Determination of the Babuska-Aziz constar for the linear triangular finite element

Fumio Kikuchi, Xuefeng Liu

研究成果: Article査読

16 被引用数 (Scopus)

抄録

We explicitly determine the Babuska-Aziz constant, which plays an essential role in the interpolation error estimation of the linear triangular finite element. The equation for determination is the transcendental equation t + tan t = 0, so that the solution can be numerically obtained with desired accuracy and verification. Such highly accurate approximate values for the constant can be widely used for a priori and a posteriori error estimations in adaptive computation and/or numerical verification.

本文言語English
ページ(範囲)75-82
ページ数8
ジャーナルJapan Journal of Industrial and Applied Mathematics
23
1
出版ステータスPublished - 2006 2

ASJC Scopus subject areas

  • 数学 (全般)
  • 応用数学

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