Nonconforming mixed finite-element approximations to time-harmonic eddy current problems

We present nonconforming mixed finite-element methods for the discretization of time-harmonic eddy current problems. These methods are based on a discontinuous Galerkin approach, where the unknowns are approximated by completely discontinuous piecewise polynomials. We consider a stabilized mixed formulation involving equal-order elements and a nonstabilized variant employing mixed-order elements.