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The Discontinuous Galerkin Finite-Element TimeDomain method is presented. The method is based on a highorder finite element discretization of Maxwell's time-dependent curl equations. The mesh is decomposed into contiguous subdomains of finite-elements with independent function expansions. The fields are coupled across the sub-domain boundaries by enforcing the tangential field continuity. This leads to a locally implicit, globally explicit difference operator that provides an efficient high-order accurate time-dependent solution.An efficient implementation of the perfectly matched layer media boundary truncation is also presented that allows general tetrahedral meshing through the PML region.

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In a previous paper

TwoJinite-direrence time-domain (FDTD) algorithms for computing scattered electromagnetic fields are compared. The Yee algorithm [IJ is compared to a characteristic-based algorithm [2] using a simple twodimensional geometry.The scattered Jields cf a conducting strip given an incident transverse magneticshort-duration Gaussian pulse are computed using both algorithms. The characteristics qf the scattered fields are compared.