Improved Interface Conditions for 2<Emphasis Type="Italic">D</Emphasis> Domain Decomposition with Corners: Numerical Applications |
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| Authors: | Chokri Chniti Frédéric Nataf Francis Nier |
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| Affiliation: | (1) CMAP, UMR CNRS 7641, Ecole Polytechnique, 91128 Palaiseau Cedex, France;(2) Laboratoire Jacques-Louis Lions, UMR CNRS 7598, 75252 Paris, Cedex 05, France;(3) IRMAR, UMR CNRS 6625, Université de Rennes I, Campus de Beaulieu, 35042 Rennes Cedex, France |
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| Abstract: | This article deals with a local improvement of domain decomposition methods for 2-dimensional elliptic problems for which
either the geometry or the domain decomposition presents conical singularities. After explaining the main results of the theoretical
analysis carried out in Chniti et al. (Calcolo 45, 2008), the numerical experiments presented in this article confirm the optimality properties of the new interface conditions. |
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| Keywords: | Domain decomposition method Corner singularity Kondratiev theory |
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