Finite Element Solution of Saturable Magnetic Field Problems

This paper reports on initial numerical experiments for the solution of the nonlinear magnetic field problem by the method of finite elements, a new technique that permits great freedom in prescribing boundary shapes and does not suffer from the deceleration of convergence that plagues the relaxation methods [9]. The sizes of the triangular elements can be freely chosen so that dense clusters of smaller elements exist in the principal regions of interest (usually the iron parts) and fewer large ones in remote air spaces.