Two fields BIM and FEM for eddy currents

We propose to compute the electric and magnetic fields e and h, in the case of magnetodynamics when the displacement currents are negligible, by means of a Boundary Integral Method (BIM) coupled to a Finite Element Method (FEM). For that, we first establish an integral representation of the tangential components of e and h on the conductor boundary which is valid at low frequencies; it then permits one to very easily write the BIM. We finally obtain the complete formulation that we apply to several tests. In particular we note that it needs no special subsidiary calculation to express the BIM and that it is directly applicable to multiply connected domains without any specific computation.