A hybrid discontinuous Galerkin-vector generalized finite element method for electromagnetics

In this paper, we present development of a hybrid discontinuous Galerkin-vector generalized finite element method (DG-VGFEM) to exploit advantages of both methods for frequency domain electromagnetic (EM) simulations. The mathematical framework of VGFEM permits the use of different types of basis functions or mixed polynomial orders within a simulation. Likewise, discontinuous Galerkin (DG) method enables handling of multi-material problems, flexibility in the mesh, and parallelization. These appealing features are exploited in this hybrid method to get better approximation, and perhaps, more efficient simulations of EM fields. The results presented demonstrate -h and -p convergences of the method as well as applications to some realistic problems.