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In this paper, a residual-type a posteriori error estimator is proposed andanalyzed for a modified weak Galerkin finite element method solving linearelasticity problems. The estimator is proven to be both reliable and efficientbecause it provides upper and lower bounds on the actual error in a discreteenergy norm. Numerical experiments are given to illustrate the effectiveness ofthe this error estimator.

A Posteriori Error Estimates for A Modified Weak Galerkin Finite Element Method Solving Linear Elasticity Problems