一种新型核函数下的无单元法及应用

Meshless method with a new kernel function and its application

提出一种新的核函数形式 ,划分两种不同力学场 ,并给出相应的紧支距修正方法。最后将这种核函数同现有几种核函数进行比较 。

This paper firstly constructs a new kernel function to be applied in obtaining meshless approximations. Then it classifies two different discontinuous mechanical fields, and gives the altered projects. At last, it compares this kernel function with some general ones through theory and examples to show it is better than others.