hp Analysis of Nitsche’s method for Maxwell’s problem using a stabilised finite element formulation

The paper presents an hp analysis of Nitsche’s method applied to Maxwell’s problem using a stabilised finite element (FE) formulation. While the FE formulation and the weak imposition of Dirichlet boundary conditions have been previously explored, the novelty of this work lies in the hp mesh refinement analysis, examining the method’s behaviour as both the mesh size h decreases and the polynomial order p increases. The study specifically aims to adapt previous analyses to account for these refinements and to highlight a slight lack of optimality in p that is intrinsic to Nitsche’s method.