TY - JOUR
T1 - Local and Parallel Finite Element Algorithms for the Navier-Stokes Problem
JO - Journal of Computational Mathematics
VL - 3
SP - 227
EP - 238
PY - 2006
DA - 2006/06
SN - 24
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8748.html
KW - Navier-Stokes problem, Finite element, Two-grid method, Local and parallel
algorithm.
AB - <p style="text-align: justify;">Based on two-grid discretizations, in this paper, some new local and parallel finite element algorithms are proposed and analyzed for the stationary incompressible Navier-Stokes problem. These algorithms are motivated by the observation that for a solution to the Navier-Stokes problem, low frequency components can be approximated well by a relatively coarse grid and high frequency components can be computed on a fine grid by some local and parallel procedure. One major technical tool for the analysis is some local a priori error estimates that are also obtained in this paper for the finite element solutions on general shape-regular grids. &nbsp;</p>