A Finite Element Domain Decomposition Preconditioner for Time-Harmonic Electromagnetics

We present a preconditioned iterative method for the finite element (FE) solution of time-harmonic electromag-netic radiation and scattering problems. The method is a type of non-overlapping domain decomposition (DD) method and provides a computationally efficient and effective preconditioner for the indefinite matrix equation arising from the FE method. The absence of auxiliary variables in the formulation and the method’s application to arbitrary de-compositions of a tetrahedral mesh differentiate it from previous DD methods. Numerical results demonstrate that the method is as accurate as the conventional FE method and large-scale simulations are performed to study performance. 1