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Titre : |
Two-field and three-field formulations for wave transmission between media with opposite sign dielectric constants |
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Année : |
2007 |
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Type : |
article (revue avec comité de lecture) |
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Auteurs : |
A.-S. Bonnet-BenDhia, P. Ciarlet, C. Zwölf |
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Résumé : |
We consider a simplified scalar model problem related to Maxwell equations, involving wave
transmission between media with opposite sign dielectric constant. We build two variational
formulations equivalent to model problem. We show that, under some suitable conditions,
every formulation is well posed since it fits into the coercive plus compact framework.
Advantages over previous studies is the validity of the formulations
in the general case of Lipschitz interface between the two media and $L^\infty$ dielectric
constant. Moreover the three-field formulation allows to handle a more general set of
equations.
A main interest of these formulations is that they allow a simple finite element numerical
treatement. |
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Thèmes : |
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Référence : |
Journal of Computational and Applied Mathematics - vol. 204 (2 SPEC) (pp 408-417 ) |
