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An introduction to domain decomposition methods: algorithms, theory, and parallel implementation
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Catalogue Information
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Dewey Class
515.353 (DDC 23)
Title
An introduction to domain decomposition methods : algorithms, theory, and parallel implementation (M) / Victorita Dolean, Pierre Jolivet, Frédéric Nataf
Author
Dolean, Victorita
Added Personal Name
Jolivet, Pierre
Nataf, Frédéric
Publication
Philadelphia [Pennsylvania] : Society for Industrial and Applied Mathematics , [2015]
Physical Details
x, 238 pages : illustrations ; 26 cm.
Series
Other Titles in Applied Mathematics
; vol. 144
ISBN
9781611974058
Summary Note
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.:
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Subject References:
Decomposition method
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Differential equations, Partial
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Authors:
Dolean, Victorita
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Jolivet, Pierre
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Nataf, Frédéric
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Series:
Other Titles in Applied Mathematics
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515.353 (DDC 23)
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0000000043668
519.63 DOL
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