Artificial diffusion concept for moving conductor eddy current problems with edge elements

We report a way to condition the global stiffness matrix resulting from the Galerkin edge element formulation, in order to make the bi-conjugate gradient (BICG) solver converge for high Peclet number situations. The concept of artificial diffusion is introduced and extended to edge element cases. A general expression of the artificial diffusion scheme for 3D edge elements is derived and a numerical validation in 2D case is presented. It was observed that although nearly identical results were achieved both with or without introducing artificial parameters for a 2D test problem, the former provided a better conditioned global stiffness matrix to ensure the BICG´s convergence