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

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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Rapport
[Research Report] RR-3226, INRIA. 1997, pp.13
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Soumis le : mercredi 24 mai 2006 - 12:55:33
Dernière modification le : samedi 17 septembre 2016 - 01:06:54
Document(s) archivé(s) le : dimanche 4 avril 2010 - 23:47:27

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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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