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.