Least-Squares Collocation Points Meshless Method with Radial Basis Functions Solving Elliptic Equations
This paper proposes a least-squares collocation points meshless method with radial basis functions to solve elliptic equations. Firstly, based on the collocation meshless method with radial basis functions, a number of auxiliary points and boundary points are added to construct the overdetermined linear equations, then the least-squares method is used to solve the equations. Secondly, the existence and uniqueness of the proposed method are proved. Moreover, a permutation matrix is used for improving the accuracy while solving the overdetermined linear equations. The results of the examples show that the accuracy and stability of the proposed method are better than that of collocation.
elliptic equations radial basis function collocation points least-squares permutation matrix
Baoshan Miao Xinqiang Qin Gang Hu Faning Dang
School of Sciences Xian University of Technology Xian, Shaanxi, China Institute of Water Resources and Hydro-electric Engineering Xian University of Technology Xian, Sh
国际会议
成都
英文
1155-1159
2010-12-17（万方平台首次上网日期，不代表论文的发表时间）