Theoretical tools to solve the axisymmetric Maxwell equations

Abstract : In this paper, the mathematical tools, which are required to solve the axisymmetric Maxwell equations, are presented. An in-depth study of the problems posed in the meridian half-plane, numerical algorithms, as well as numerical experiments, based on the implementation of the theory described hereafter, shall be presented in forthcoming papers. In the present paper, the attention is focused on the (orthogonal) splitting of the electromagnetic field in a regular part and a singular part, the former being in the Sobolev space H-1 component-wise. It is proven that the singular fields are related to singularities of Laplace-like operators, and, as a consequence, that the space of singular fields is finite dimensional. Copyright (C) 2002 John Wiley Sons, Ltd.
Type de document :
Article dans une revue
Mathematical Methods in the Applied Sciences, Wiley, 2002, 25 (1), pp.49-78. <10.1002/mma.279>
Liste complète des métadonnées

https://hal-ensta.archives-ouvertes.fr/hal-00878222
Contributeur : Aurélien Arnoux <>
Soumis le : lundi 4 novembre 2013 - 13:47:30
Dernière modification le : mercredi 15 mars 2017 - 12:13:32

Identifiants

Citation

Franck Assous, Patrick Ciarlet, Simon Labrunie. Theoretical tools to solve the axisymmetric Maxwell equations. Mathematical Methods in the Applied Sciences, Wiley, 2002, 25 (1), pp.49-78. <10.1002/mma.279>. <hal-00878222>

Partager

Métriques

Consultations de la notice

285