A Transmission Problem in Electromagnetism with a Singular Interface
Résumé
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.
Domaines
Analyse numérique [math.NA]| Origine | Fichiers produits par l'(les) auteur(s) |
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