TY - JOUR
T1 - Determination of the Babuska-Aziz constar for the linear triangular finite element
AU - Kikuchi, Fumio
AU - Liu, Xuefeng
PY - 2006/2
Y1 - 2006/2
N2 - 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.
AB - 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.
KW - Babuska-Aziz constant
KW - Interpolation error estimation
KW - Linear triangular finite element
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M3 - Article
AN - SCOPUS:33645502712
SN - 0916-7005
VL - 23
SP - 75
EP - 82
JO - Japan Journal of Industrial and Applied Mathematics
JF - Japan Journal of Industrial and Applied Mathematics
IS - 1
ER -