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 equationt + tant = 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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Kikuchi, F., Xuefeng, L. Determination of the Babuska-Aziz constant for the linear triangular finite element. Japan J. Indust. Appl. Math. 23, 75 (2006). https://doi.org/10.1007/BF03167499
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DOI: https://doi.org/10.1007/BF03167499