Reissner-Mindlin板的一种新的稳定有限元法

A New Stabilized Finite Element Method for the Reissner-Mindlin Plate

对于Reissner-Mindlin板,提出了一个绝对稳定的有限方法,此算法可以看作是M.Lyly稳定化方法的改进。改进后算法放松了对稳定化参数α的限制对任意的稳定化参数α>0都无条件稳定。数值实验表明,对于相同的α,本算法比Lyly中算法的收敛速度快,对稍大的α,优势更为明显。

As a altered form of the stabilized method of M. Lyly, a new absolute stabilized finite element method is presented for the Reissner-Mindlin plate model. It is robust for all positive stabilized parameter α, while α has to satisfy some conditions for the method of Lyly to ensure the method＇ s validity. Furthermore, numerical experiments verify that, for the same α the altered form performs better than it does in Lyly＇ s method, and for the larger α the advantage is more obvious.