@Article{JCM-22-1,
author = {Yinnian, He and Miao, Huanling and Ren, Chunfeng},
title = {A Two-Level Finite Element Galerkin Method for the Nonstationary Navier-Stokes Equations II: Time Discretization},
journal = {Journal of Computational Mathematics},
year = {2004},
volume = {22},
number = {1},
pages = {33--54},
abstract = {<p style="text-align: justify;">&nbsp;In this article we consider the fully discrete two-level finite element Galerkin method for the two-dimensional nonstationary incompressible Navier-Stokes equations. This method consists in dealing with the fully discrete nonlinear Navier-Stokes problem on a coarse mesh with width $H$ and the fully discrete linear generalized Stokes problem on a fine mesh with width $h &lt;&lt; H$. Our results show that if we choose $H=O(h^{1/2}$) this method is as the same stability and convergence as the fully discrete standard finite element Galerkin method which needs dealing with the fully discrete nonlinear Navier-Stokes problem on a fine mesh with width $h$. However, our method is cheaper than the standard fully discrete finite element Galerkin method. &nbsp;</p>},
issn = {1991-7139},
doi = {https://doi.org/2004-JCM-8849},
url = {https://global-sci.com/article/85187/a-two-level-finite-element-galerkin-method-for-the-nonstationary-navier-stokes-equations-ii-time-discretization}
}