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This paper is devoted to the numerical validation of an explicitfinite-difference scheme for the integration in time of Maxwell's equations interms of the sole electric field, using standard linear finite elements for thespace discretization. The rigorous reliability analysis of this numerical modelwas the object of another authors' arXiv paper. More specifically such a studyapplies to the particular case where the electric permittivity has a constantvalue outside a sub-domain, whose closure does not intersect the boundary ofthe domain where the problem is defined. Our numerical experiments intwo-dimension space certify that the convergence results previously derived forthis approach are optimal, as long as the underlying CFL condition issatisfied.

Numerical validation of an explicit P1 finite-element scheme for Maxwell's equations in a polygon with variable permittivity away from its boundary