A fast integral equation based scheme for computing magneto-static fields and its application to NDE problems

Integral equation (IE)-based techniques have been widely used for computing the magneto-static field in both the linear and non-linear regime. One disadvantage of IE-based techniques is that they result in dense matrices, the solution of which is computationally prohibitive. Indeed, both the computational time and memory scale as O(N2), where N is the number of spatial unknowns that the body is discretized into. The computational complexity has been the primary hurdle towards the popularity of such solvers. Our goal is to develop a fast solution scheme for magneto-static field computations. In this paper, a novel integral equation formulation has been used and a version of the fast multipole algorithm has been incorporated in the overall solution procedure.