CIUPERCA, Ionel; PERRUSSEL, Ronan; POIGNARD, Clair

doi:10.1109/TMAG.2010.2044027

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CIUPERCA, Ionel
Institut Camille Jordan [ICJ]

PERRUSSEL, Ronan
Ampère [AMPERE]

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

Langue

Article de revue

Ce document a été publié dans

IEEE Transactions on Magnetics. 2010-07-19, vol. 46, n° 8, p. 2823 - 2826

Institute of Electrical and Electronics Engineers

Résumé en anglais

In this paper, we study the behavior of the steady-state 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 $varepsilon^{alpha}$ -periodic, $varepsilon$ being the small thickness of the layer and $alpha$ is a parameter, that describes the roughness of the layer: if $alpha<1$ the layer is weakly rough, while if $alpha>1$, the layer is very rough. Depending on the roughness of the membrane, the approximate transmission conditions are very different. We present and validate numerically the rigorous approximate transmissions proved by Poignard (Math. Meth. Appl. Sci., vol. 32, pp. 435–453, 2009) and Ciuperca (Research reports INRIA RR-6812 and RR-6975). This paper extends previous works of Perrussel and Poignard (IEEE Trans. Magn., vol. 44, pp. 1154–1157, 2008) in which the layer had a constant thickness.< Réduire

Mots clés en anglais

Asymptotic model

DOI

http://dx.doi.org/10.1109/TMAG.2010.2044027

Project ANR

Nouveaux outils conceptuels pour le calcul scientifique - Applications à l'electromagnétisme - ANR-06-BLAN-0417

Origine

Importé de hal

Unités de recherche

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251