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Computational Science, Engineering & Technology Series
ISSN 1759-3158
ISSN 1759-3158
CSETS: 24
SUBSTRUCTURING TECHNIQUES AND DOMAIN DECOMPOSITION METHODS
SUBSTRUCTURING TECHNIQUES AND DOMAIN DECOMPOSITION METHODS
Edited by: F. Magoulès
Chapter 1
Substructuring and Domain Decompostion Methods: An Overview
F. Magoulès and D. Rixen
Applied Mathematics and Systems Laboratory, Ecole Centrale Paris, Chatenay-Malabry, France
Full Bibliographic Reference for this chapter
F. Magoulès, D. Rixen, "Substructuring and Domain Decompostion Methods: An Overview", in F. Magoulès, (Editor), "Substructuring Techniques and Domain Decomposition Methods", Saxe-Coburg Publications, Stirlingshire, UK, Chapter 1, pp 1-18, 2010. doi:10.4203/csets.24.1
Keywords: domain decomposition, substructuring, Schwarz method, multi-spliting, parareal method, transformation method, asynchronous method.
Abstract
In this chapter, the history of substructuring and domain decomposition are presented and the general concepts and principles of these techniques are discussed. The key issues in domain decomposition and substructuring are first outlined for the computational mechanics community, and then recent work are reviewed. Both mathematical properties, heterogenous problems, multi-physics and multi-models, multi-point constraints, non-linearities and contacts are investigated during this discussion. The contribution of each of the remaining chapters in this book are then summarized and discussed.
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