A nonlinear eddy current integral formulation in terms of a two-component current density vector potential

This paper presents an iterative procedure based on an integral formulation for nonlinear eddy current problems. Its main advantages are the possibility of assuring the convergence of the numerical scheme (Picard-Banach), the need of discretizing only the conducting domain (and, if different, the ferromagnetic domain) and, finally, the necessity of forming and inverting the matrices only once (a typical feature of the Picard-Banach procedure). Some numerical results are also reported to validate the numerical implementation.