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ON LOCKING-FREE FINITE ELEMENT SCHEMES FOR THREE-DIMENSIONAL ELASTICITY
He Qi; Lieheng Wang; Weiying Zheng
2005
发表期刊Journal of Computational Mathematics
ISSN0254-9409
卷号23期号:1页码:101
摘要In the present paper, the authors discuss the locking phenomenon oI the lmlte element method for three-dimensional elasticity as the Lamé constant λ→∞. Three kinds of finite elements are proposed and analyzed to approximate the three-dimensional elasticity with pure displacement boundary condition. Optimal order error estimates which are uniform with respect to λ ∈(0,∞) are obtained for three schemes. Furthermore, numerical results are presented to show that, our schemes are locking-free and and the trilinear conforming finite element scheme is locking.
语种英语
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/2094
专题计算数学与科学工程计算研究所
作者单位中国科学院数学与系统科学研究院
推荐引用方式
GB/T 7714
He Qi,Lieheng Wang,Weiying Zheng. ON LOCKING-FREE FINITE ELEMENT SCHEMES FOR THREE-DIMENSIONAL ELASTICITY[J]. Journal of Computational Mathematics,2005,23(1):101.
APA He Qi,Lieheng Wang,&Weiying Zheng.(2005).ON LOCKING-FREE FINITE ELEMENT SCHEMES FOR THREE-DIMENSIONAL ELASTICITY.Journal of Computational Mathematics,23(1),101.
MLA He Qi,et al."ON LOCKING-FREE FINITE ELEMENT SCHEMES FOR THREE-DIMENSIONAL ELASTICITY".Journal of Computational Mathematics 23.1(2005):101.
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