AN ANISOTROPIC LOCKING-FREE NONCONFORMING TRIANGULAR FINITE ELEMENT METHOD FOR PLANAR LINEAR ELASTICITY PROBLEM  

作　　者：Dongyang Shi Chao Xu 

机构地区：[1]Department of Mathematics,Zhengzhou University,Zhengzhou 450052,China [2]Department of Mathematics and Physics,Luoyang Institute of Science and Technology,Luoyang 471023,China

出　　处：《Journal of Computational Mathematics》2012年第2期124-138,共15页计算数学（英文）

基　　金：Acknowledgments. This work was supported by National Natural Science Foundation of China （No. 10971203）, Specialized Research Fund for the Doctoral Program of Higher Education （No. 20094101110006）, the Educational Department Foundation of Henan Province of China （No.2009B110013）.

摘　　要：The main aim of this paper is to study the nonconforming linear triangular Crouzeix- Raviart type finite element approximation of planar linear elasticity problem with the pure displacement boundary value on anisotropic general triangular meshes satisfying the maximal angle condition and coordinate system condition. The optimal order error estimates of energy norm and L2-norm are obtained, which are independent of lame parameter λ. Numerical results are given to demonstrate the validity of our theoretical analysis.Mathematics subject classification： 65N30, 65N15.The main aim of this paper is to study the nonconforming linear triangular Crouzeix- Raviart type finite element approximation of planar linear elasticity problem with the pure displacement boundary value on anisotropic general triangular meshes satisfying the maximal angle condition and coordinate system condition. The optimal order error estimates of energy norm and L2-norm are obtained, which are independent of lame parameter λ. Numerical results are given to demonstrate the validity of our theoretical analysis.Mathematics subject classification： 65N30, 65N15.

关 键 词：Planar elasticity Nonconforming element LOCKING-FREE Anisotropic meshes. 

分 类 号：O31[理学—一般力学与力学基础] O343.8[理学—力学]