二维Helmholtz方程外问题的数值解法  

NUMERICAL METHOD ON EXTERIOR BOUNDARY PROBLEM OF THE TWO-DIMENSIONAL HELMHOLTZ EQUATION

作　　者：段艳婷[1] 王连堂[1] 徐建丽[1] 

机构地区：[1]西北大学数学系,西安710069

出　　处：《数值计算与计算机应用》2011年第1期57-63,共7页Journal on Numerical Methods and Computer Applications

摘　　要：利用位势理论把Helmholtz方程外问题转化为第二类积分方程的求解问题.在处理积分算子核时,采用了一种新的裂解方式,再利用Nystrm方法求解数值结果.最后针对该方法给出数值实例,以表明此方法的有效性.The exterior problem of Helmholtz equation is transformed into solving the second integral equation by applying potential theory, and a new method is used to split off the logarithmic kernal.The it obtains numerical solution by using NystrSm method. Finally, the numerical examples are given to show the validity of the method.

关 键 词：HELMHOLTZ方程 积分方程 NYSTROM方法 位势理论 

分 类 号：O241.82[理学—计算数学]