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A locking-free anisotropic nonconforming rectangular finite element approximation for the planar elasticity problem
作者姓名:SHI Dong-yang~ WANG Cai-xia~ Dept.of Math.  Zhengzhou Univ.  Zhengzhou  China. Faculty of Math.and Inform.Sci.  North China Univ.of Water Conservancy and Electric Power  Zhengzhou  China.
作者单位:SHI Dong-yang~1 WANG Cai-xia~2 1 Dept.of Math.,Zhengzhou Univ.,Zhengzhou 450052,China. 2 Faculty of Math.and Inform.Sci.,North China Univ.of Water Conservancy and Electric Power,Zhengzhou 450011,China.
摘    要:This paper deals with a new nonconforming anisotropic rectangular finite element approximation for the planar elasticity problem with pure displacement boundary condition. By use of the special properties of this element, and by introducing the complementary space and a series of novel techniques, the optimal error estimates of the energy norm and the L^2-norm are obtained. The restrictions of regularity assumption and quasi-uniform assumption or the inverse assumption on the meshes required in the conventional finite element methods analysis are to be got rid of and the applicable scope of the nonconforming finite elements is extended.

关 键 词:各向异性  应用数学  同步方式  非一致性
收稿时间:6 June 2007

A locking-free anisotropic nonconforming rectangular finite element approximation for the planar elasticity problem
SHI Dong-yang WANG Cai-xia Dept.of Math.,Zhengzhou Univ.,Zhengzhou ,China. Faculty of Math.and Inform.Sci.,North China Univ.of Water Conservancy and Electric Power,Zhengzhou ,China..A locking-free anisotropic nonconforming rectangular finite element approximation for the planar elasticity problem[J].Applied Mathematics A Journal of Chinese Universities,2008,23(1):9-18.
Authors:Dong-yang Shi  Cai-xia Wang
Institution:[1]Dept. of Math., Zhengzhou Univ., Zhengzhou 450052, China. [2]Faculty of Math. and Inform. Sci., North China Univ. of Water Conservancy and Electric Power,Zhengzhou 450011, China.
Abstract:This paper deals with a new nonconforming anisotropic rectangular finite element approximation for the planar elasticity problem with pure displacement boundary condition. By use of the special properties of this element,and by introducing the complementary space and a series of novel techniques,the optimal error estimates of the energy norm and the L2-norm are obtained. The restrictions of regularity assumption and quasi-uniform assumption or the inverse assumption on the meshes required in the conventional finite element methods analysis are to be got rid of and the applicable scope of the nonconforming finite elements is extended.
Keywords:anisotropic mesh  locking-free  nonconforming finite element  optimal error estimate  comple-mentary space
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