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

Masahisa Tabata*, Daisuke Tagami

*この研究の対応する著者

研究成果: Article査読

16 被引用数 (Scopus)

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.

本文言語English
ページ(範囲)371-389
ページ数19
ジャーナルJapan Journal of Industrial and Applied Mathematics
17
3
出版ステータスPublished - 2000 10月
外部発表はい

ASJC Scopus subject areas

  • 数学 (全般)
  • 応用数学

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