Time domain discontinuous Galerkin method with efficient modelling of boundary conditions for simulations of electromagnetic wave propagation

A 3D discontinuous Galerkin finite element method (DG-FEM) in time domain using high-order local Lagrange polynomials is presented. The modelling of boundary conditions at interfaces to perfect electric conductors (PEC) as well as perfect magnetic conductors (PMC) is described using the numerical flux of a strong DG formulation. A perfectly matched layer (PML) as well as a uniaxial PML is taken into account and demonstrated with two numerical examples.