Computing Maxwell eigenvalues by using higher order edge elements in three dimensions

We use recently proposed hierarchic basis functions and a tetrahedral partitioning to compute Maxwell eigenvalues on a bounded polygonal domain in R³, using a p-version finite-element procedure based on edge elements. The problem formulation requires a set of basis functions that are H(curl)-conforming and another compatible set that is H¹-conforming. In this preliminary study, we employ a uniform order of approximation throughout the domain.