  We introduce and analyze a discontinuous Galerkin method for a time-harmonic
eddy current problem formulated in terms of the magnetic field. The scheme is
obtained by putting together a DG method for the approximation of the vector
field variable representing the magnetic field in the conductor and a DG method
for the Laplace equation whose solution is a scalar magnetic potential in the
insulator. The transmission conditions linking the two problems are taken into
account weakly in the global discontinuous Galerkin scheme. We prove that the
numerical method is uniformly stable and obtain quasi-optimal error estimates
in the DG-energy norm.
