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| HAL: inria-00347971, version 1 |
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| Available versions | v1 (2008-12-17) | v2 (2008-12-17) | v3 (2009-09-14) |
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| Approximate transmission conditions for time-harmonic Maxwell equations in a domain with thin layer |
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Victor Péron 1Clair Poignard 2 |
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| (2008) |
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| We study the behavior of the electromagnetic field in a biological cell modelized by a medium surrounded by a thin layer and embedded in an ambient medium. We derive approximate transmission conditions in order to replace the membrane by these conditions on the boundary of the interior domain. Our approach is essentially geometric and based on a suitable change of variables in the thin layer. Few notions of differential calculus are given in order to obtain our asymptotic conditions in a simple way. This paper extends to time-harmonic Maxwell equations the previous works of C.Poignard. Asymptotic transmission conditions at any order are given in Appendix~1. |
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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: | 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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| Domain | : | Mathematics/Analysis of PDEs |
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| inria-00347971, version 1 | |
| http://hal.inria.fr/inria-00347971 | |
| oai:hal.inria.fr:inria-00347971 | |
| From: Clair Poignard | |
| Submitted on: Wednesday, 17 December 2008 19:41:21 | |
| Updated on: Wednesday, 17 December 2008 19:41:21 | |
