椭圆外区域上的自然边界元法  

THE NATURAL BOUNDARY ELEMENT METHOD FOR EXTERIOR ELLIPTIC DOMAIN

作　　者：邬吉明[1] 余德浩[1] 

机构地区：[1]中国科学院数学与系统科学研究院计算数学与科学工程计算研究所科学与工程计算国家重点实验室,北京100080

出　　处：《计算数学》2000年第3期355-368,共14页Mathematica Numerica Sinica

基　　金：国家重点基础研究专项经费资助

摘　　要：In this paper we discuss the natural boundary element method for harmonic equation in an exterior elliptic domain. By studying the properties of the natural integral operator and the Poisson integral operator, we develop a numerical method to solve the natural integral equation. We also devise a fast algorithm for the solution of the corresponding system of linear equations. Finally we present some numerical results.In this paper we discuss the natural boundary element method for harmonic equation in an exterior elliptic domain. By studying the properties of the natural integral operator and the Poisson integral operator, we develop a numerical method to solve the natural integral equation. We also devise a fast algorithm for the solution of the corresponding system of linear equations. Finally we present some numerical results.

关 键 词：自然边界元法 椭圆外区域 椭圆边值问题 

分 类 号：O175.8[理学—数学]