Discontinuous Galerkin, applied to time-dependent Maxwell equations (DGTD), offers attractive properties when compared to other numerical methods. This method is flexible and accurate, like the finite element method, and efficient as well as scalable like finite-difference time-domain algorithms. In this letter, a new rigorous treatment of anisotropic materials in three dimensions is described and validated for the upwind-flux DGTD method.
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Alvarez et al. (2012) studied this question.
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