On calculation of 3-D eddy currents in conducting and magnetic shells

The impedance type boundary conditions are derived for 3-D eddy currents in conducting and magnetic shells. These boundary conditions are then represented only in terms of magnetic field. This leads to a new magnetic scalar potential formulation for 3-D eddy currents in conducting and magnetic shells. This scalar potential formulation is reduced to weak Galerkin forms. The finite element discretization of these forms results in volume and surface "stiffness" matrices.<>