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Computational Science, Engineering & Technology Series
ISSN 1759-3158
Edited by: B.H.V. Topping
Chapter 5

A Survey of Asynchronous Iterative Methods

J.-C. Miellou, J.M. Bahi and M. Laaraj

IUT de Belfort, Belfort, France

Full Bibliographic Reference for this chapter
J.-C. Miellou, J.M. Bahi, M. Laaraj, "A Survey of Asynchronous Iterative Methods", in B.H.V. Topping, (Editor), "Computational Mechanics using High Performance Computing", Saxe-Coburg Publications, Stirlingshire, UK, Chapter 5, pp 95-115, 2002. doi:10.4203/csets.9.5
The asynchronous iterations are presented here as a generalisation of the usual successive approximation method applied to a fixed point mapping defined on a product space. Our aim is to give an account about abilities of asynchronous iteration in the scope of various parallel computational fields. Some comparison aspects with respect to other computational techniques are presented. The chapter ends with a new property about an asynchronous variable subdomains decomposition method for second order elliptic problems, which can be helpful with respect to dynamic load balancing.

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