Singularités électromagnétiques: Une approche inductive

Franck Assous; Patrick Ciarlet; Emmanuelle Garcia

doi:10.1016/j.crma.2005.09.034

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 journal › Article › peer-review

12 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 contribution	Singular electromagnetic fields: Inductive approach
Original language	French
Pages (from-to)	605-610
Number of pages	6
Journal	Comptes Rendus Mathematique
Volume	341
Issue number	10
DOIs	https://doi.org/10.1016/j.crma.2005.09.034
State	Published - 15 Nov 2005
Externally published	Yes

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10.1016/j.crma.2005.09.034

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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.",

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Singularités électromagnétiques: Une approche inductive

Abstract

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