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F. Hülsemann, "Fast Schwarz Domain Decomposition Methods through Extrapolation", in F. Magoulès, (Editor), "Mesh Partitioning Techniques and Domain Decomposition Methods", Saxe-Coburg Publications, Stirlingshire, UK, Chapter 11, pp 269-292, 2007. doi:10.4203/csets.17.11

Keywords: domain decomposition, overlapping Schwarz algorithm, extrapolation, elliptic partial differential equations.

Abstract

The topic of this chapter is the Aitken-Schwarz method on strip-like subdomains for separable, second order elliptic differential operators. The Aitken-Schwarz approach is essentially an extrapolation of the boundary conditions on the inter-partition interfaces. Its fast convergence property, which is backed up by numerical experiments, makes the method well suited for parallel metacomputing settings. A reformulation of the method that aims to reduce the preprocessing costs is presented and its convergence is examined in numerical experiments.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Computational Science, Engineering & Technology Series ISSN 1759-3158 CSETS: 17 MESH PARTITIONING TECHNIQUES AND DOMAIN DECOMPOSITION METHODS Edited by: F. Magoulès Chapter 11 Fast Schwarz Domain Decomposition Methods through Extrapolation F. Hülsemann CERFACS, Toulouse, France doi:10.4203/csets.17.11 purchase the full-text of this chapter Full Bibliographic Reference for this chapter F. Hülsemann, "Fast Schwarz Domain Decomposition Methods through Extrapolation", in F. Magoulès, (Editor), "Mesh Partitioning Techniques and Domain Decomposition Methods", Saxe-Coburg Publications, Stirlingshire, UK, Chapter 11, pp 269-292, 2007. doi:10.4203/csets.17.11 Keywords: domain decomposition, overlapping Schwarz algorithm, extrapolation, elliptic partial differential equations. Abstract The topic of this chapter is the Aitken-Schwarz method on strip-like subdomains for separable, second order elliptic differential operators. The Aitken-Schwarz approach is essentially an extrapolation of the boundary conditions on the inter-partition interfaces. Its fast convergence property, which is backed up by numerical experiments, makes the method well suited for parallel metacomputing settings. A reformulation of the method that aims to reduce the preprocessing costs is presented and its convergence is examined in numerical experiments. purchase the full-text of this chapter (price £25) go to the previous chapter go to the next chapter return to the table of contents return to the book description purchase this book (price £95 +P&P)
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