Solution of the time-harmonic Maxwell equations using discontinuous Galerkin methods

This work is concerned with the numerical solution of the time-harmonic Maxwell equations discretized by discontinuous Galerkin methods on unstructured meshes. Our motivation for using a discontinuous Galerkin method is the enhanced flexibility compared to the conforming edge element method [12]: for instance, dealing with non-conforming meshes is straightforward and the choice of the local approximation space is not constrained. Nonetheless, before taking full advantage of these features, it is required to carefully study the basic ingredients of the method such as the choice of the numerical flux at the interface between neighboring elements. In the context of time-harmonic