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Author : Jinsheng Gu
Publisher :
ISBN 13 :
Total Pages : 21 pages
Book Rating : 4.:/5 (59 download)
Download or read book Some Estimates with Nonconforming Elements in the Analysis of Domain Decomposition Methods written by Jinsheng Gu and published by . This book was released on 1995 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jinsheng Gu
Publisher : Nova Publishers
ISBN 13 : 9781560726142
Total Pages : 168 pages
Book Rating : 4.7/5 (261 download)
Download or read book Domain Decomposition Methods for Nonconforming Finite Element Discretizations written by Jinsheng Gu and published by Nova Publishers. This book was released on 1999 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: Domain decomposition refers to numerical methods for obtaining solutions of scientific and engineering problems by combining solutions to problems posed on physical subdomains, or, more generally, by combining solutions to appropriately constructed subproblems. It has been a subject of intense interest recently because of its suitability for implementation on high performance computer architectures. It is well known that the nonconforming finite elements are widely used in and effective for the solving of partial differential equations derived from mechanics and engineering, because they have fewer degrees of freedom, simpler basis functions and better convergence behavior. But, there has been no extensive study of domain decomposition methods with nonconforming finite elements which lack the global continuity. Therefore, a rather systematic investigation on domain decomposition methods with nonconforming elements is of great significance and this is what the present book achieves. The theoretical breakthrough is the establishment of a series of essential estimates, especially the extension theorems for nonconforming elements, which play key roles in domain decomposition analysis. There are also many originalities in the design of the domain decomposition algorithms for the nonconforming finite element discretizations, according to the features of the nonconforming elements. The existing domain decomposition methods developed in the conforming finite element discrete case can be revised properly and extended to the nonconforming finite element discrete case correspondingly. These algorithms, nonoverlap or overlap, are as efficient as their counterparts in the conforming cases, and even easier in implementation.
Author : R. Glowinski
Publisher :
ISBN 13 :
Total Pages : 602 pages
Book Rating : 4.F/5 ( download)
Download or read book Domain Decomposition Methods in Sciences and Engineering written by R. Glowinski and published by . This book was released on 1997-04-30 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Luca F. Pavarino
Publisher : Springer Science & Business Media
ISBN 13 : 3642561187
Total Pages : 255 pages
Book Rating : 4.6/5 (425 download)
Download or read book Recent Developments in Domain Decomposition Methods written by Luca F. Pavarino and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main goal of this book is to provide an overview of some of the most recent developments in the field of Domain Decomposition Methods. Domain decomposition relates to the construction of preconditioners for the large algebraic systems of equations which often arise in applications, by solving smaller instances of the same problem. It also relates to the construction of approximation methods built from different discretizations in different subdomains. The resulting methods are among the most successful parallel solvers for many large scale problems in computational science and engineering. The papers in this collection reflect some of the most active research areas in domain decomposition such as novel FETI, Neumann-Neumann, overlapping Schwarz and Mortar methods.
Author : Tony F. Chan
Publisher : SIAM
ISBN 13 : 9780898712537
Total Pages : 518 pages
Book Rating : 4.7/5 (125 download)
Download or read book Third International Symposium on Domain Decomposition Methods for Partial Differential Equations written by Tony F. Chan and published by SIAM. This book was released on 1990-01-01 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Andrea Toselli
Publisher : Springer Science & Business Media
ISBN 13 : 3540266623
Total Pages : 454 pages
Book Rating : 4.5/5 (42 download)
Download or read book Domain Decomposition Methods - Algorithms and Theory written by Andrea Toselli and published by Springer Science & Business Media. This book was released on 2006-06-20 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Tarek Mathew
Publisher : Springer Science & Business Media
ISBN 13 : 354077209X
Total Pages : 775 pages
Book Rating : 4.5/5 (47 download)
Download or read book Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations written by Tarek Mathew and published by Springer Science & Business Media. This book was released on 2008-06-25 with total page 775 pages. 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.
Author : Olaf Steinbach
Publisher : Springer
ISBN 13 : 3540362509
Total Pages : 127 pages
Book Rating : 4.5/5 (43 download)
Download or read book Stability Estimates for Hybrid Coupled Domain Decomposition Methods written by Olaf Steinbach and published by Springer. This book was released on 2003-01-01 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Ralf Kornhuber
Publisher : Springer Science & Business Media
ISBN 13 : 9783540225232
Total Pages : 718 pages
Book Rating : 4.2/5 (252 download)
Download or read book Domain Decomposition Methods in Science and Engineering written by Ralf Kornhuber and published by Springer Science & Business Media. This book was released on 2004-10-07 with total page 718 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Randolph Bank
Publisher : Springer Science & Business Media
ISBN 13 : 3642352758
Total Pages : 702 pages
Book Rating : 4.6/5 (423 download)
Download or read book Domain Decomposition Methods in Science and Engineering XX written by Randolph Bank and published by Springer Science & Business Media. This book was released on 2013-07-03 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt: These are the proceedings of the 20th international conference on domain decomposition methods in science and engineering. Domain decomposition methods are iterative methods for solving the often very large linearor nonlinear systems of algebraic equations that arise when various problems in continuum mechanics are discretized using finite elements. They are designed for massively parallel computers and take the memory hierarchy of such systems in mind. This is essential for approaching peak floating point performance. There is an increasingly well developed theory whichis having a direct impact on the development and improvements of these algorithms.
Author : Susanne C. Brenner
Publisher : Springer Nature
ISBN 13 : 3030950255
Total Pages : 778 pages
Book Rating : 4.0/5 (39 download)
Download or read book Domain Decomposition Methods in Science and Engineering XXVI written by Susanne C. Brenner and published by Springer Nature. This book was released on 2023-03-15 with total page 778 pages. 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.
Author :
Publisher :
ISBN 13 :
Total Pages : 784 pages
Book Rating : 4.3/5 (91 download)
Download or read book Mathematical Reviews written by and published by . This book was released on 2006 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Yunqing Huang
Publisher : Springer Science & Business Media
ISBN 13 : 3642113044
Total Pages : 484 pages
Book Rating : 4.6/5 (421 download)
Download or read book Domain Decomposition Methods in Science and Engineering XIX written by Yunqing Huang and published by Springer Science & Business Media. This book was released on 2010-10-27 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Ulrich Langer
Publisher : Springer Science & Business Media
ISBN 13 : 3540751998
Total Pages : 656 pages
Book Rating : 4.5/5 (47 download)
Download or read book Domain Decomposition Methods in Science and Engineering XVII written by Ulrich Langer and published by Springer Science & Business Media. This book was released on 2008-01-02 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 :
Publisher :
ISBN 13 :
Total Pages : 610 pages
Book Rating : 4.:/5 (45 download)
Download or read book Journal of Computational Mathematics written by and published by . This book was released on 1998 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jan Mandel
Publisher : American Mathematical Soc.
ISBN 13 : 0821809881
Total Pages : 569 pages
Book Rating : 4.8/5 (218 download)
Download or read book Domain Decomposition Methods 10 written by Jan Mandel and published by American Mathematical Soc.. This book was released on 1998 with total page 569 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Arieh Iserles
Publisher : Cambridge University Press
ISBN 13 : 9780521461818
Total Pages : 582 pages
Book Rating : 4.4/5 (618 download)
Download or read book Acta Numerica 1994: Volume 3 written by Arieh Iserles and published by Cambridge University Press. This book was released on 1994-07-29 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: Acta Numerica is an annual volume presenting survey papers in numerical analysis accessible to graduate students and researchers. Highlights of the 1994 issue are articles on domain decomposition, mesh adaption, pseudospectral methods and neural networks.
