一种h型自适应有限单元

An h-Type Adaptive Finite Element

ｈ型自适应有限单元在网格局部细划时．会产生非常规节点，从而破坏了一般意义上的单元连续性假定．本文利用参照节点对非常规单元进行坐标和位移插值．为保证单元之间坐标和位移的连续性，本文提出了一组修正的形函数，常用的形函数是它的一个特例．本方法应用于有限元程序时，除形函数外无须做任何改动．算例表明水文的方法具有方法简单、精度高、自由度少、计算量小等优点．

For h-type adaptive finite element method, the local mesh refinement introduces irregular nodes and destroys the standard continuity between elements. The reference nodes of the irregular are used to interpolate element coordinates and displacements. The improved shape functions, of which the conventional shape functions are a particular case, are presented to guarantee the continuity. No changes but the shape functions are needed when the method is applied in finite element programs. The computational results show the features of the method:higher accuracy, simplicity, fewer degrees of freedom and less computation effort.