We present a robust a posteriori error estimator for the weak Galerkin finite element method applied to stationary convection-diffusion equations in the convection-dominated regime. The estimator provides global upper and lower bounds of the error %measured in a suitable norm and is robust in the sense that upper and lower bounds are uniformly bounded with respect to the diffusion coefficient. Results of the numerical experiments are presented to illustrate the performance of the error estimator.

翻译：我们提出了一个强大的事后误差估计器,用于在对流占支配地位的制度中用于固定对流-扩散方程式的微弱Galerkin定点元素方法。估计器提供了以适当规范衡量的错误 % 的全球上下界限,并且从上下界限在扩散系数方面统一界限的意义上来说是稳健的。数字实验的结果用来说明错误估计器的性能。