摘要
在这篇论文，一个新三角形的元素(Quasi-Carey 元素) 被 Specht 元素的想法构造。这个 Quasi-Carey 元素拥有一个很特殊的性质，这被显示出，即，一致性错误具有顺序 O (h <SUP>2</SUP>), 当准确溶液属于 H <SUP>3</SUP>(Ω) 时，比它的插值错误高订。然而，凯里元素的插值错误和一致性错误具有顺序 O (h) 。看起来，上述特殊性质从来没为第二个顺序问题为另外的三角形的元素被看见过。
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.
基金
This research is supported by the National Natural Science Foundation of China under Grant No.10671184
关键词
连贯性误差
非一致有限元
准凯里元
三角形元
Consistency errors, nonconforming finite element, Quasi-Carey element
