Domain Decomposition
This book presents an easy-to-read discussion of domain decomposition algorithms, their implementation and analysis. The relationship between domain decomposition and multigrid methods is carefully explained at an elementary level, and discussions of the implementation of domain decomposition methods on massively parallel super computers are also included. All algorithms are fully described and explained, and a mathematical framework for the analysis and complete understanding of the methods is also carefully developed. In addition, numerous numerical examples are included to demonstrate the behaviour of this important class of numerical methods. This book is 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.
- First complete book on domain decomposition methods
- Introduces the concepts required for the efficient solution of partial differential equations on distributed, parallel, and conventional computers
- Applications in computer science, mathematics and engineering
Reviews & endorsements
'This book presents an easy-to-read discussion of domain decomposition algorithms, their implementation and analysis … All algorithms are fully described and explained, and a mathematical framework for the analysis and complete understanding of the methods is also carefully developed.' L'Enseignement Mathématique
Product details
July 2004Paperback
9780521602860
240 pages
245 × 183 × 13 mm
0.44kg
46 b/w illus. 2 tables
Available
Table of Contents
- 1. One level algorithms
- 2. Two level algorithms
- 3. Multilevel algorithms
- 4. Substructuring methods
- 5. A convergence theory
- Appendix 1
- Appendix 2
- Bibliography.