摘要
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.
出处
《河海大学学报(自然科学版)》
CAS
CSCD
北大核心
2001年第1期96-98,共3页
Journal of Hohai University(Natural Sciences)
关键词
无网格法
紧支径向基函数
配点法
POISSON方程
meshless method
compactly supported radial basis function
collocation
poisson equation