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Characterization of the singular part of the solution of Maxwell's equations in a polyhedral domain

✍ Scribed by F. Assous; P. Ciarlet Jr.; Prof. Dr. P.-A. Raviart; E. Sonnendrücker

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
138 KB
Volume
22
Category
Article
ISSN
0170-4214

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✦ Synopsis

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 prove that the decomposition is linked to the one associated to the scalar Laplacian.

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