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

Masahisa Tabata, Daisuke Tagami

研究成果: ジャーナルへの寄稿記事

14 引用 (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.

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
17
発行部数3
DOI
出版物ステータス出版済み - 10 2000

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Stokes Flow
Finite Element Approximation
Drag
Navier-Stokes
Error Estimates
Backward Euler Method
Norm
Semi-implicit
Time Integration
Supremum
Stability Condition
Summation
Finite Element
Fluxes
First-order
Derivatives
Derivative

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.

:: Japan Journal of Industrial and Applied Mathematics, 巻 17, 番号 3, 10.2000, p. 371-389.

研究成果: ジャーナルへの寄稿記事

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