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Approximate Transmission Conditions for the Laplacian in a High Contrast Medium with a Thin Layer. The Influence of the Curvature.

Ronan Perrussel 1 Clair Poignard 2, 3, * 
* Corresponding author
2 MC2 - Modélisation, contrôle et calcul
Inria Bordeaux - Sud-Ouest, UB - Université de Bordeaux, CNRS - Centre National de la Recherche Scientifique : UMR5251
Abstract : We study the steady state potential in high contrast media with resistive or conductive thin layer. In both cases equivalent transmission conditions are given and the influence of the curvature is explicitly notified unlike the weak contrast media. The method used to derive the effective transmission conditions has been extensively described previously. We refer to [3] for the original paper and to [5], [4] for a more general description. It consists in a suitable change of variable in the thin layer in order to make appear the
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https://hal.inria.fr/inria-00442381
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Submitted on : Monday, December 21, 2009 - 9:53:31 AM
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Ronan Perrussel, Clair Poignard. Approximate Transmission Conditions for the Laplacian in a High Contrast Medium with a Thin Layer. The Influence of the Curvature.. WAVES2009, the 9th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Jun 2009, Pau, France. ⟨inria-00442381⟩

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