无网格介点法：一种具有h-p-d适应性的无网格法

Abstract

A truly meshless method, the meshless intervention-point (MIP) method, was presented. The moving least squares core (MLSC) approximation was applied to build the shape functions, and to help formulate a more simple and stable algorithm. Furthermore, a local intervention-point approximation technique for numerical discretization was introduced to endow the method with the h-p-d adapability, which meant higher flexibility and applicability in reality. The results from several numerical tests show that the proposed method is simple, efficient and accurate, and exhibits all-round potential for engineering computation.