A boundary matching method in solving three-dimensional steady state eddy-current problems

A boundary method is developed for the computation of three-dimensional eddy-current distributions. The electromagnetic field is described by the magnetic field intensity in conductive regions and by the magnetic scalar potential in nonconductive regions. The fundamental solutions of the relevant differential equations are used as trial functions to approximate the solution of the eddy-current problem. A method is obtained for finding the near-best positions of the singularities of the fundamental solutions using a nonlinear least-squares minimization technique. This method requires relatively few trial functions to obtain satisfactory accuracy