Skin-Effect Description in Electromagnetism with a Scaled Asymptotic Expansion

Abstract : We study a transmission problem in high contrast media. The 3D case of the Maxwell equations in harmonic regime 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. Numerical simulations in axisymmetric geometry highlight the skin effect and the expansion accuracy.
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Victor Péron, Gabriel Caloz, Monique Dauge. Skin-Effect Description in Electromagnetism with a Scaled Asymptotic Expansion. WAVES 2009 The 9th International Conference on Mathematical and Numerical Aspects of Waves Propagation, Jun 2009, Pau, France. ⟨inria-00528514⟩

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