摘要
1.引 言为求解微分方程的外边值问题常需要引进人工边界（见[1-4]）,对人工边界外部区域作自然边界归化得到的自然积分方程即Dirichlet-Neumann映射,正是人工边界上的准确的边界条件（见[2-6]）,这是一类非局部边界条件.自然积分算子即Dirichlet-Neumann算子,
In this paper, the natural integral operator(D-N operator) and natural boundary element method for harmonic problem over exterior elliptic domain are discussed. Based on this ,the natural boundary reduction for a kind of exterior problem of anisotropic elliptic equation with constant coefficients is studied, the natural integral equation and its solution on circular and elliptic boundaries are obtained. These results can be directly applied to coupling method and domain decomposition methods for exterior boundary value problem. Especially, when the problem is over an exterior domain of a slender obstacle , these methods are more effective.
出处
《计算数学》
CSCD
北大核心
2002年第3期375-384,共10页
Mathematica Numerica Sinica
基金
国家重点基础研究专项经费(G19990328)
中国科学院数学与系统科学研究院创新经费资助项目.
