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- Dokumenttyp:
- Zeitschriftenaufsatz
- Autor(en):
- Assous, F.; Ciarlet Jr., P.; Raviart, P.-A.; Sonnendr`̀ucker, E.
- Titel:
- Characterization of the singular part of the solution of Maxwell's equations in a polyhedral domain
- 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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