A Singular Field Method for the Solution of Maxwell's Equations in Polyhedral Domains
β Scribed by Anne-Sophie Bonnet-Ben Dhia, Christophe Hazard and Stephanie Lohrengel
- Book ID
- 121417784
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1999
- Tongue
- English
- Weight
- 403 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0036-1399
- DOI
- 10.2307/118414
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π SIMILAR VOLUMES
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
In this paper, we present a method to solve numerically the time-dependent Maxwell equations in nonsmooth and nonconvex domains. Indeed, the solution is not of regularity H 1 (in space) in general. Moreover, the space of H 1 -regular fields is not dense in the space of solutions. Thus an H 1 -confor
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