A Transmission Problem in Electromagnetism with a Singular Interface
| hal.structure.identifier | Institut de Recherche Mathématique de Rennes [IRMAR] | |
| dc.contributor.author | CALOZ, Gabriel | |
| hal.structure.identifier | Institut de Recherche Mathématique de Rennes [IRMAR] | |
| dc.contributor.author | DAUGE, Monique | |
| hal.structure.identifier | Institut de Recherche Mathématique de Rennes [IRMAR] | |
| hal.structure.identifier | Invariant Preserving SOlvers [IPSO] | |
| dc.contributor.author | FAOU, Erwan | |
| hal.structure.identifier | Modélisation, contrôle et calcul [MC2] | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | PÉRON, Victor | |
| hal.structure.identifier | Modélisation, contrôle et calcul [MC2] | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | POIGNARD, Clair | |
| dc.date.issued | 2010-05-01 | |
| dc.date.conference | 2010-04-29 | |
| dc.description.abstractEn | 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. | |
| dc.language.iso | en | |
| dc.title.en | A Transmission Problem in Electromagnetism with a Singular Interface | |
| dc.type | Communication dans un congrès | |
| dc.subject.hal | Mathématiques [math]/Analyse numérique [math.NA] | |
| bordeaux.conference.title | 6th Singular Days on Asymptotic Methods for PDEs | |
| bordeaux.country | DE | |
| bordeaux.conference.city | Berlin | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | inria-00528523 | |
| hal.version | 1 | |
| hal.invited | oui | |
| hal.proceedings | oui | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//inria-00528523v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2010-05-01&rft.au=CALOZ,%20Gabriel&DAUGE,%20Monique&FAOU,%20Erwan&P%C3%89RON,%20Victor&POIGNARD,%20Clair&rft.genre=unknown |
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