Author : Charissa Chui-yee Cheung
Publisher :
Page : 146 pages
File Size : 38,90 MB
Release : 1997
Category : Decomposition method
ISBN :
Author : Tarek Mathew
Publisher : Springer Science & Business Media
Page : 775 pages
File Size : 14,28 MB
Release : 2008-06-25
Category : Mathematics
ISBN : 354077209X
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 : Tony F. Chan
Publisher : SIAM
Page : 518 pages
File Size : 13,73 MB
Release : 1990-01-01
Category : Mathematics
ISBN : 9780898712537
Author : Susanne C. Brenner
Publisher : Springer Nature
Page : 778 pages
File Size : 50,75 MB
Release : 2023-03-15
Category : Mathematics
ISBN : 3030950255
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 : Petter E. Bjørstad
Publisher : Springer
Page : 556 pages
File Size : 12,43 MB
Release : 2019-01-05
Category : Mathematics
ISBN : 3319938738
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 : Olof B. Widlund
Publisher : Springer Science & Business Media
Page : 783 pages
File Size : 33,74 MB
Release : 2007-01-19
Category : Computers
ISBN : 3540344683
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
Publisher : Springer Science & Business Media
Page : 255 pages
File Size : 20,35 MB
Release : 2012-12-06
Category : Computers
ISBN : 3642561187
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 : Ralf Kornhuber
Publisher : Springer Science & Business Media
Page : 686 pages
File Size : 49,56 MB
Release : 2006-03-30
Category : Mathematics
ISBN : 3540268251
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 : Victorita Dolean
Publisher : SIAM
Page : 242 pages
File Size : 11,42 MB
Release : 2015-12-08
Category : Science
ISBN : 1611974062
The purpose of this book is to offer an overview of the most popular domain decomposition methods for partial differential equations (PDEs). These methods are widely used for numerical simulations in solid mechanics, electromagnetism, flow in porous media, etc., on parallel machines from tens to hundreds of thousands of cores. The appealing feature of domain decomposition methods is that, contrary to direct methods, they are naturally parallel. The authors focus on parallel linear solvers. The authors present all popular algorithms, both at the PDE level and at the discrete level in terms of matrices, along with systematic scripts for sequential implementation in a free open-source finite element package as well as some parallel scripts. Also included is a new coarse space construction (two-level method) that adapts to highly heterogeneous problems.
Author : David E. Keyes
Publisher : SIAM
Page : 642 pages
File Size : 11,68 MB
Release : 1992-01-01
Category : Mathematics
ISBN : 9780898712889
Papers presented at the May 1991 symposium reflect continuing interest in the role of domain decomposition in the effective utilization of parallel systems; applications in fluid mechanics, structures, biology, and design optimization; and maturation of analysis of elliptic equations, with theoretic
