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A Posteriori Error Estimator for Weak Galerkin Finite Element Method for Stokes Problem Using Diagonalization Techniques.
- Source :
- Computational Methods in Applied Mathematics; Jul2023, Vol. 23 Issue 3, p783-811, 29p
- Publication Year :
- 2023
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- FINITE element method
STOKES equations
DEGREES of freedom
LINEAR systems
Subjects
Details
- Language :
- English
- ISSN :
- 16094840
- Volume :
- 23
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Computational Methods in Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 164705350
- Full Text :
- https://doi.org/10.1515/cmam-2022-0087