\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$C^{0}$$\end{document}-nonconforming tetrahedral and cuboid elements fo
\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$C^{0}$$\end{document}-nonconforming tetrahedral and cuboid elements fo
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DOI：
10.1007/s00211-012-0508-2
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发表时间：
2012-10
影响因子：
2.1
通讯作者：
Hong-Ru Chen;Shaochun Chen;Zhonghua Qiao
中科院分区：
文献类型：
--
作者：
Hong-Ru Chen;Shaochun Chen;Zhonghua Qiao
本文建立了四阶椭圆型问题非协调元构造的理论框架。利用气泡函数构造了三维四阶椭圆型问题的一个四面体非协调元和两个长方体非协调元。还证明了一个元素是一阶收敛的，另外两个元素是二阶收敛的。据我们所知，这是构造四阶椭圆问题的二阶收敛非协调元的第一次成功。
In this paper, a theoretical framework is constructed on how to develop-nonconforming elements for the fourth order elliptic problem. By using the bubble functions, a simple practical method is presented to construct one tetrahedral-nonconforming element and two cuboid-nonconforming elements for the fourth order elliptic problem in three spacial dimensions. It is also proved that one element is of first order convergence and other two are of second order convergence. From the best knowledge of us, this is the first success in constructing the second-order convergent nonconforming element for the fourth order elliptic problem.