Investigation of the Efficiency of Moment Method Solution Based on Expansion Functions Defined in the Infinite Domain for Electrostatic Problems

The efficiency of the Moment Method (MM) when the expansion functions are defined in the infinite domain is checked. It is shown that efficient solution is obtained when the expansion functions obey the known physical behaviour of the fields. The age-old problem of the thin, charged disk is solved by the MM for which an electric field component is expanded outside the body. This solution is compared to the known analytic solution and to the MM solution for which the surface charge density is expanded on the finite disk. An excellent agreement between the analytical solution and the MM solution based on expansion functions defined in the infinite domain was achieved.