基于Kress变换的开弧问题数值解  

On the numerical solution of open arc problem based on the Kress transformation

作　　者：杨树伟[1] 王连堂[1] 巩星田[2] 

机构地区：[1]西北大学数学学院,陕西西安710127 [2]湘潭大学数学系,湖南湘潭411105

出　　处：《西北大学学报（自然科学版）》2015年第3期369-372,共4页Journal of Northwest University（Natural Science Edition）

基　　金：国家自然科学基金资助项目(11401144)

摘　　要：关于Helmholtz方程开弧问题,首先通过位势理论将其转化为边界积分方程问题,然后采用Kress变换将其化为近似闭区域上的问题。最后给出远场模式的数值解以检验数值方法的有效性和可行性。The paper is on the open are：boundary problem of Helmhohz equation. Reduce it into boundary in- tegral equation problem by potential theory, then using Kress transformation, the problem which is closely re- lated to the integral equation for the case of a closed boundary is obtained. And numerical results of far-field pattern are presented to test the applicability and the effectiveness of the method.

关 键 词：HELMHOLTZ方程 Kress变换 Dirichlet边界 

分 类 号：O241.8[理学—计算数学]