A space-time discretization for an electromagnetic problem with moving non-magnetic conductor

This paper deals with a space-time discretization scheme for an eddy current problem in multi-component domain moving non-magnetic conductor. We incorporate the Coulomb gauge to formulation, then propose fully-discrete finite element combined backward Euler's method find approximation of solution variational system. The convergence is proved, and error estimates first-order Lagrangian elements are established. Under appropriate assumptions on weak given initial data, we show optimal rate space suboptimal time discretization. Some numerical experiments performed support obtained theoretical results.