ACCURACY ANALYSIS FOR QUASI-CAREY ELEMENT*

In this paper, a new triangular element (Quasi-Carey element) is constructed by the idea of Specht element. It is shown that this Quasi-Carey element possesses a very special property, i.e., the consistency error is of order O(h ²), one order higher than its interpolation error when the exact solution belongs to H ³(Ω). However, the interpolation error and consistency error of Carey element are of order O(h). It seems that the above special property has never been seen for other triangular elements for the second order problems. *This research is supported by the National Natural Science Foundation of China under Grant No. 10671184.