自适应叠层高阶有限元

The Adaptive Hierarchical High Order Element

自适应叠层高阶有限元(以下简称叠层单元)是专门为p型和h-p型有限元自适应计算而提出的一种高阶单元。本文详细地分析了这种单元的主要特点,并通过比较二、三维静态电磁场的计算和拉格朗日型的普通高阶单元计算,证明了这种单元尽管其形函数与普通高阶单元的形函数区别很大,却具有普通高阶单元相同的高精度。

The adaptive hierarchical high order element is one of the high order finite elements. It is proposed specially for the p and h-p version adaptive computation ofFEM.In this paper, the main featltres of the hierarchical element are disc ussed indetail,and itS comparison with ordinary high order elements (i, e. the lagrange typeof element)is made for 2- D and 3- D electrostatic problems, The computed resultsshow that the two kinds of element have the same accuracy, though their shapefunctions are greatlly different.