@Article{IJNAM-17-5,
author = {Xiuli, Wang and Yuanyuan, Liu and Zhai, Qilong},
title = {The Weak Galerkin Finite Element Method for Solving the Time-Dependent Stokes Flow},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2020},
volume = {17},
number = {5},
pages = {732--745},
abstract = {<p style="text-align: justify;">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 $H^1$<sup>&nbsp;</sup>norm for the velocity, and $L^2$&nbsp;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.</p>},
issn = {2617-8710},
doi = {https://doi.org/2020-IJNAM-17877},
url = {https://global-sci.com/article/83039/the-weak-galerkin-finite-element-method-for-solving-the-time-dependent-stokes-flow}
}