A Two-Level Preconditioning Technique for Wire Antennas Attached with Dielectric Objects

An iterative solution of linear systems is studied, which arises from the discretization of a wire antennas attached with dielectric objects by the hybrid finite-element method and the method of moment (hybrid FEM-MoM). It is efficient to model such electromagnetic problems by hybrid FEM-MoM, since it takes both the advantages of FEM's and MoM's ability. But the resulted linear systems are complicated, and it is hard to be solved by Krylov subspace methods alone, so a two-level preconditioning technique will be studied and applied to accelerate the convergence rate of the Krylov subspace methods. Numerical results show the effectiveness of the proposed two-level preconditioning technique.