Simple nonconforming quadrilateral Stokes element
Simple nonconforming quadrilateral Stokes element
复制标题
DOI：
10.1002/num.1690080202
复制
发表时间：
1992-03
影响因子：
3.9
通讯作者：
R. Rannacher;S. Turek
中科院分区：
文献类型：
--
作者：
R. Rannacher;S. Turek
分析了一种基于“旋转”多线性形函数的简单四边形Stokes元。在强非均匀网格上，该单元的通常参数版本缺乏一致性，而其非参数对应物则证明是收敛的最优阶。这一理论结果得到了数值试验的证实。
A simple nonconforming quadrilateral Stokes element based on “rotated” multi-linear shape functions is analyzed. On strongly nonuniform meshes the usual parametric version of this element suffers from a lack of consistency, while its nonparametric counterpart turns out to be convergent with optimal orders. This theoretical result is confirmed by numerical tests.