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

Patrick Ciarlet; Nikolaï Filonov; Simon Labrunie

doi:10.1016/s0764-4442(00)01617-7

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

Titre traduit de la contribution: Un résultat de fermeture pour les équations de Maxwell en géométrie axisymétrique

Patrick Ciarlet
, Nikolaï Filonov
, Simon Labrunie

Saint Petersburg State University
IECN/UHP

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

We study the equivalence of H¹ and H(curl, div) norms for vector fields satisfying an electric or magnetic boundary condition in an axially symmetric domain. We present two approaches, one based on 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 Maxwell's equations.

Titre traduit de la contribution	Un résultat de fermeture pour les équations de Maxwell en géométrie axisymétrique
langue originale	Anglais
Pages (de - à)	293-298
Nombre de pages	6
journal	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume	331
Numéro de publication	4
Les DOIs	https://doi.org/10.1016/s0764-4442(00)01617-7
état	Publié - 15 août 2000

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10.1016/s0764-4442(00)01617-7

Contient cette citation

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

Résumé

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