基于径向基函数无网格配点法求解泊松方程  

A meshless method for possion equations by collation with radial basis fuctions

作　　者：王新[1] 尹晓华[1] 罗杨娟 

机构地区：[1]石家庄铁道学院 [2]煤炭工业石家庄设计研究院

出　　处：《山西建筑》2006年第2期68-70,共3页Shanxi Architecture

摘　　要：将径向基函数无网格配点法用于求解泊松方程,此方法无需背景积分网格,是一种真正的无网格法。采用三种不同的径向基函数来求解,讨论了形参取值对求解精度的影响,收敛性也得到了证明,编制相应的计算机程序进行计算,结果精度令人满意。A meshless method based on radial basis functions is presented to solve Possion equations. This method is a truly meshless technique without mesh discretization. Different shape parameters of three kinds of radial basis functions are used to show their feasibilities to the solution, and the converge is aLso assessed. A numerical example is implemented to show the effectiveness and feasibility of the proposed method.

关 键 词：径向基函数 无网格法 配点法 泊松方程 

分 类 号：TU311.4[建筑科学—结构工程]