@Article{JCM-26-209, author = {Yanren Hou and Liquan Mei}, title = {Full Discrete Two-Level Correction Scheme for Navier-Stokes Equations}, journal = {Journal of Computational Mathematics}, year = {2008}, volume = {26}, number = {2}, pages = {209--226}, abstract = {

In this paper, a full discrete two-level scheme for the unsteady Navier-Stokes equations based on a time dependent projection approach is proposed. In the sense of the new projection and its related space splitting, non-linearity is treated only on the coarse level subspace at each time step by solving exactly the standard Galerkin equation while a linear equation has to be solved on the fine level subspace to get the final approximation at this time step. Thus, it is a two-level based correction scheme for the standard Galerkin approximation. Stability and error estimate for this scheme are investigated in the paper.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8619.html} }