Reissner-Mindlin板的非协调稳定化组合有限元法  

Nonconforming Stabilized Combined Finite Element Method for the Reissner-Mindlin Plate

作　　者：冯民富[1] 杨艳[2] 周天孝 

机构地区：[1]四川大学数学学院,成都610064 [2]西南石油大学理学院,四川南充637001 [3]航空计算研究所,西安710078

出　　处：《应用数学和力学》2009年第2期192-202,共11页Applied Mathematics and Mechanics

基　　金：四川省科技攻关课题资助项目(05GG006-006-2)

摘　　要：基于Reissner-Mindlin板的组合变分格式,提出了一种非协调稳定化组合有限元方法.若有限元空间满足能量协调条件,该方法收敛,并有误差估计.作为应用,讨论了3种有限元空间,并和MITC4和DKQ方法比较.数值结果表明该方法对网格畸变不敏感.若选取适当的参数.在粗网格上就有高精度.Based on the combination of two variational principles, a nonconforming stabilized finite element method was presented for the Reissner-Mindlin plates. The method is convergent when the finite element space is energy-compatible. Moreover, the error estimates were derived. In particular, three finite element spaces were applied to the computation. Numerical results show that the method is insensitive to the mesh distortion and has better behavior than MITCA and DKQ methods. If the parameters are properly chosen, high accuracy will be achieved at coarse meshes.

关 键 词：REISSNER-MINDLIN板 能量协调条件 组合杂交元 非协调有限元 

分 类 号：O241[理学—计算数学] O343[理学—数学]