Abstract
A technique for applying the impedance matrix localization (IML) method in conjunction with the fast multipole method (FMM), termed the hybrid IML‐FMM, is presented. This technique significantly reduces the matrix‐vector multiplication time in the iterative solution of the method of moment equations arising from the integral‐equation‐based analysis of two‐dimensional electromagnetic scattering phenomena. The reduction in computational time is accomplished through an IML‐based sparsification of the FMM far‐field transformation matrices. Numerical experiments illustrate the effect of various IML‐FMM truncation parameters on the sparsity obtainable, the corresponding reduction in matrix‐vector multiplication time, and the solution accuracy.
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