求解二维多区域声波散射问题的边界元方法  

A boundary element method for 2-D acoustic scattering by multiple obstacles

作　　者：孟文辉[1] 

机构地区：[1]西北工业大学理学院应用数学系,陕西西安710072

出　　处：《纯粹数学与应用数学》2008年第4期670-675,共6页Pure and Applied Mathematics

基　　金：国家自然科学基金(10590353);(90405016)

摘　　要：对于多散射区域的声波散射问题的外Neumann边值问题,用单层位势来逼近每个散射域上的散射波,再利用位势理论的跳跃关系将问题转换为第二类边界积分方程组的求解问题,然后用Nystrm方法进行了求解.对多个随机散射区域的声波散射问题,数值例子体现了该求解方法的可行性和准确性.Exterior Neumann problem of 2-D acoustic scattering by multiple obstacles is considered in this paper. The scattered wave of each obstacles are described as single-layer potentials, from the jump relation theorem, boundary integral equations of the second kind will be solved for this problem, Nystrom method is used to solve the boundary integral equations. Numerical results show the accuracy of this method, and efficiency for stochastic multiple obstacles scattering problem.

关 键 词：HELMHOLTZ方程 多区域声波散射 边界元方法 

分 类 号：O241.83[理学—计算数学]