3-D Magnetostatic Using the Fast Multiple Method

This paper presents an efficient implementation of the fast multipole method (FMM) for magnetic field and electromagnetic force computations. The total computational cost of our technique is proportional to O[(N+M)ln(N+M)], where N is the number of evaluation points and M is the number of source points of the system. This technique is based on the efficient computation of the integral in the Biot-Savart law by using the FMM technique. Sample numerical results are presented for the vector potential and magnetic field in a toroidal system