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# Influence of a rough thin layer on the steady-state potential

4 MC2 - Modélisation, contrôle et calcul
CNRS - Centre National de la Recherche Scientifique : UMR5251, UB - Université de Bordeaux, Inria Bordeaux - Sud-Ouest
Abstract : In this paper, we study the behavior of the steady-state voltage potentials in a material composed by an interior medium surrounded by a rough thin layer and embedded in an ambient bounded medium. The roughness of the layer is supposed to be $\eps$--periodic, $\eps$ being the small thickness of the layer. We present and validate numerically the rigorous approximate transmissions proved by Ciuperca, Jai and Poignard. This paper extends previous works in which the layer had a constant thickness.
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Cited literature [6 references]

https://hal.inria.fr/inria-00384198
Contributor : Clair Poignard <>
Submitted on : Thursday, August 6, 2009 - 11:51:13 AM
Last modification on : Tuesday, March 30, 2021 - 4:20:03 PM
Long-term archiving on: : Wednesday, September 22, 2010 - 12:56:37 PM

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RR-6935.pdf
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• HAL Id : inria-00384198, version 2

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Ionel Sorin Ciuperca, Ronan Perrussel, Clair Poignard. Influence of a rough thin layer on the steady-state potential. [Research Report] RR-6935, INRIA. 2009, pp.11. ⟨inria-00384198v2⟩

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