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Computational Science, Engineering & Technology Series
ISSN 1759-3158
ISSN 1759-3158
CSETS: 30
COMPUTATIONAL METHODS FOR ENGINEERING SCIENCE
COMPUTATIONAL METHODS FOR ENGINEERING SCIENCE
Edited by: B.H.V. Topping
Chapter 17
Asynchronous Optimized Schwarz Methods
F. Magoulès
Laboratoire de Mathématiques Appliquées aux Systèmes, Ecole Centrale Paris, Châtenay-Malabry, France
Full Bibliographic Reference for this chapter
F. Magoulès, "Asynchronous Optimized Schwarz Methods", in B.H.V. Topping, (Editor), "Computational Methods for Engineering Science", Saxe-Coburg Publications, Stirlingshire, UK, Chapter 17, pp 425-443, 2012. doi:10.4203/csets.30.17
Keywords: Schwarz algorithm, domain decomposition, interface condition, parallel computing, asynchronous iteration.
Abstract
Optimized Schwarz methods are very efficient iterative algorithms
for the parallel solution of computational mechanics problems. These
methods are similar to the classical Schwarz methods, but they use absorbing interface conditions between the sub-domains. These
interface conditions are then optimized for efficiency and lead to a
fast and robust convergence behavior of the iterative algorithm. A
wide range of optimization techniques have been proposed and
developed in the literature.
In this chapter, optimized Schwarz methods are extended to the asynchronous
context. The word asynchronous here is related to the iterations of
the mathematical algorithm.
Numerical experiments illustrate the robustness and efficiency of
this original approach when solving the Helmholtz equation on parallel computers.
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