### 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 language | English |
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Pages (from-to) | 75-82 |

Number of pages | 8 |

Journal | Japan Journal of Industrial and Applied Mathematics |

Volume | 23 |

Issue number | 1 |

Publication status | Published - 2006 Feb |

### Keywords

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

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

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## Cite this

Kikuchi, F., & Liu, X. (2006). Determination of the Babuska-Aziz constar for the linear triangular finite element.

*Japan Journal of Industrial and Applied Mathematics*,*23*(1), 75-82.