可穿透障碍在两层介质中的声波散射问题数值解  

ON THE NUMERICAL SOLUTION OF THE SCATTERING PROBLEM FOR A PENETRABLE CYLINDER BURIED IN TWO DIELECTRIC CYLINDERS

作　　者：于继茜[1] 王连堂[1] 刘哲[2] 

机构地区：[1]西北大学数学系,西安710000 [2]西安交通大学电子与信息工程学院,西安710000

出　　处：《数值计算与计算机应用》2011年第4期307-314,共8页Journal on Numerical Methods and Computer Applications

摘　　要：利用单双层位势的组合及跳跃关系理论,将可穿透障碍在两层介质中的声波散射问题转化为一个边界积分方程组的求解问题.积分算子分为包含奇异性积分核与无奇性的积分核两种,对其采用Nystrm方法进行离散求解.最后给出该方法的几个数值算例,验证了其可行性和有效性.The numerical solution of the scattering problem lor a penetrable cylinder burma in two dielectric cylinders is transformed into solving boundary integral equations, by applying the jump relationship and the combined double and single-layer potentials theory. The integral operators divide into two kinds： one is including the logarithmic kernal,the other is including non-logarithmic kernal. Then it obtains the numerical solution by applying the Nystrom method. Finally, the numerical examples were given to test the efficiency and feasibility of the method.

关 键 词：声波散射问题 位势理论 边界积分方程 Nystrm方法 

分 类 号：O422.5[理学—声学]