### 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 language | English (US) |
---|---|

Pages (from-to) | 227-238 |

Number of pages | 12 |

Journal | Journal of Computational Mathematics |

Volume | 24 |

Issue number | 3 |

State | Published - May 2006 |

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### All Science Journal Classification (ASJC) codes

- Mathematics(all)
- Applied Mathematics
- Computational Mathematics

### Cite this

*Journal of Computational Mathematics*,

*24*(3), 227-238.

}

*Journal of Computational Mathematics*, vol. 24, no. 3, pp. 227-238.

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

Research output: Contribution to journal › Article

TY - JOUR

T1 - Local and parallel finite element algorithms for the Navier-Stokes problem

AU - He, Yinnian

AU - Xu, Jinchao

AU - Zhou, Aihui

PY - 2006/5

Y1 - 2006/5

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=33744965899&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33744965899&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:33744965899

VL - 24

SP - 227

EP - 238

JO - Journal of Computational Mathematics

JF - Journal of Computational Mathematics

SN - 0254-9409

IS - 3

ER -