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 H1 norm for the velocity, and L2 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.