High accuracy nonconforming finite elements for fourth order problems

被引：8
|
作者：
Wang Ming [3 ,4 ]
Zu PengHe [3 ,4 ]
Zhang Shuo [1 ,2 ]
机构：
[1] Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100190, Peoples R China
[2] Chinese Acad Sci, Acad Math & Syst Sci, NCMIS, Beijing 100190, Peoples R China
[3] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
[4] Peking Univ, LMAM, Beijing 100871, Peoples R China
来源：
SCIENCE CHINA-MATHEMATICS | 2012年 / 55卷 / 10期
基金：
中国国家自然科学基金;
关键词：
fourth order problem; nonconforming finite element; high accuracy; arbitrary dimensions;
D O I：
10.1007/s11425-012-4429-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The approach of nonconforming finite element method admits users to solve the partial differential equations with lower complexity, but the accuracy is usually low. In this paper, we present a family of high-accuracy nonconforming finite element methods for fourth order problems in arbitrary dimensions. The finite element methods are given in a unified way with respect to the dimension. This is an effort to reveal the balance between the accuracy and the complexity of finite element methods.
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页码：2183 / 2192
页数：10
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