中文版 | English
Title

A Posteriori Error Estimator for Weak Galerkin Finite Element Method for Stokes Problem Using Diagonalization Techniques

Author
Corresponding AuthorZhang, Ran
Publication Years
2022-12-01
DOI
Source Title
ISSN
1609-4840
EISSN
1609-9389
Abstract
Based on a hierarchical basis a posteriori error estimator, an adaptive weak Galerkin finite element method (WGFEM) is proposed for the Stokes problem in two and three dimensions. In this paper, we propose two novel diagonalization techniques for velocity and pressure, respectively. Using diagonalization techniques, we need only to solve two diagonal linear algebraic systems corresponding to the degree of freedom to get the error estimator. The upper bound and lower bound of the error estimator are also shown to address the reliability of the adaptive method. Numerical simulations are provided to demonstrate the effectiveness and robustness of our algorithm.
Keywords
URL[Source Record]
Indexed By
Language
English
SUSTech Authorship
Others
Funding Project
[BK20210540] ; [21KJB110015] ; [2020YFA0713601] ; [11971221] ; [2021ZDZX1001] ; [RCJC20200714114556020] ; [JCYJ20200109115422828] ; [JCYJ20190809150413261]
WOS Research Area
Mathematics
WOS Subject
Mathematics, Applied
WOS Accession No
WOS:000894405900001
Publisher
Data Source
Web of Science
Citation statistics
Cited Times [WOS]:0
Document TypeJournal Article
Identifierhttp://kc.sustech.edu.cn/handle/2SGJ60CL/417321
DepartmentDepartment of Mathematics
Affiliation
1.Jilin Univ, Sch Math, Changchun 130012, Jilin, Peoples R China
2.Nanjing Tech Univ, Sch Phys & Math Sci, Nanjing 211816, Peoples R China
3.Southern Univ Sci & Technol, Dept Math, Shenzhen 518055, Peoples R China
4.Southern Univ Sci & Technol, Natl Ctr Appl Math, Shenzhen & SUSTech Int Ctr Math, Shenzhen 518055, Peoples R China
Recommended Citation
GB/T 7714
Zhang, Jiachuan,Zhang, Ran,Li, Jingzhi. A Posteriori Error Estimator for Weak Galerkin Finite Element Method for Stokes Problem Using Diagonalization Techniques[J]. Computational Methods in Applied Mathematics,2022.
APA
Zhang, Jiachuan,Zhang, Ran,&Li, Jingzhi.(2022).A Posteriori Error Estimator for Weak Galerkin Finite Element Method for Stokes Problem Using Diagonalization Techniques.Computational Methods in Applied Mathematics.
MLA
Zhang, Jiachuan,et al."A Posteriori Error Estimator for Weak Galerkin Finite Element Method for Stokes Problem Using Diagonalization Techniques".Computational Methods in Applied Mathematics (2022).
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