Application of Moment Iteration Method (MIM) to electromagnetic field computation
Abstract
The well known method of moments is transformed into a very general iterational form called moment iteration method (MIM), which can be applied to 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 automatic, but it 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 choosen expansion functions, the method is simpler and suitable to small computers for which the computing time requirement is not of prime importance.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 February 1988
 Bibcode:
 1988STIN...8826546L
 Keywords:

 Computer Techniques;
 Convergence;
 Electromagnetic Fields;
 Iteration;
 Moments;
 Computer Systems Performance;
 Matrices (Mathematics);
 Response Time (Computers);
 Series Expansion;
 Statistical Analysis;
 Weighting Functions;
 Communications and Radar