Local and parallel finite element algorithms for the Navier-Stokes problem

Yinnian He, Jinchao Xu, Aihui Zhou

Research output: Contribution to journalArticlepeer-review

120 Scopus citations


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.
Original languageEnglish (US)
Pages (from-to)227-238
Number of pages12
JournalJournal of Computational Mathematics
Issue number3
StatePublished - May 1 2006
Externally publishedYes

ASJC Scopus subject areas

  • Computational Mathematics


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