A mixed finite element method for the Reissner-Mindlin plate

Boundary value problems

Chunyan Niu¹  Shicang Song¹ 

[1] School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, China

关键词: Reissner-Mindlin plate;    mixed finite element;    error estimates;   

DOI  :  10.1186/s13661-016-0698-0

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, a new mixed variational form for the Reissner-Mindlin problem is given, which contains two unknowns instead of the classical three ones. A mixed triangle finite element scheme is constructed to get a discrete solution. A new method is put to use for proving the uniqueness of the solutions in both continuous and discrete mixed variational formulations. The convergence and error estimations are obtained with the help of different norms. Numerical experiments are given to verify the validity of the theoretical analysis.

【 授权许可】

CC BY