CALOZ, Gabriel; DAUGE, Monique; FAOU, Erwan; PÉRON, Victor; POIGNARD, Clair

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CALOZ, Gabriel
Institut de Recherche Mathématique de Rennes [IRMAR]

DAUGE, Monique
Institut de Recherche Mathématique de Rennes [IRMAR]

FAOU, Erwan
Institut de Recherche Mathématique de Rennes [IRMAR]
Invariant Preserving SOlvers [IPSO]

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Communication dans un congrès

Este ítem está publicado en

6th Singular Days on Asymptotic Methods for PDEs, 2010-04-29, Berlin. 2010-05-01

Resumen en inglés

We investigate a scalar interface problem originating from a skin effect model in electromagnetism. The problem is posed in a domain made of two materials, dielectric and highly conducting. We focus on the case of a corner interface between the two subdomains. In this context, we present a multi-scale expansion for the solution of the transmission problem at high conductivity. For a smooth interface, boundary layers are present close to the surface of the conductor. For a corner interface, singularities appear in the dielectric part, and generate corner layers in the conducting part. Numerical simulations will be presented. This work is a collaboration with G. Caloz, M. Dauge, E. Faou, and C. Poignard.< Leer menos

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Institut de Mathématiques de Bordeaux (IMB) - UMR 5251