The Coulomb gauged vector potential formulation for the eddy-current problem in general geometry: Well-posedness and numerical approximation
In this paper we prove that, in a general geometric situation, the Coulomb gauged vector potential formulation of the eddy-current problem for the time-harmonic Maxwell equations is well-posed, i.e., its solution exists and is unique. Moreover, a quasi-optimal error estimate for its finite element approximation with nodal elements is proved. To illustrate the performances of the finite element algorithm, some numerical results are also presented.
coulomb gauge vector potentials eddy-currents well-posedness finite element approximation