椭圆外区域各向异性问题的自然边界元法  

Natural Boundary Element Method for an Anisotropic Problem in an Exterior Elliptic Domain

作　　者：赵自霞[1] 杜其奎[1] 

机构地区：[1]南京师范大学数学与计算机科学学院,江苏南京210097

出　　处：《南京师大学报（自然科学版）》2008年第1期26-31,共6页Journal of Nanjing Normal University(Natural Science Edition)

基　　金：国家自然科学基金(10471067);江苏省基础研究计划(BK2006215)资助项目.

摘　　要：以Helmholtz方程为例研究一类椭圆边界各向异性外问题的自然边界元方法.通过自然边界归化,获得了该问题的自然积分方程和Poisson积分公式,给出自然积分方程的数值解法,最后给出数值例子以示文中方法的可行性与有效性.The natural boundary element method for an anisotropic problem of Helmholtz equation in an exterior elliptic domain is investigated. By the principle of natural boundary reduction, the natural integral equation and the Poisson integral formula of this problem are obtained, and a numerical method of the natural integral equation is discussed. Finally, some numerical examples are presented to demonstrate the performance of this method.

关 键 词：各向异性问题 HELMHOLTZ方程 椭圆外区域 自然边界归化 

分 类 号：O241.82[理学—计算数学]