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

Yinnian He, Jinchao Xu, Aihui Zhou

Research output: Contribution to journalArticle

63 Citations (Scopus)

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

Fingerprint

Navier-Stokes Problem
Finite Element
Grid
Incompressible Navier-Stokes
A Priori Error Estimates
Finite Element Solution
Low Frequency
Discretization

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics
  • Computational Mathematics

Cite this

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Local and parallel finite element algorithms for the Navier-Stokes problem. / He, Yinnian; Xu, Jinchao; Zhou, Aihui.

In: Journal of Computational Mathematics, Vol. 24, No. 3, 05.2006, p. 227-238.

Research output: Contribution to journalArticle

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