Lorentz gauge eddy current formulations for multiply connected piecewise homogeneous conductors Available to Purchase

Vector potential formulations of Maxwell’s equations need to be gauged, otherwise nodally based finite element approximations lead to an ill conditioned linear system. In this paper alternative Lorentz gauge formulations will be analysed. Particular attention will be paid to the conditions to be applied at material interfaces, bearing in mind ease of implementation in a finite element code and efficiency of solution. The methods discussed are designed to cope with the most challenging physical situations, namely, multiply connected abutting conductors made of different materials.