A Transmission Problem in Electromagnetism with a Singular Interface
FAOU, Erwan
Institut de Recherche Mathématique de Rennes [IRMAR]
Invariant Preserving SOlvers [IPSO]
See more >
Institut de Recherche Mathématique de Rennes [IRMAR]
Invariant Preserving SOlvers [IPSO]
FAOU, Erwan
Institut de Recherche Mathématique de Rennes [IRMAR]
Invariant Preserving SOlvers [IPSO]
< Reduce
Institut de Recherche Mathématique de Rennes [IRMAR]
Invariant Preserving SOlvers [IPSO]
Language
en
Communication dans un congrès
This item was published in
6th Singular Days on Asymptotic Methods for PDEs, 2010-04-29, Berlin. 2010-05-01
English Abstract
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 ...Read more >
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.Read less <
Origin
Hal imported