首页|A recovery-based a posteriori error estimator of the weak Galerkin finite element method for elliptic problems

A recovery-based a posteriori error estimator of the weak Galerkin finite element method for elliptic problems

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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.

Weak Galerkin finite element methodWeak gradient recoveryA posteriori error estimatorAdaptive algorithmPOLYNOMIAL PRESERVING RECOVERYINTERFACE PROBLEMSGRADIENTSUPERCONVERGENCEAPPROXIMATIONEQUATIONS

Liu, Ying、Wang, Gang、Wu, Mengyao、Nie, Yufeng

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Northwestern Polytech Univ

2022

Journal of Computational and Applied Mathematics

Journal of Computational and Applied Mathematics

EISCI
ISSN:0377-0427
年,卷(期):2022.406
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