Domain Decomposition Methods for Time-Harmonic Maxwell Equations: Numerical Results

Abstract

We present a series of numerical results illustrating the performance of some non-overlapping domain decomposition algorithms for time-harmonic Maxwell equations in different physical situations. For the full-Maxwell equations with damping we consider the well-known Dirichlet/Neumann and Neumann/Neumann methods. Numerical evidence will show that both schemes are convergent with a rate independent of the mesh size. For the low-frequency model in a conductor, we consider again the Dirichlet/Neumann and the Neumann/Neumann algorithms. Both methods turn out to be efficient and robust. Finally, for the eddy-current problem, we implement an iterative procedure coupling a scalar problem in the insulator and a vector problem in the conductor.