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Computational Science, Engineering & Technology Series
ISSN 1759-3158
CSETS: 17
MESH PARTITIONING TECHNIQUES AND DOMAIN DECOMPOSITION METHODS
Edited by: F. Magoulès
Chapter 5

Basics of the Domain Decomposition Method for Finite Element Analysis

G.P. Nikishkov

University of Aizu, Aizu-Wakamatsu City, Fukushima, Japan

Full Bibliographic Reference for this chapter
G.P. Nikishkov, "Basics of the Domain Decomposition Method for Finite Element Analysis", in F. Magoulès, (Editor), "Mesh Partitioning Techniques and Domain Decomposition Methods", Saxe-Coburg Publications, Stirlingshire, UK, Chapter 5, pp 119-142, 2007. doi:10.4203/csets.17.5
Keywords: finite element method, domain decomposition, partitioning, parallel.

Abstract
An introduction to the domain decomposition method for parallel finite element analysis is presented. The domain decomposition method allows decomposition of large-size problem solutions to solutions of several smaller size problems. Algorithms of domain partitioning with compute load balancing as well as direct and iterative solution techniques are considered.

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