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February 2006 Determination of the Babuska-Aziz Constant for the Linear Triangular Finite Element
Fumio Kikuchi, Xuefeng Liu
Japan J. Indust. Appl. Math. 23(1): 75-82 (February 2006).


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.


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Fumio Kikuchi. Xuefeng Liu. "Determination of the Babuska-Aziz Constant for the Linear Triangular Finite Element." Japan J. Indust. Appl. Math. 23 (1) 75 - 82, February 2006.


Published: February 2006
First available in Project Euclid: 19 June 2006

zbMATH: 1098.65107
MathSciNet: MR2210297

Keywords: Babuska-Aziz constant , interpolation error estimation , linear triangular finite element

Rights: Copyright © 2006 The Japan Society for Industrial and Applied Mathematics

Vol.23 • No. 1 • February 2006
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