可穿透边界散射问题的数值方法  

Numerical method for the scattering problem with penetrable boundary condition

作　　者：杨阿莉[1] 王连堂[2] 王俊杰[2] 

机构地区：[1]西安工程大学理学院,陕西西安710048 [2]西北大学数学系,陕西西安710069

出　　处：《纺织高校基础科学学报》2008年第2期179-181,187,共4页Basic Sciences Journal of Textile Universities

基　　金：国家自然科学基金项目资助项目(50505036);西安工程大学校管项目(2007XG34;'2006XG31)

摘　　要：讨论了二维可穿透边界条件声波散射问题远场模式的数值计算方法.应用单双层位势组合对散射波进行逼近,将散射问题转化为积分方程问题,使用线性方程组进行求解;并给出了其中超奇异算子的求解方法及详细的推导过程.数值结果表明该方法既精确且简单.The numerical solution of acoustic scattering problem with two-dimension penetrable boundary condition was discussed. The combined single and double-layer potentials method was used to approach the scattered waves. As an important feature, this method changes the acoustic scattering problem to an integral equation. Then it is discretized to the system of linear equations. The detailed derivative process was given to solve the super singular operator. Numerical examples were given to show that this method is both accurate and simple to use.

关 键 词：声波散射问题 HELMHOLTZ方程 远场模式 

分 类 号：O175.25[理学—数学]