A Locking-Free Nonconforming Finite Element Method for Planar Linear Elasticity
被引:7
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作者:
Chang-Ock Lee
论文数: 0引用数: 0
h-index: 0
机构:KAIST,Division of Applied Mathematics
Chang-Ock Lee
Jongwoo Lee
论文数: 0引用数: 0
h-index: 0
机构:KAIST,Division of Applied Mathematics
Jongwoo Lee
Dongwoo Sheen
论文数: 0引用数: 0
h-index: 0
机构:KAIST,Division of Applied Mathematics
Dongwoo Sheen
机构:
[1] KAIST,Division of Applied Mathematics
[2] Kwangwoon University,Department of Mathematics
[3] Seoul National University,Department of Mathematics
来源:
Advances in Computational Mathematics
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2003年
/
19卷
关键词:
nonconforming finite element method;
planar linear elasticity;
locking effects;
D O I:
暂无
中图分类号:
学科分类号:
摘要:
We propose a locking-free nonconforming finite element method based on quadrilaterals to solve for the displacement variable in the pure displacement boundary value problem of planar linear elasticity. The method proposed in this paper is optimal and robust in the sense that the convergence estimates in the energy and L2-norms are independent of the Lamé parameter λ.
机构:
Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100080, Peoples R ChinaChinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100080, Peoples R China
Wang, LH
Qi, H
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机构:Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100080, Peoples R China
机构:
Zhengzhou Univ, Dept Math, Zhengzhou 450052, Peoples R ChinaZhengzhou Univ, Dept Math, Zhengzhou 450052, Peoples R China
Shi Dong-yang
Wang Cai-xia
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机构:
N China Univ Water Conservancy & Elect Power, Fac Math & Inform Sci, Zhengzhou 450011, Peoples R ChinaZhengzhou Univ, Dept Math, Zhengzhou 450052, Peoples R China