摘要
We propose a class of 12 degrees of freedom triangular plate bending elements with quadratic rate of convergence.They may be viewed as the second order Specht triangle,while the Specht triangle is one of the best first order plate bending element.The convergence result is proved under minimal smoothness assumption on the solution.Numerical results for both the smooth solution and nonsmmoth solution confirm the theoretical prediction.
基金
The work of Li was supported by Science Challenge Project,No.TZ2016003
The work of Ming was partially supported by the National Natural Science Foundation of China for Distinguished Young Scholars 11425106
National Natural Science Foundation of China grants 91630313
by the support of CAS NCMIS
The work of Shi was partially supported by the National Natural Science Foundation of China grant 11371359.
