We extend the framework of a posteriori error estimation by preconditioning in [Li, Y., Zikatanov, L.: arXiv:2010.06774 (2020)] and derive new a posteriori error estimates for Maxwell two-phase interface problems. The proposed error estimator provides two-sided bounds for the discretization error and is robust with respect to coefficient variation under mild assumptions. For Maxwell equations with constant coefficients, the performance of this estimator is numerically compared with the one analyzed in [Sch\"oberl, J.: Math.~Comp. \textbf{77}(262), 633-649 (2008)].

翻译：我们通过在[Li, Y, Zikatanov, L: arXiv: 2010.06774 (202020年) 中设定先决条件,扩展事后误差估计框架,并为Maxwell 两阶段界面问题得出新的事后误差估计。 提议的误差估计符为离散错误提供了双向界限, 并在轻度假设下对系数变化具有强力。 对于具有恒定系数的 Maxwell 方程式, 该估计符的性能与[Sch\"oberl, J.: Matth.~Comp.\ textbf{77}(262), 633-649(2008)]中分析的方程式相比, 数值上比较。