Efficient analysis of large dense method of moments matrices

An efficient technique for the solution of large-scale electromagnetic radiation and scattering problems arising from the surface integral equations and the method of moments is developed. The conventional MoM basis and testing functions are used to discretize the integral equations resulting in a dense impedance matrix. A wavelet transform is employed in a new block partitioning strategy to sparsify the matrix. Full advantage is then taken of the sparse nature of the mathematical model to solve the system of equations by the means of the recently introduced stabilized biconjugate gradient method, Bi-CGSTAB(l). Numerical results of scattering problems are presented while a comparison is made with the results obtained from direct solution (LU decomposition) of the original MoM matrix. Excellent results are obtained, illustrating the effectiveness and efficiency of the proposed technique.