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.
Document type :
Conference papers
Complete list of metadatas

https://hal.inria.fr/inria-00528527
Contributor : Victor Péron <>
Submitted on : Friday, October 22, 2010 - 7:14:01 PM
Last modification on : Monday, September 9, 2019 - 9:06:02 AM
Long-term archiving on : Sunday, January 23, 2011 - 2:42:08 AM

File

peron.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : inria-00528527, version 1

Citation

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⟩

Share

Metrics

Record views

417

Files downloads

203