Approximate transmission conditions for time-harmonic Maxwell equations in a domain with thin layer
| hal.structure.identifier | Institut de Recherche Mathématique de Rennes [IRMAR] | |
| 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 | 2008 | |
| dc.description.abstractEn | 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. | |
| dc.language.iso | en | |
| dc.title.en | Approximate transmission conditions for time-harmonic Maxwell equations in a domain with thin layer | |
| dc.type | Rapport | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| bordeaux.page | 37 | |
| bordeaux.type.institution | INRIA | |
| bordeaux.type.report | rr | |
| hal.identifier | inria-00347971 | |
| hal.version | 1 | |
| hal.audience | Non spécifiée | |
| hal.origin.link | https://hal.archives-ouvertes.fr//inria-00347971v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2008&rft.spage=37&rft.epage=37&rft.au=P%C3%89RON,%20Victor&POIGNARD,%20Clair&rft.genre=unknown |
Fichier(s) constituant ce document
| Fichiers | Taille | Format | Vue |
|---|---|---|---|
|
Il n'y a pas de fichiers associés à ce document. |
|||