Dirichlet边界条件的声波散射问题的两种数值方法  

Two numerical methods for acoustic wave scattering problem with Dirichlet boundary condition

作　　者：薛晓[1] 

机构地区：[1]西北农林科技大学理学院,陕西杨凌712100

出　　处：《齐齐哈尔大学学报（自然科学版）》2010年第4期83-87,共5页Journal of Qiqihar University(Natural Science Edition)

摘　　要：利用单层位势理论将声波散射的外边值问题转化为第一类边界积分方程,采用迭代的Tikhonov正则化和改进的Tikhonov正则化方法求解,给出了二维空间的数值实例。与Nystrom方法相比,计算简单得到的精度却一样。A iterated Tikhonov regularization method and a modified Tikhonov regularization method are applied to solve the time-harmonic acoustic wave scattering problem.The single-layer potential theory is used to transfer the exterior boundary value problem into the boundary integral equations of the first kind.Numerical example in two dimensions is given.As compared with ordinary Nystrom method,both methods are accurate and simple to use.

关 键 词：HELMHOLTZ方程 第一类积分方程 远场模式 

分 类 号：O241.8[理学—计算数学]