@Article{JCM-22-21,
author = {He , Yinnian},
title = {A Two-Level Finite Element Galerkin Method for the Nonstationary Navier-Stokes Equations I: Spatial Discretization},
journal = {Journal of Computational Mathematics},
year = {2004},
volume = {22},
number = {1},
pages = {21--32},
abstract = {<p style="text-align: justify;">In this article we consider a two-level finite element Galerkin method using mixed finite elements for the two-dimensional nonstationary incompressible Navier-Stokes equations. The method yields a $H^1$-optimal velocity approximation and a $L_2$-optimal pressure approximation. The two-level finite element Galerkin method involves solving one small, nonlinear Navier-Stokes problem on the coarse mesh with mesh size $H$, one linear Stokes problem on the fine mesh with mesh size $h &lt;&lt; H$. The algorithm we study produces an approximate solution with the optimal, asymptotic in $h$, accuracy. &nbsp;</p>},
issn = {1991-7139},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jcm/8848.html}
}