CALOZ, Gabriel; DAUGE, Monique; FAOU, Erwan; PÉRON, Victor

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CALOZ, Gabriel
Institut de Recherche Mathématique de Rennes [IRMAR]

DAUGE, Monique
Institut de Recherche Mathématique de Rennes [IRMAR]

FAOU, Erwan
Institut de Recherche Mathématique de Rennes [IRMAR]
Invariant Preserving SOlvers [IPSO]

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WONAPDE 2010 Third Chilean Workshop on Numerical Analysis of Partial Differential Equations, 2010-01-15, Concepcion. 2010-01-15

Resumen en inglés

We study a three-dimensional model for the skin effect in electromagnetism. The 3-D case of the Maxwell equations in harmonic regime on a domain composed of a dielectric and of a highly conducting material is considered. We derive an asymptotic expansion with respect to a small parameter related to high conductivity. This expansion is theoretically justified at any order. The asymptotic expansion and numerical simulations in axisymmetric geometry exhibit the influence of the geometry of the interface on the skin effect.< Leer menos

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Institut de Mathématiques de Bordeaux (IMB) - UMR 5251