用Backus-Gilbert方法求解声波散射问题  

Backus-Gilbert method for acoustic wave scattering problem

作　　者：王俊杰[1] 王连堂[1] 

机构地区：[1]西北大学数学系,陕西西安710127

出　　处：《纯粹数学与应用数学》2008年第3期601-604,共4页Pure and Applied Mathematics

摘　　要：利用位势理论将散射问题的外边界问题转化为第一类边界积分方程求解,再利用Backus-Gilbert方法给出了二维空间的数值结果,与Tikhonov正则化方法比较,虽然精度稍差一些,但是计算方法和计算机实现比较简单.A Backus-Gilbert method is presented to solve the time-harmonic acoustic wave scattering problem.Potential theory is used to transfer the exterior boundary value problem into the boundary integral equation of the first kind .Numerical result in two dimension is given compared with Tikhonov regularization method , this method has less accuracy, but compute is more simple.

关 键 词：Backus-Gilbert方法 第一类积分方程 声波散射 

分 类 号：O29[理学—应用数学]