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| (1) | Centre de Mathematiques Appliquees - CNRS URA 756 Ecole Polytechnique, 91128 Palaiseau Cedex, France. IMACS - Ingenierie Mathematiques et Calcul Scientifique Ecole Polytechnique, 91128 Palaiseau Cedex, France. |
| (2) | IMACS - Ingenierie Mathematiques et Calcul Scientifique Ecole Polytechnique, 91128 Palaiseau Cedex, France. |
Abstract : We are interested in the coupling of volumic Maxwell's equations and boundary integral equations for locally heterogeneous media in ${R}^3$. We present two different variational formulations. Coerciveness properties are proven. That leads to existence, uniqueness and stability results. Finally, we discuss the practical influence of interior eigenvalues on the results.
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