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SUBSTRUCTURING TECHNIQUES AND DOMAIN DECOMPOSITION METHODS
Edited by: F. Magoulès
Substructuring and Domain Decompostion Methods: An Overview
F. Magoulès and D. Rixen
Applied Mathematics and Systems Laboratory, Ecole Centrale Paris, Chatenay-Malabry, France
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.
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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