A MIXED FINITE ELEMENT METHOD FOR THE CONTACT PROBLEM IN ELASTICITY  

A MIXED FINITE ELEMENT METHOD FOR THE CONTACT PROBLEM IN ELASTICITY

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作  者:Dong-ying Hua Lie-heng Wang 

机构地区:[1]ICMSEC, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China [2]Graduate School of the Chinese Academy of Science, Beijing 100080, China [3]LSEC, ICMSEC, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China

出  处:《Journal of Computational Mathematics》2005年第4期441-448,共8页计算数学(英文)

摘  要:Based on the analysis of [7] and [10], we present the mixed finite element approximation of the variational inequality resulting from the contact problem in elasticity. The convergence rate of the stress and displacement field are both improved from O(h3/4) to quasi-optimal O(h│logh│^1/4). If stronger but reasonable regularity is available, the convergence rate can be optimal O(h).Based on the analysis of [7] and [10], we present the mixed finite element approximation of the variational inequality resulting from the contact problem in elasticity. The convergence rate of the stress and displacement field are both improved from O(h3/4) to quasi-optimal O(h│logh│^1/4). If stronger but reasonable regularity is available, the convergence rate can be optimal O(h).

关 键 词:Contact problem Mixed finite element method 

分 类 号:O241.82[理学—计算数学]

 

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