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Journal Articles European Journal of Applied Mathematics Year : 2010

Approximate Transmission Conditions through a rough thin layer. The case of the periodic roughness

Abstract

We study the behavior of the steady-state voltage potentials in a material composed by a bidimensional medium surrounded by a rough thin layer and embedded in an ambient medium. The roughness of the layer is supposed to be $\eps$--periodic, $\eps$ beeing the small thickness of the layer. We build approximate transmission conditions in order to replace the rough thin layer by these conditions on the boundary of the interior material. This paper extends previous works of the third author, in which the layer had constant or weakly oscillating thickness.
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Dates and versions

inria-00356124 , version 1 (26-01-2009)
inria-00356124 , version 2 (22-04-2009)

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Ionel Ciuperca, Mohammed Jai, Clair Poignard. Approximate Transmission Conditions through a rough thin layer. The case of the periodic roughness. European Journal of Applied Mathematics, 2010, 21 (1), pp.51-75. ⟨10.1017/S095679250999012X⟩. ⟨inria-00356124v2⟩
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