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Nystrm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.
出处
《数值计算与计算机应用》
CSCD
北大核心
2011年第4期307-314,共8页
Journal on Numerical Methods and Computer Applications