The aim of this paper is to introduce and analyze a numerical method to solve a transient eddy current problem which arises from the modeling of electromagnetic forming in the axisymmetric case. The resulting problem is degenerate parabolic with the time derivative acting on a moving subdomain. This paper is the sequel of Bermudez et al. (SIAM J. Math. Anal. 45, 3629---3650, 2013), where a weak formulation of this problem was proved to be well posed and additional regularity of the solution was also established. In the present paper, we propose a finite element method in space combined with a backward Euler time scheme for its numerical solution. We obtain error estimates and report numerical results which allow us to assess the performance of the proposed method.
['Alfredo Bermúdez', 'Rafael Muñoz-Sola', 'Carlos Reales', 'Rodolfo Rodríguez', 'Pilar Salgado']
A transient eddy current problem on a moving domain. Numerical analysis