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| HAL: inria-00528523, version 1 |
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| 6th Singular Days on Asymptotic Methods for PDEs, Berlin : Allemagne (2010) |
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| A Transmission Problem in Electromagnetism with a Singular Interface |
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| Gabriel Caloz 1Monique Dauge 1 |
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| (2010-05-01) |
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| 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. |
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| 1: | Institut de Recherche Mathématique de Rennes (IRMAR) |
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CNRS : UMR6625 – Université de Rennes 1 – École normale supérieure de Cachan - ENS Cachan – Institut National des Sciences Appliquées (INSA) : - RENNES – Université de Rennes II - Haute Bretagne |
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| 2: | IPSO (INRIA - IRMAR) |
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CNRS : UMR6074 – INRIA – Université de Rennes 1 |
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| 3: | MC2 (INRIA Bordeaux - Sud-Ouest) |
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INRIA – Université Sciences et Technologies - Bordeaux I – Université Victor Segalen - Bordeaux II – CNRS : UMR |
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| 4: | Institut de Mathématiques de Bordeaux (IMB) |
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CNRS : UMR5251 – Université Sciences et Technologies - Bordeaux I – Université Victor Segalen - Bordeaux II |
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| Domain | : | Mathematics/Numerical Analysis |
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| Attached file list to this document: | |||||
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| inria-00528523, version 1 | |
| http://hal.inria.fr/inria-00528523 | |
| oai:hal.inria.fr:inria-00528523 | |
| From: Victor Péron | |
| Submitted on: Friday, 22 October 2010 19:19:11 | |
| Updated on: Monday, 25 October 2010 13:46:34 | |
