CIUPERCA, Ionel Sorin; PERRUSSEL, Ronan; POIGNARD, Clair

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CIUPERCA, Ionel Sorin
Institut Camille Jordan [ICJ]

PERRUSSEL, Ronan
Institut Camille Jordan [ICJ]
Centre de génie électrique de Lyon [CEGELY]
Ampère [AMPERE]

POIGNARD, Clair
Modélisation, contrôle et calcul [MC2]
Institut de Mathématiques de Bordeaux [IMB]

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Este ítem está publicado en

2009p. 11

Resumen en inglés

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.< Leer menos

Palabras clave en inglés

Asymptotic analysis

Finite Element Method

Laplace equations

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Institut de Mathématiques de Bordeaux (IMB) - UMR 5251