A Robust Maxwell Formulation for All Frequencies

A novel unified method for the stable numerical solution of the time-harmonic Maxwell's equations for any frequency is presented. The method is based on an extended variational formulation of the full linear Maxwell's equations. This formulation avoids stability problems in the stationary limit, where it reduces to the equations of electrostatics and magnetostatics. Both capacitive and inductive effects are taken into account in a robust fashion for all frequencies.