A two level domain decomposition preconditioner based on local Dirichlet-to-Neumann maps |
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| Authors: | Frédéric Nataf Hua Xiang Victorita Dolean |
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| Institution: | 1. UPMC Université Paris-06, UMR 7598, Laboratoire J.L. Lions, 75005 Paris, France;2. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, P.R. China;3. Laboratoire J.-A. Dieudonné, UMR 6621, Université de Nice-Sophia Antipolis, 06108 Nice cedex 02, France |
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| Abstract: | Coarse grid correction is a key ingredient in order to have scalable domain decomposition methods. In this Note we construct the coarse grid space using the low frequency modes of the subdomain DtN (Dirichlet–Neumann) maps, and apply the obtained two-level preconditioner to the linear system arising from an overlapping domain decomposition. Our method is suitable for the parallel implementation and its efficiency is demonstrated by numerical examples on problems with high heterogeneities. |
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