Affiliation:
1. Laboratoire POEMS, UMR 2706 CNRS/ENSTA/INRIA, École Nationale Supérieure de Techniques Avancées, 32, boulevard Victor, 75739 Paris Cedex 15, France
Abstract
We consider the time-harmonic Maxwell equations, involving wave transmission between media with opposite sign dielectric and/or magnetic coefficients. We prove that, in the case of sign-shifting dielectric coefficients, the space of electric fields is compactly embedded in L2. We build a three-field variational formulation equivalent to Maxwell system for sign-shifting magnetic coefficients and show that, under some suitable conditions, the formulation fits into the coercive plus compact framework.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Modelling and Simulation
Cited by
14 articles.
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