Singularités électromagnétiques: Une approche inductive

Translated title of the contribution: Singular electromagnetic fields: Inductive approach

Franck Assous, Patrick Ciarlet, Emmanuelle Garcia

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

In a non-convex polyhedral domain, we describe the local trace (i.e. defined on a face) of the normal derivative of an L2 function, with L2 Laplacian. We then provide generalized integration by parts formulae for the Laplace, divergence and curl operators. Finally, these results allow us to split electromagnetic fields into regular and singular parts, which can be characterized.

Translated title of the contributionSingular electromagnetic fields: Inductive approach
Original languageFrench
Pages (from-to)605-610
Number of pages6
JournalComptes Rendus Mathematique
Volume341
Issue number10
DOIs
StatePublished - 15 Nov 2005
Externally publishedYes

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