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Time-harmonic Maxwell equations in biological cells. The differential form formalism to treat the thin layer

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierParallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS]
dc.contributor.authorDURUFLÉ, Marc
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierAdvanced 3D Numerical Modeling in Geophysics [Magique 3D]
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.created2010
dc.date.issued2011
dc.identifier.issn1793-7442
dc.description.abstractEnWe study the behavior of the electromagnetic field in a biological cell modelled 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 the first order conditions in a simple way, and numerical simulations validate the theoretical results. Asymptotic transmission conditions at any order are given in the last section of the paper.
dc.language.isoen
dc.publisherInstitut Camille Jordan et Unité de Mathématiques Pures et Appliquées
dc.subject.enasymptotic expansion
dc.subject.entime-harmonic Maxwell's equations
dc.subject.endifferential forms on manifolds
dc.subject.enfinite element method
dc.subject.enedge elements
dc.title.enTime-harmonic Maxwell equations in biological cells. The differential form formalism to treat the thin layer
dc.typeArticle de revue
dc.identifier.doi10.1142/S1793744211000345
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
bordeaux.journalConfluentes Mathematici
bordeaux.page325-357
bordeaux.volume3
bordeaux.issue2
bordeaux.peerReviewedoui
hal.identifierhal-00651510
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00651510v1
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