LORENTZ GAUGE FORMULATIONS FOR EDDY-CURRENT PROBLEMS INVOLVING PIECEWISE HOMOGENEOUS CONDUCTORS

It is well known that vector potential formulations of Maxwell's equat ions need to be gauged, otherwise a nodally based finite element appro ximation leads to an ill conditioned matrix system. This paper studies alternative Lorentz gauge formulations, since they have the potential for providing highly efficient solutions, Particular attention will b e paid to material interface conditions, and the ease of implementatio n in a finite element code. The goal is to arrive at an efficient syst em, capable of solving multiply connected, abutting conductors, made o f different materials.