Some numerical quadrature schemes of a non-conforming quadrilateral finite element

被引：0
|
作者：
Xiao-fei Guan
Ming-xia Li
Shao-chun Chen
机构：
[1] Tongji University,Department of Mathematics
[2] China University of Geosciences (Beijing),School of Information Engineering
[3] Zhengzhou University,Department of Mathematics
来源：
Acta Mathematicae Applicatae Sinica, English Series | 2012年 / 28卷
关键词：
numerical integration; non-conforming quadrilateral finite element; optimal error estimate; 65N30; 65N15;
D O I：
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学科分类号：
摘要：
Numerical quadrature schemes of a non-conforming finite element method for general second order elliptic problems in two dimensional (2-D) and three dimensional (3-D) space are discussed in this paper. We present and analyze some optimal numerical quadrature schemes. One of the schemes contains only three sampling points, which greatly improves the efficiency of numerical computations. The optimal error estimates are derived by using some traditional approaches and techniques. Lastly, some numerical results are provided to verify our theoretical analysis.
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页码：117 / 126
页数：9
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