This paper presents a new method for solving the integral equation of magnetic vector potential on the surfaces of perfect conductor bodies. The definition of magnetic flux of ideal coils implies that these are perfect conductors, so the normal component of magnetic flux density on their surfaces is equal to zero, which is equivalent with enforcing a zero normal component of magnetic vector potential A and the circulations of A on any closed path on their boundaries, only those surrounding the holes being equal to magnetic fluxes. A and curl A are described by a linear combination of special vector functions associated with the surface nodes. The integral equation is projected on these functions, as well as on another set of specialized functions orthogonal on the first set. The small number of unknowns is a great advantage of the proposed method.

Keywords: Boundary elements method, Magnetic vector potential, Multiply connected domains, Inductance computation