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hal.structure.identifierInstitut de Recherche Mathématique de Rennes [IRMAR]
dc.contributor.authorPÉRON, Victor
hal.structure.identifierModélisation, contrôle et calcul [MC2]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorPOIGNARD, Clair
dc.date.issued2008
dc.description.abstractEnWe 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.isoen
dc.title.enApproximate transmission conditions for time-harmonic Maxwell equations in a domain with thin layer
dc.typeRapport
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
bordeaux.page37
bordeaux.type.institutionINRIA
bordeaux.type.reportrr
hal.identifierinria-00347971
hal.version1
hal.audienceNon spécifiée
hal.origin.linkhttps://hal.archives-ouvertes.fr//inria-00347971v1
bordeaux.COinSctx_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


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