Application of Moment Iteration Method (MIM) to Electromagnetic Field Computation

摘要

The well-known method of moments is transformed into a very general iterational form called moment iteration method (MIM), which can be applied problems involving large or complicated bodies. It is shown that other iterational methods applied in the literature can be conceived as special cases of MIM. The convergence of MIM is not automatical, but is obtained through acceptance of only such iterational steps which reduce the residual norm. The generality of the method gives possibilities for different strategies of computation. Two examples are considered with two different strategies: one applying zooming expansion functions whose scale decreases during the iteration process, the other one applying statistical method of choosing the expansion functions. Since MIM does not involve orthogonalization processes for chosen expansion functions, the method is simpler and suitable to small computers for which the computing time requirement is not of prime importance.