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Reports (Research Report) Year : 1997

Characterization of the Singular Part of the Solution of Maxwell's Equations in a Polyhedral Domain

Franck Assous
Patrick Ciarlet
Pierre-Arnaud Raviart
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Abstract

The solution of Maxwell's equations in a non-convex polyhedral domain is less regular than in a smooth or convex polyhedral domain. In this paper we show that this solution can be decomposed into the orthogonal sum of a singular part and a regular part, and we give a characterization of the singular part. We also notice that the decomposition is linked to the one associated to the scalar Laplacian.

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Other [cs.OH]
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Dates and versions

inria-00073463 , version 1 (24-05-2006)

Identifiers

  • HAL Id : inria-00073463 , version 1

Cite

Franck Assous, Patrick Ciarlet, Pierre-Arnaud Raviart, Eric Sonnendrücker. Characterization of the Singular Part of the Solution of Maxwell's Equations in a Polyhedral Domain. [Research Report] RR-3226, INRIA. 1997, pp.13. ⟨inria-00073463⟩
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