Nitsche-type Mortaring for Maxwell's Equations

摘要

We propose a new method for treating transmission conditions on non-matching meshes. The basic method is a hybrid version of Nitsche's method. By introducing a scalar potential on the interface we obtain a robust method for the low frequency limit. In order to simplify numerical integration, we use smooth B-spline basis functions on the interface. We present the formulation for scalar potential problems and for time-harmonic Maxwell's equations. A simple well logging example is used to benchmark the algorithm.