A scalar-vector method for 3D eddy current problems using edge elements

A finite-element method for eddy currents is described. By using fictitious currents in the conductors, this scalar-vector method is able to solve current-driven problems without cuts or extra circuit equations. The method uses what seems to be a minimum number of dependent variables: a vector in the conductors and a scalar elsewhere. Abrupt changes in permeability and conductivity are allowed. Results are given for the skin effect in an infinite slab of conductor; a conducting cylinder immersed in a uniform magnetic field; and the Bath cube.>