@Article{JCM-24-227, author = {}, title = {Local and Parallel Finite Element Algorithms for the Navier-Stokes Problem}, journal = {Journal of Computational Mathematics}, year = {2006}, volume = {24}, number = {3}, pages = {227--238}, abstract = {

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.  

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8748.html} }