A recovery-based a posteriori error estimator of the weak Galerkin finite element method for elliptic problems
Liu, Ying 1Wang, Gang 1Wu, Mengyao 1Nie, Yufeng1
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作者信息
1. Northwestern Polytech Univ
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Abstract
In this paper, we propose a recovery-type a posteriori error estimator of the weak Galerkin finite element method for the second order elliptic equation. The reliability and efficiency of the estimator are analyzed by a discrete H-1-norm of the exact error. The estimator is further used in the adaptive weak Galerkin algorithm on the triangular, quadrilateral and other polygonal meshes. Numerical results are provided to demonstrate the effectiveness of the adaptive mesh refinement guided by this estimator. (C) 2021 Elsevier B.V. All rights reserved.
NSTL
Elsevier