基于紧支径向基函数的配点型无网格法

A Meshless Method with Compactly Supported Radial Basis Functions

介绍基于紧支径向基函数的配点型无网格法 ,此方法无需背景积分网格 ,是一种真正的无网格法 ,且能克服全域性径向基函数所导致的系数矩阵为非带状满阵的缺点 .通过对Poisson方程的求解 ,探讨配点密度和紧支域大小对解精度的影响 .

A collocation method based on compactly supported radial basis function , a meshless method ,is presented in this paper, in which the background cells for integration are not needed , and the formed system matrix is banded and sparse. The numerical solutions to a Poisson equation using this method show that the computational accuracy is influenced by the density of the collocation points and the radius of the compactly supported domain.