On the Lorenz gauge

Although edge elements satisfactorily solve the eddy current problem, formulations allowing the use of standard, node-based elements, are still looked for. But “well-posed” formulations have been elusive up to now. We propose one, based on a particular gauge, div(σ α)=−σ 2μ v, close to the “Lorenz gauge” of several recent publications, but not identical if one does not assume a piecewise uniform conductivity.