TY - JOUR
T1 - Full Discrete Two-Level Correction Scheme for Navier-Stokes Equations
AU - Yanren Hou & Liquan Mei
JO - Journal of Computational Mathematics
VL - 2
SP - 209
EP - 226
PY - 2008
DA - 2008/04
SN - 26
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8619.html
KW - Two-level method, Galerkin approximation, Correction, Navier-Stokes equation.
AB - <p style="text-align: justify;">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.</p>