In the present paper, we investigate an eddy current problem in a three-dimensional domain containing a moving non-magnetic workpiece. A time discretization scheme based on the backward Euler method is proposed to approximate the original problem. The convergence of the scheme is proved using the Reynolds transport theorem and the corresponding error estimates are derived under appropriate assumptions. Some numerical results are also presented to assess the performance of the proposed scheme as well as to confirm the obtained error estimates.

中文翻译：

---

移动的非磁性导体与电磁接触问题的时间离散化的误差估计

在本文中，我们研究了包含移动非磁性工件的三维域中的涡流问题。提出了一种基于后向欧拉方法的时间离散方案，以近似原始问题。使用雷诺输运定理证明了该方案的收敛性，并在适当的假设下得出了相应的误差估计。还提供了一些数值结果，以评估所提出方案的性能以及确认所获得的误差估计。