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Skin Effect Description in Electromagnetism with a Multiscaled Asymptotic Expansion

Gabriel Caloz 1 Monique Dauge 1 Erwan Faou 1, 2 Victor Péron 1 
2 IPSO - Invariant Preserving SOlvers
IRMAR - Institut de Recherche Mathématique de Rennes, Inria Rennes – Bretagne Atlantique
Abstract : We study a transmission problem in high contrast media. The three-dimensional 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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Contributor : Victor Péron Connect in order to contact the contributor
Submitted on : Friday, October 22, 2010 - 7:14:01 PM
Last modification on : Friday, May 20, 2022 - 9:04:52 AM
Long-term archiving on: : Sunday, January 23, 2011 - 2:42:08 AM


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  • HAL Id : inria-00528527, version 1


Gabriel Caloz, Monique Dauge, Erwan Faou, Victor Péron. Skin Effect Description in Electromagnetism with a Multiscaled Asymptotic Expansion. Asymptotic methods, mechanics and other applications, Aug 2009, Rennes, France. ⟨inria-00528527⟩



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