论九参数拟协调元的扩展

On the Generalization of 9-Parameter Quasi-Conforming Finite Element

九参数拟协调有限元是唐立民等人于1980年提出的一种计算简便的薄板单元。该单元具有较好的收敛性。本文利用新的插值观重新分析九参数拟协调元,得出拟协调元的形函数空间。同时,构造出一类具有较好收敛性的新有限元,其形函数空间有明显的表达方式。

The 9-parameter quasi-conforming finite element with good efficiency was introduced by L. M. Tang et al in 1980. This thin plate element is equivalent to a nonconforming finite element. This paper is dedicated to analysing this element with new interpolation methods and constructing a class of new nonconforming element with convergence whose shape function spaces have explicit forms.