TY - JOUR
T1 - A Two-Grid Method for the Steady Penalized Navier-Stokes Equations
AU - Ren , Chunfeng
AU - Ma , Yichen
JO - Journal of Computational Mathematics
VL - 1
SP - 101
EP - 112
PY - 2004
DA - 2004/02
SN - 22
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/10338.html
KW - Penalized Navier-Stokes equations, Two-grid method, Error estimate, Numerical test.
AB - <p style="text-align: justify;">A two-grid method for the steady penalized incompressible Navier-Stokes equations is presented. Convergence results are proved. If $h=O(H^{3-s})$ and $\epsilon&nbsp;=O(H^{5-2s}) \ (s=0 \&nbsp; (n=2); \ s=\frac{1}{2} \ (n=3))$ are chosen, the convergence order of this two-grid method is the same as that of the usual finite element method. Numerical results show that this method is efficient and can save a lot of computation time.</p>