### 抄録

Error estimates are obtained for finite element approximations of the drag and the lift of a body immersed in nonstationary Navier-Stokes flows. By virtue of a consistent flux technique, the error estimates are reduced to those of the velocity as well as its first order derivatives and the pressure. Semi-implicit backward Euler method is used for the time integration and no stability condition is required. The error estimate in a square summation norm is optimal in the sense that it has the same order as the fundamental error estimate of the velocity. The error estimate in the supremum norm is not optimal in general but it is so for some finite elements.

元の言語 | 英語 |
---|---|

ページ（範囲） | 371-389 |

ページ数 | 19 |

ジャーナル | Japan Journal of Industrial and Applied Mathematics |

巻 | 17 |

発行部数 | 3 |

DOI | |

出版物ステータス | 出版済み - 10 2000 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Engineering(all)
- Applied Mathematics

### これを引用

**Error Estimates for Finite Element Approximations of Drag and Lift in Nonstationary Navier-Stokes Flows.** / Tabata, Masahisa; Tagami, Daisuke.

研究成果: ジャーナルへの寄稿 › 記事

}

TY - JOUR

T1 - Error Estimates for Finite Element Approximations of Drag and Lift in Nonstationary Navier-Stokes Flows

AU - Tabata, Masahisa

AU - Tagami, Daisuke

PY - 2000/10

Y1 - 2000/10

N2 - Error estimates are obtained for finite element approximations of the drag and the lift of a body immersed in nonstationary Navier-Stokes flows. By virtue of a consistent flux technique, the error estimates are reduced to those of the velocity as well as its first order derivatives and the pressure. Semi-implicit backward Euler method is used for the time integration and no stability condition is required. The error estimate in a square summation norm is optimal in the sense that it has the same order as the fundamental error estimate of the velocity. The error estimate in the supremum norm is not optimal in general but it is so for some finite elements.

AB - Error estimates are obtained for finite element approximations of the drag and the lift of a body immersed in nonstationary Navier-Stokes flows. By virtue of a consistent flux technique, the error estimates are reduced to those of the velocity as well as its first order derivatives and the pressure. Semi-implicit backward Euler method is used for the time integration and no stability condition is required. The error estimate in a square summation norm is optimal in the sense that it has the same order as the fundamental error estimate of the velocity. The error estimate in the supremum norm is not optimal in general but it is so for some finite elements.

UR - http://www.scopus.com/inward/record.url?scp=0346356089&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0346356089&partnerID=8YFLogxK

U2 - 10.1007/BF03167373

DO - 10.1007/BF03167373

M3 - Article

AN - SCOPUS:0346356089

VL - 17

SP - 371

EP - 389

JO - Japan Journal of Industrial and Applied Mathematics

JF - Japan Journal of Industrial and Applied Mathematics

SN - 0916-7005

IS - 3

ER -