Year: 2020
Author: Xiuli Wang, Yuanyuan Liu, Qilong Zhai
International Journal of Numerical Analysis and Modeling, Vol. 17 (2020), Iss. 5 : pp. 732–745
Abstract
In this paper, we solve the time-dependent Stokes problem by the weak Galerkin (WG) finite element method. Full-discrete WG finite element scheme is obtained by applying the implicit backward Euler method for time discretization. Optimal order error estimates are established for the corresponding numerical approximation in $H^1$ norm for the velocity, and $L^2$ norm for both the velocity and the pressure in semi-discrete forms and full-discrete forms, respectively. Some computational results are presented to demonstrate the accuracy, convergence and efficiency of the method.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2020-IJNAM-17877
International Journal of Numerical Analysis and Modeling, Vol. 17 (2020), Iss. 5 : pp. 732–745
Published online: 2020-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Stokes problem weak Galerkin finite element method discrete weak gradient discrete weak divergence.