Thin Layer Models For Electromagnetism
| hal.structure.identifier | Advanced 3D Numerical Modeling in Geophysics [Magique 3D] | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | DURUFLÉ, Marc | |
| hal.structure.identifier | Advanced 3D Numerical Modeling in Geophysics [Magique 3D] | |
| hal.structure.identifier | Laboratoire de Mathématiques et de leurs Applications [Pau] [LMAP] | |
| dc.contributor.author | PÉRON, Victor | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | Modélisation, contrôle et calcul [MC2] | |
| dc.contributor.author | POIGNARD, Clair | |
| dc.date.created | 2013 | |
| dc.date.issued | 2014 | |
| dc.identifier.issn | 1815-2406 | |
| dc.description.abstractEn | 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. | |
| dc.description.sponsorship | Modélisation multi-échelle de l'électroporation validée par les expériences - ANR-11-BS01-0006 | |
| dc.language.iso | en | |
| dc.publisher | Global Science Press | |
| dc.subject.en | asymptotics | |
| dc.subject.en | time-harmonic Maxwell's equations | |
| dc.subject.en | Finite Element Method | |
| dc.subject.en | Edge Elements | |
| dc.title.en | Thin Layer Models For Electromagnetism | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.4208/cicp.120813.100114a | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| bordeaux.journal | Communications in Computational Physics | |
| bordeaux.page | 213-238 | |
| bordeaux.volume | 16 | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00918634 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00918634v1 | |
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