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- Title:
Characterization of the singular part of the solution of Maxwell's equations in a polyhedral domain
- Document type:
- Zeitschriftenaufsatz
- Author(s):
- 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.
- Keywords:
- Maxwell's equations, polyhedral domains, corner singularities
- Journal title:
- Mathematical Methods in the Applied Sciences
- Year:
- 1999
- Journal volume:
- 22
- Journal issue:
- 6
- Pages contribution:
- 485-499
- Fulltext / 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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