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Titel:

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

Dokumenttyp:
Zeitschriftenaufsatz
Autor(en):
Assous, F.; Ciarlet Jr., P.; Raviart, P.-A.; Sonnendr`̀ucker, E.
Abstract:
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 prove that the decomposition is linked to the one associated to the scalar Laplacian.
Stichworte:
Maxwell's equations, polyhedral domains, corner singularities
Zeitschriftentitel:
Mathematical Methods in the Applied Sciences
Jahr:
1999
Band / Volume:
22
Heft / Issue:
6
Seitenangaben Beitrag:
485-499
Volltext / DOI:
doi:https://doi.org/10.1002/(SICI)1099-1476(199904)22:6<485::AID-MMA46>3.0.CO;2-E
WWW:
https://onlinelibrary.wiley.com/doi/abs/10.1002/(SICI)1099-1476(199904)22:6<485::AID-MMA46>3.0.CO;2-E
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