A LOCKING-FREE ANISOTROPIC NONCONFORMING FINITE ELEMENT FOR PLANAR LINEAR ELASTICITY PROBLEM

doi:10.1016/S0252-9602(07)60017-4

数学物理学报(英文版)

A LOCKING-FREE ANISOTROPIC NONCONFORMING FINITE ELEMENT FOR PLANAR LINEAR ELASTICITY PROBLEM

石东洋; 毛士鹏; 陈绍春

郑州大学数学系, 郑州 450052

收稿日期:2004-01-15 修回日期:2005-03-10 出版日期:2007-01-20 发布日期:2007-01-20
通讯作者: 石东洋
基金资助:
The research is supported by NSF of China (10371113; 10471133)

A LOCKING-FREE ANISOTROPIC NONCONFORMING FINITE ELEMENT FOR PLANAR LINEAR ELASTICITY PROBLEM

Shi Dongyang; Mao Shipeng; Chen Shaochun

Department of Mathematics, Zhengzhou University, Henan 450052, China

Received:2004-01-15 Revised:2005-03-10 Online:2007-01-20 Published:2007-01-20
Contact: Shi Dongyang

摘要/Abstract

摘要：

The main aim of this article is to study the approximation of a locking-free
anisotropic nonconforming finite element for the pure displacement boundary value problem of planar linear elasticity. The optimal error estimates are obtained by using some novel approaches and techniques. The method proposed in this article is robust in the sense that the convergence estimates in the energy and L²-norms are independent of the Lame parameter λ.

关键词: Locking-free, planar linear elasticity, anisotropic nonconforming finite element, optimal error estimates

Abstract:

Key words: Locking-free, planar linear elasticity, anisotropic nonconforming finite element, optimal error estimates

中图分类号:

65N30

石东洋; 毛士鹏; 陈绍春. A LOCKING-FREE ANISOTROPIC NONCONFORMING FINITE ELEMENT FOR PLANAR LINEAR ELASTICITY PROBLEM[J]. 数学物理学报(英文版), 2007, 27(1): 193-202.

Shi Dongyang; Mao Shipeng; Chen Shaochun. A LOCKING-FREE ANISOTROPIC NONCONFORMING FINITE ELEMENT FOR PLANAR LINEAR ELASTICITY PROBLEM[J]. Acta mathematica scientia,Series B, 2007, 27(1): 193-202.

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A LOCKING-FREE ANISOTROPIC NONCONFORMING FINITE ELEMENT FOR PLANAR LINEAR ELASTICITY PROBLEM

A LOCKING-FREE ANISOTROPIC NONCONFORMING FINITE ELEMENT FOR PLANAR LINEAR ELASTICITY PROBLEM

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