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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.
An iterative solution of linear systems is studied, which arises from the discretization of a wire antenna 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 advantages of FEM’s and MoM’s ability. The the resulting 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.