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

Fumio Kikuchi, Xuefeng Liu

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)75-82
Number of pages8
JournalJapan Journal of Industrial and Applied Mathematics
Volume23
Issue number1
Publication statusPublished - 2006 Feb

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Error analysis
Triangular
Finite Element
Numerical Verification
A Posteriori Error Estimation
Interpolation Error
Transcendental
Error Estimation
Interpolation

Keywords

  • Babuska-Aziz constant
  • Interpolation error estimation
  • Linear triangular finite element

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Determination of the Babuska-Aziz constar for the linear triangular finite element. / Kikuchi, Fumio; Liu, Xuefeng.

In: Japan Journal of Industrial and Applied Mathematics, Vol. 23, No. 1, 02.2006, p. 75-82.

Research output: Contribution to journalArticle

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