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:在本文中,建议并分析一种后置误差测算器的剩余类型,用于一种经修改的微弱加勒金定点元素方法,解决线性弹性问题。该测算器既可靠又有效,因为它提供了离散能源规范中实际误差的上下界限。给出了数值实验,以说明误差测算器的有效性。