Structural aspects of regularized full Maxwell electrodynamic potential formulations using FIT

In this paper regularized electrodynamic potential formulations for full Maxwell are presented within the framework of the Finite Integration Technique. The reformulation of the semi-discrete Maxwell Equations into two second order wave equations for the magnetic vector potential and a scalar electric potential is feasible with a Lorenz-type gauge condition. On the other hand, a Coulomb-type condition yields a numerically ill-posed formulation. This is shown using the differential-algebraic equation index concept.