The Discontinuous Galerkin Finite Element Time Domain Method (DGFETD): A High Order, Globally-Explicit Method for Parallel Computation

A discontinuous Galerkin finite-element time-domain method is presented. The method is based on a high-order finite element discretization of Maxwell´s time-dependent curl equations. The global volume is decomposed into contiguous sub-domains of finite-elements with independent function expansions. The fields are coupled across 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.