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A LOCKING-FREE ANISOTROPIC NONCONFORMING FINITE ELEMENT FOR PLANAR LINEAR ELASTICITY PROBLEM 被引量:15

A LOCKING-FREE ANISOTROPIC NONCONFORMING FINITE ELEMENT FOR PLANAR LINEAR ELASTICITY PROBLEM
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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 L^2-norms are independent-of the Lame parameter λ. 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 L^2-norms are independent-of the Lame parameter λ.
出处 《Acta Mathematica Scientia》 SCIE CSCD 2007年第1期193-202,共10页 数学物理学报(B辑英文版)
基金 The research is supported by NSF of China (10371113 10471133)
关键词 LOCKING-FREE planar linear elasticity anisotropic nonconforming finite element optimal error estimates Locking-free, planar linear elasticity, anisotropic nonconforming finite element, optimal error estimates
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  • 1明平兵.非协调元vs Locking问题,博士学位论文[M].中国科学院计算数学所,1999,12..

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