NONSTANDARD FINITE-ELEMENTS IN PROBLEMS WITH ROTATIONAL SYMMETRY

An extension of the coupling of the generalized multipole technique, adapted to the infinite domain, with the standard finite elements in the examined area, to problems with rotational symmetry is presented. The multipole expansion in the infinite domain is the superposition of three-dimensional multipoles distributed uniformly at several circles. The circles build multipole rings. The theoretical basis for building the multipole rings and for taking symmetry into account are given. The method is verified by calculating electrostatic and magnetostatic problems for which analytical solutions exist. Verification encompasses potential distribution as well as calculation of equivalent lumped parameters, i.e. capacitance and inductance.