An Introduction to Domain Decomposition Methods
Algorithms, Theory, and Parallel Implementation
£63.99
- Authors:
- Victorita Dolean, University of Strathclyde
- Pierre Jolivet, Toulouse Institute of Computer Science Research
- Frédéric Nataf, Université de Paris VI (Pierre et Marie Curie)
- Date Published: February 2016
- availability: Available in limited markets only
- format: Paperback
- isbn: 9781611974058
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63.99
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Domain decomposition methods are widely used for numerical simulations on parallel machines from tens to hundreds of thousands of cores. Contrary to direct methods, domain decomposition methods are naturally parallel. This book provides a detailed overview of the most popular domain decomposition methods for partial differential equations (PDEs), focusing on parallel linear solvers. The authors present all popular algorithms, both at the PDE level and 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. This book is beneficial to those working in domain decomposition methods, parallel computing and iterative methods, particularly those who need to implement parallel solvers for PDEs, as well as to mechanical, civil and aeronautical engineers, environmental scientists, and physicists.
Read more- Presents all popular algorithms both at the PDE level and at the discrete level in terms of matrices
- Gives systematic scripts for sequential implementation in a free open-source finite element package as well as some parallel scripts
- Describes a new coarse space construction (two-level method) that adapts to highly heterogeneous problems
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×Product details
- Date Published: February 2016
- format: Paperback
- isbn: 9781611974058
- length: 262 pages
- dimensions: 255 x 178 x 15 mm
- weight: 0.46kg
- availability: Available in limited markets only
Table of Contents
Preface
1. Schwarz methods
2. Optimized Schwarz methods
3. Krylov methods
4. Coarse spaces
5. Theory of two-level additive Schwarz methods
6. Neumann–Neumann and FETI algorithms
7. Robust coarse spaces via generalized eigenproblems: the GenEO method
8. Parallel implementation of Schwarz methods
Bibliography
Index.
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