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

Ying Liu; Gang Wang; Mengyao Wu; Yufeng Nie

doi:10.1016/j.cam.2021.113926

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

Ying Liu, Gang Wang, Mengyao Wu, Yufeng Nie

数学与统计学院

Northwestern Polytechnical University Xian

科研成果: 期刊稿件 › 文章 › 同行评审

4 引用（Scopus）

摘要

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 H¹-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.

源语言	英语
文章编号	113926
期刊	Journal of Computational and Applied Mathematics
卷	406
DOI	https://doi.org/10.1016/j.cam.2021.113926
出版状态	已出版 - 1 5月 2022

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10.1016/j.cam.2021.113926

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

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 H1-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.",

keywords = "A posteriori error estimator, Adaptive algorithm, Weak Galerkin finite element method, Weak gradient recovery",

author = "Ying Liu and Gang Wang and Mengyao Wu and Yufeng Nie",

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T1 - A recovery-based a posteriori error estimator of the weak Galerkin finite element method for elliptic problems

AU - Liu, Ying

AU - Wang, Gang

AU - Wu, Mengyao

AU - Nie, Yufeng

PY - 2022/5/1

Y1 - 2022/5/1

N2 - 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 H1-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.

AB - 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 H1-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.

KW - A posteriori error estimator

KW - Adaptive algorithm

KW - Weak Galerkin finite element method

KW - Weak gradient recovery

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DO - 10.1016/j.cam.2021.113926

M3 - 文章

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SN - 0377-0427

VL - 406

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

M1 - 113926

ER -

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

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