Non-Conforming Nitsche Interfaces for Edge Elements in curl-curl Type Problems

In this article, a methodology to incorporate non-conforming interfaces between several conforming mesh regions is presented for Maxwell's curl-curl problem. The derivation starts from a general interior penalty discontinuous Galerkin formulation of the curl-curl problem and eliminates all interior jumps in the conforming parts but retains them across non-conforming interfaces. Therefore, it is possible to think of this Nitsche approach for interfaces as a specialization of discontinuous Galerkin on meshes, which are conforming nearly everywhere. The applicability of this approach is demonstrated in two numerical examples, including parameter jumps at the interface. A convergence study is performed for h-refinement, including the investigation of the penalization- (Nitsche-) parameter.