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Author : James H. Bramble,Joseph E. Pasciak,Jinchao Xu
Publisher : Unknown
Page : 34 pages
File Size : 45,5 Mb
Release : 1992
Category : Electronic
ISBN : CORNELL:31924063436491
Author : Ernst P. Stephan,Thanh Tran
Publisher : Springer Nature
Page : 589 pages
File Size : 44,6 Mb
Release : 2021-11-04
Category : Mathematics
ISBN : 9783030792831
This book provides a comprehensive examination of preconditioners for boundary element discretisations of first-kind integral equations. Focusing on domain-decomposition-type and multilevel methods, it allows readers to gain a good understanding of the mechanisms and necessary techniques in the analysis of the preconditioners. These techniques are unique for the discretisation of first-kind integral equations since the resulting systems of linear equations are not only large and ill-conditioned, but also dense. The book showcases state-of-the-art preconditioning techniques for boundary integral equations, presenting up-to-date research. It also includes a detailed discussion of Sobolev spaces of fractional orders to familiarise readers with important mathematical tools for the analysis. Furthermore, the concise overview of adaptive BEM, hp-version BEM, and coupling of FEM-BEM provides efficient computational tools for solving practical problems with applications in science and engineering.
Author : Barry Smith,Petter Bjorstad,William Gropp
Publisher : Cambridge University Press
Page : 244 pages
File Size : 53,6 Mb
Release : 2004-03-25
Category : Computers
ISBN : 0521602866
Presents an easy-to-read discussion of domain decomposition algorithms, their implementation and analysis. Ideal for graduate students about to embark on a career in computational science. It will also be a valuable resource for all those interested in parallel computing and numerical computational methods.
Author : Anonim
Publisher : Unknown
Page : 292 pages
File Size : 50,8 Mb
Release : 1992
Category : Aeronautics
ISBN : MINN:30000002775033
Author : Institut national de recherche en informatique et en automatique (France)
Publisher : Unknown
Page : 870 pages
File Size : 48,6 Mb
Release : 1991
Category : Science
ISBN : STANFORD:36105019182778
The proceedings of the 10th International Conference on [title], organized by the Institut National de Recherche en Informatique et en Automatique (France), and held in Paris, February 1992. The 67 papers (including nine invited lectures) describe results fundamental to scientific computing, in the
Author : Anonim
Publisher : Unknown
Page : 322 pages
File Size : 54,9 Mb
Release : 1994
Category : Mathematics
ISBN : PSU:000052400629
Author : James H Bramble
Publisher : Routledge
Page : 114 pages
File Size : 49,6 Mb
Release : 2019-01-22
Category : Mathematics
ISBN : 9781351429856
Multigrid methods are among the most efficient iterative methods for the solution of linear systems which arise in many large scale scientific calculations. Every researcher working with the numerical solution of partial differential equations should at least be familiar with this powerful technique. This invaluable book presents results concerning the rates of convergence of multigrid iterations.
Author : Olof B. Widlund,David E. Keyes
Publisher : Springer Science & Business Media
Page : 783 pages
File Size : 50,5 Mb
Release : 2007-01-19
Category : Computers
ISBN : 9783540344681
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 : Luca F. Pavarino,Andrea Toselli
Publisher : Springer Science & Business Media
Page : 255 pages
File Size : 52,5 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9783642561184
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 : Anonim
Publisher : Unknown
Page : 654 pages
File Size : 52,8 Mb
Release : 1993
Category : Power resources
ISBN : MSU:31293011519018
Author : Wolfgang Hackbusch
Publisher : Springer Science & Business Media
Page : 222 pages
File Size : 48,8 Mb
Release : 2013-04-17
Category : Technology & Engineering
ISBN : 9783322868596
The coupling considered in this volume may be of physical or numerical nature. Examples of the first kind are the solid-fluid interactions, microelectronic systems, and the coupled modelling in groundwater flow. Examples of the latter kind are the domain or subspace decomposition, the local defect correction method, and the very important FEM-BEM coupling.
Author : Randolph Bank,Michael Holst,Olof Widlund,Jinchao Xu
Publisher : Springer Science & Business Media
Page : 702 pages
File Size : 45,5 Mb
Release : 2013-07-03
Category : Mathematics
ISBN : 9783642352751
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 : James H. Bramble,Joseph E. Pasciak,Jinchao Xu
Publisher : Unknown
Page : 50 pages
File Size : 49,8 Mb
Release : 1989
Category : Electronic
ISBN : CORNELL:31924058547575
Author : Are Magnus Bruaset
Publisher : Routledge
Page : 140 pages
File Size : 47,9 Mb
Release : 2018-12-13
Category : Mathematics
ISBN : 9781351469364
The problem of solving large, sparse, linear systems of algebraic equations is vital in scientific computing, even for applications originating from quite different fields. A Survey of Preconditioned Iterative Methods presents an up to date overview of iterative methods for numerical solution of such systems. Typically, the methods considered are w
Author : Chang-Ock Lee,Xiao-Chuan Cai,David E. Keyes,Hyea Hyun Kim,Axel Klawonn,Eun-Jae Park,Olof B. Widlund
Publisher : Springer
Page : 415 pages
File Size : 48,7 Mb
Release : 2017-03-15
Category : Computers
ISBN : 9783319523897
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.
