DURUFLÉ, Marc; PÉRON, Victor; POIGNARD, Clair

doi:10.4208/cicp.120813.100114a

Métadonnées

Licence d’utilisation du document

DURUFLÉ, Marc
Advanced 3D Numerical Modeling in Geophysics [Magique 3D]
Institut de Mathématiques de Bordeaux [IMB]

PÉRON, Victor
Advanced 3D Numerical Modeling in Geophysics [Magique 3D]
Laboratoire de Mathématiques et de leurs Applications [Pau] [LMAP]

POIGNARD, Clair
Institut de Mathématiques de Bordeaux [IMB]
Modélisation, contrôle et calcul [MC2]

Langue

Article de revue

Ce document a été publié dans

Communications in Computational Physics. 2014, vol. 16, p. 213-238

Global Science Press

Résumé en anglais

We present a review on the accuracy of asymptotic models for the scattering problem of electromagnetic waves in domains with thin layer. These models appear as first order approximations of the electromagnetic field. They are obtained thanks to a multiscale expansion of the exact solution with respect to the thickness of the thin layer, that makes possible to replace the thin layer by approximate conditions. We present the advantages and the drawbacks of several approximations together with numerical validations and simulations. The main motivation of this work concerns the computation of electromagnetic field in biological cells. The main difficulty to compute the local electric field lies in the thinness of the membrane and in the high contrast between the electrical conductivities of the cytoplasm and of the membrane, which provides a specific behavior of the electromagnetic field at low frequencies.< Réduire

Mots clés en anglais

asymptotics

time-harmonic Maxwell's equations

Finite Element Method

Edge Elements

DOI

http://dx.doi.org/10.4208/cicp.120813.100114a

Project ANR

Modélisation multi-échelle de l'électroporation validée par les expériences - ANR-11-BS01-0006

Origine

Importé de hal

Unités de recherche

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251