Articles

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

  • Shi Dongyang ,
  • Mao Shipeng ,
  • Chen Shaochun
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  • Department of Mathematics, Zhengzhou University, Henan 450052, China

Received date: 2004-01-15

  Revised date: 2005-03-10

  Online published: 2007-01-20

Abstract

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.

Cite this article

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 . DOI: 10.1016/S0252-9602(07)60017-4

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