Non-overlapping additive Schwarz methods tuned to highly heterogeneous media |
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| Authors: | Yvon Maday Frédéric Magoulès |
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| Affiliation: | 1. Laboratoire Jacques-Louis Lions, université Pierre et Marie Curie, BP 187, 75252 Paris cedex 05, France;2. Division of Applied Mathematics, Brown University, 182 George Street, Providence, RI 02912, USA;3. Institut Elie-Cartan de Nancy, université Henri-Poincaré, BP 239, 54506 Vandoeuvre-les-Nancy cedex, France |
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| Abstract: | In this Note an improved version of the Schwarz domain decomposition method is introduced for highly heterogeneous media. This method uses new optimized interface conditions specially designed to take into account the heterogeneity between the subdomains on the interfaces. The mathematical analysis of these interface conditions is first presented. Then the asymptotic analysis upon the mesh size parameter together with the heterogeneity ratio is detailed. To cite this article: Y. Maday, F. Magoulès, C. R. Acad. Sci. Paris, Ser. I 341 (2005). |
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