In this paper, a residual-type a posteriori error estimator is proposed and analyzed for a modified weak Galerkin finite element method solving linear elasticity problems. The estimator is proven to be both reliable and efficient because it provides upper and lower bounds on the actual error in a discrete energy norm. Numerical experiments are given to illustrate the effectiveness of the this error estimator.

翻译：本文针对一种修正弱Galerkin有限元法求解线弹性问题，提出并分析了一种残差型后验误差估计子。该估计子被证明既可靠又高效，因为它能在离散能量范数下给出实际误差的上界和下界。数值实验验证了该误差估计子的有效性。