Asymptotic expansions and domain decomposition

Abstract : We apply the domain decomposition method to linear elasticity problems for multi-materials where the heterogeneities are concentrated in a thin internal layer. In the first case the heterogeneities are small, identical and periodically distributed on an internal surface and in the second one all the thin, curved internal layer is made of an elastic material much more strong than the surrounding one. In the first case the domain decomposition is used to efficiently solve the non-standard transmission problems obtained by the asymptotic expansion method. In the second case a non-standard membrane transmission problem originates from a surface shell like energy.
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Giuseppe Geymonat, Sofiane Hendili, Françoise Krasucki, Michèle Serpilli, Marina Vidrascu. Asymptotic expansions and domain decomposition. 21st International Conference on Domain Decomposition Methods, Inria Rennes, Jun 2012, Rennes, France. ⟨hal-00794531⟩

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