The Discontinuous Galerkin Finite Element Time Domain method (DGFETD)

The discontinuous Galerkin finite-element time-domain method is presented. The method is based on a high-order finite element discretization of Maxwellpsilas time-dependent curl equations. The mesh is decomposed into contiguous sub-domains 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.