Accelerative technique for projection iterative method and its application on 3-dimensional scattering problems

Abstract

Numerical solutions for electromagnetic integral equations describing scattering from electrically large complex objects continues to be a challenging problem. The classical method of moments (MoM) reduces the integral equations to matrix equations and produces dense linear systems. Since direct solvers for dense systems are impractical for large matrices, iterative methods are usually used. Among various iterative methods, a projection iterative method (PIM) [1] is proven to be convergent as long as MoM coefficient matrix is non-singular. The PIM formulation, its acceleration techniques, and a computed example of dipole array are presented in [1]. PIM is not widely introduced in applied electromagnetics and is worth further investigation.