@Article{JCM-22-101, author = {Ren , Chunfeng and Ma , Yichen}, title = {A Two-Grid Method for the Steady Penalized Navier-Stokes Equations}, journal = {Journal of Computational Mathematics}, year = {2004}, volume = {22}, number = {1}, pages = {101--112}, abstract = {

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 $\epsilon =O(H^{5-2s}) \ (s=0 \  (n=2); \ s=\frac{1}{2} \ (n=3))$ 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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/10338.html} }