A result of closedness for Maxwell's equations in an axisymmetric domain

Authors
Ciarlet, P Filonov, N Labrunie, S
Citation
P. Ciarlet et al., A result of closedness for Maxwell's equations in an axisymmetric domain, CR AC S I, 331(4), 2000, pp. 293-298
Citations number
7
Categorie Soggetti
Mathematics
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN journal
07644442 → ACNP
Volume
331
Issue
4
Year of publication
2000
Pages
293 - 298
Database
ISI
SICI code
0764-4442(20000815)331:4<293:AROCFM>2.0.ZU;2-5
Abstract
We study the equivalence of H-1 and H(curl, div) norms for vector fields sa tisfying an electric or magnetic boundary condition in an axially symmetric domain. We present two approaches, one based oil elementary analytic tools , the other on the results known for the Laplacian. This result, valid for almost all axisymmetric domains, is used in the numerical resolution of Max well's equations. (C) 2000 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.