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 |
|---|---|
| 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