## Abstract This paper is concerned with the structure of the singular and regular parts of the solution of timeβharmonic Maxwell's equations in polygonal plane domains and their effective numerical treatment. The asymptotic behaviour of the solution near corner points of the domain is studied by m
On the nature of longitudinal solutions to Maxwell's equations in the Lorentz gauge
β Scribed by M.W. Evans; F. Farahi
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 719 KB
- Volume
- 300
- Category
- Article
- ISSN
- 0022-2860
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π SIMILAR VOLUMES
## Abstract Let u be a vector field on a bounded Lipschitz domain in β^3^, and let u together with its divergence and curl be square integrable. If either the normal or the tangential component of u is square integrable over the boundary, then u belongs to the Sobolev space __H__^1/2^ on the domain
A widely used approach for the computation of time-harmonic electromagnetic ΓΏelds is based on the wellknown double-curl equation for either E or H, where edge elements are an appealing choice for ΓΏnite element discretizations. Yet, the nullspace of the curl-operator comprises a considerable part of