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inria-00073463, version 1

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

Franck Assous, Patrick Ciarlet, Pierre-Arnaud Raviart, Eric Sonnendrücker 1

N° RR-3226 (1997)

Résumé : 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.

  • 1 :  NUMATH (INRIA Lorraine)
  • INRIA
  • Domaine : Informatique/Autre
  • Mots-clés : Maxwell's equations – polyhedral domains – corner singularities
  • Référence interne : RR-3226
 
  • inria-00073463, version 1
  • http://hal.inria.fr/inria-00073463
  • oai:hal.inria.fr:inria-00073463
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  • Soumis le : Mercredi 24 Mai 2006, 12:55:33
  • Dernière modification le : Mercredi 14 Mars 2007, 08:52:42