An improved iterative solution for method of moments problems in electromagnetics

The MoM formulation of Maxwell´s equations leads to a large dense system of complex equations. An efficient approach is presented for the solution of large dense systems of linear equations arising in the integral equation formulation of electromagnetic problems. A three-step process is introduced in which the condition number of the matrix is first improved by equilibration, and then further enhanced by preconditioning. The initial guess for the iterative solution is generated by using an extrapolation technique. It is shown that the proposed approach considerably improves the computational efficiency of iterative solvers, e.g., CGNR and GMRES, even for poorly conditioned MoM matrices with a relatively small number of unknowns.