An Introduction to Domain Decomposition Methods

Language: English

Published by Society for Industrial and Applied Mathematics,U.S., US, 2015

1611974054 / 9781611974058

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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.Systematic scripts for sequential implementation in a free open-source finite element package as well as some parallel scripts. A new coarse space construction (two-level method) that adapts to highly heterogeneous problems.

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Title
An Introduction to Domain Decomposition Methods
Author
Pierre Jolivet, Frédéric Nataf, Victorita Dolean
Publisher
Society for Industrial and Applied Mathematics,U.S., US
Publication year
2015
Condition
New
Binding
Paperback
Language
English
ISBN 10
1611974054
ISBN 13
9781611974058
Item weight
460 grams

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