A Family of Nonconforming Rectangular Elements for Strain Gradient Elasticity

查看全文 作　　者：Yulei [1]Liao;Pingbing [2]Ming 机构地区：[1]School of Mathematics,Renmin University of China,No.59,Zhongguancun Street,Beijing 100872,China;[2]LSEC,Institute of Computational Mathematics,AMSS Chinese Academy of Sciences,No.55,East Road Zhongguancun,Beijing 100190,China,and School of Mathematical Sciences,University of Chinese Academy of Sciences,Beijing 100049,China 出　　处：《Advances in Applied Mathematics and Mechanics》索引2019年第11卷第6期,共24页 基　　金：The work of Ming was partially supported by the National Natural Science Foundation of China for Distinguished Young Scholars No.11425106 and National Natural Science Foundation of China grants No.91630313 and by the support of CAS NCMIS. 摘　　要：We propose a family of nonconforming rectangular elements for the linear strain gradient elastic model.Optimal error estimates uniformly with respect to the small material parameter have been proved.Numerical results confirm the theoretical prediction. 关 键 词：Nonconforming finite elements strain gradient elasticity uniform error estimate