椭圆外区域上双曲问题的自然边界元法  

Natural Boundary Element Method for the Hyperbolic Problems in an Exterior Elliptic Domain

作　　者：鞠银[1] 刘三明[1] 王美珍[1] 

机构地区：[1]上海电机学院数理教学部

出　　处：《南京师大学报（自然科学版）》2013年第1期29-36,共8页Journal of Nanjing Normal University(Natural Science Edition)

基　　金：上海市自然科学基金(12ZR1411600)

摘　　要：研究了椭圆外区域上双曲问题的自然边界元法.利用自然边界归化原理,获得该问题的Poisson积分公式及自然积分方程,给出了自然积分方程的数值方法,最后给出数值例子以示文中所得的人工边界条件的有效性.In this paper,we investigate the natural boundary element method for the hyperbolic problems in an exterior elliptic domain. By the principle of the natural boundary reduction, we obtain the Poisson integral formula and the natural integral equation,and give the numberical method of the natural integral equation. Finally, we presented some numerical examples to demonstrate the performance of our method.

关 键 词：椭圆外区域 双曲方程 外问题 自然边界归化 数值解 

分 类 号：O241.82[理学—计算数学]