LOWER ORDER RECTANGULAR NONCONFORMING MIXED FINITE ELEMENT FOR THE THREE-DIMENSIONAL ELASTICITY PROBLEM

被引：32
|
作者：
Man, Hong-Ying [1 ]
Hu, Jun [2 ,3 ]
Shi, Zhong-Ci [4 ]
机构：
[1] Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China
[2] Peking Univ, LMAM, Beijing 100871, Peoples R China
[3] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
[4] Chinese Acad Sci, LSEC, ICMSEC, Acad Math & Syst Sci, Beijing 100080, Peoples R China
来源：
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2009年 / 19卷 / 01期
基金：
芬兰科学院;
关键词：
Elasticity; mixed method; nonconforming finite element; LINEAR ELASTICITY; PLANE ELASTICITY;
D O I：
10.1142/S0218202509003358
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we propose a first-order rectangular nonconforming element for the stress-displacement system derived from the Hellinger-Reissner variational principle for the three-dimensional elasticity problem. We show that the discrete inf-sup condition holds for this scheme. Based on some superconvergence of the consistency error, we prove the optimal error estimate of O(h) for both the displacement and stress.
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页码：51 / 65
页数：15
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