Solving numerically the two-dimensional time harmonic Maxwell problem with sign-changing coefficients
Résumé
We are investigating the numerical solution to the 2D time-harmonic Maxwell equations in the presence of a classical medium and a metamaterial, that is with sign-changing coefficients. As soon as the problem has a unique solution, we are able to build a converging numerical approximation based on the finite element method, for which there is no constraint on the meshes related to the sign-changing behavior. Numerical examples illustrate the theory.
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ChaabanCiarletRihani_2D_EM_with_signchange.pdf (1012.95 Ko)
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