Meshfree Radial Point Interpolation Method and Its Application for Two-Dimensional Elastic Problem

Meshfreee Method is a new numerical analysis method. It has excellent accuracy and rapid convergence. Radial point interpolation method (RPIM) is a new meshfree method among them. It has not only all the advantages of meshfree method but also the Kronecker delta function property. Its shape function is constructed by the combination of radial and polynomial basis the combination of radial and polynomial basis functions, so it is convenient to implement the boundary conditions as the traditional FEM. This article introduced the basic theory of the radial basis function , the radial point interpolation (RPIM), and used use this method to construct the interpolation function, solve a two-dimensional static elastic problem and have a good performance.