Nonlinear magnetostatic calculations based on fast multipole method

A globally convergent iterative technique for the solution of nonlinear magnetostatic problems is described. This technique can be naturally implemented by using the fast multipole method. In this technique, all computations are confined to the region occupied by ferromagnetic objects. For this reason, this technique may emerge as a viable alternative to the finite-element method. Numerical examples that highlight the efficiency of the fast multipole implementation are presented.