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

Yinnian He, Jinchao Xu, Aihui Zhou

Research output: Contribution to journalArticlepeer-review

75 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)227-238
Number of pages12
JournalJournal of Computational Mathematics
Volume24
Issue number3
StatePublished - May 2006

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics
  • Computational Mathematics

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