GALERKIN BOUNDARY NODE METHOD FOR EXTERIOR NEUMANN PROBLEMS

作     者：Xiaolin Li Jialin Zhu 

作者机构：College of Mathematics Science Chongqing Normal University Chongqing ~000~7 China College of Mathematics and Physics Chongqing University Chongqing 400044 China 

出 版 物：《Journal of Computational Mathematics》 (计算数学（英文）)

年 卷 期：2011年第29卷第3期

页      面：243-260页

核心收录：

学科分类：080804[工学-电力电子与电力传动] 080805[工学-电工理论与新技术] 0808[工学-电气工程] 07[理学] 08[工学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Educational Commission Foundation of Chongqing China 

主　　题：Meshless Galerkin boundary node method Boundary integral equations Moving least-squares Error estimate. 

摘      要：In this paper, we present a meshless Galerkin scheme of boundary integral equations （BIEs）, known as the Galerkin boundary node method （GBNM）, for two-dimensional ex- terior Neumann problems that combines the moving least-squares （MLS） approximations and a variational formulation of BIEs. In this approach, boundary conditions can be imple- mented directly despite the MLS approximations lack the delta function property. Besides, the GBNM keeps the symmetry and positive definiteness of the variational problems. A rigorous error analysis and convergence study of the method is presented in Sobolev spaces. Numerical examples are also given to illustrate the capability of the method.