A fast 3-D multipole method for eddy-current computation

The adaptive fast multipole method is combined with a three-dimensional (3-D) eddy-current integral formulation using edge-element-based shape functions to reduce the computational complexity and the memory requirements from order N/sup 2/ to nearly order N, where N is the number of edge-related unknowns. The effectiveness of this approach is verified with reference to the analysis of some 3-D problems of practical interest.