering. Domain decomposition methods are iterative methods for solving the often very large linear or nonlinear systems of algebraic equations that arise in various problems in mathematics, computational science, engineering and industry. They are designed for massively parallel computers and take the memory hierarchy of such systems into account. This is essential for approaching peak floating point performance. There is an increasingly well-developed theory which is having a direct impact on the development and improvement of these algorithms.

Author : L. Tourrette
Publisher : Nova Publishers
Page : 396 pages
File Size : 23,89 MB
Release : 2001
Category : Mathematics
ISBN : 9781560729402

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

Author : Ralf Kornhuber
Publisher : Springer Science & Business Media
Page : 686 pages
File Size : 45,63 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 : David E. Keyes
Publisher : SIAM
Page : 330 pages
File Size : 42,91 MB
Release : 1995-01-01
Category : Mathematics
ISBN : 089871348X

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This volume is one attempt to provide cross-disciplinary communication between heterogeneous computational groups developing solutions to problems of parallelization.

Author : Alfio Quarteroni
Publisher : American Mathematical Soc.
Page : 510 pages
File Size : 33,51 MB
Release : 1994
Category : Mathematics
ISBN : 0821851586

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This book contains the proceedings of the Sixth International Conference on Domain Decomposition, held in June 1992 in Como, Italy. Much of the work in this field focuses on developing numerical methods for large algebraic systems.