反演声波阻尼系数的一种数值方法  

A numerical method for recovering the acoustic wave impedance coefficient

作　　者：麦宏晏[1] 王连堂[2] 

机构地区：[1]长安大学理学院,陕西西安710064 [2]西北大学数学系,陕西西安710069

出　　处：《西北大学学报（自然科学版）》2006年第2期186-188,共3页Journal of Northwest University（Natural Science Edition）

基　　金：陕西省自然科学基金资助项日(2002A10)

摘　　要：目的从阻尼边界条件声波散射问题的散射场的远场模式出发去反演阻尼系数。方法利用Tikhonov正则化方法将该问题转化为一个最优化问题,给出了数值方法并对其收敛性进行了严格地证明。结果成功地处理了该问题的不适定性和非线性性。结论该方法对处理第一类算子方程的不适定性是简单有效的。Aim To recover the impedance coefficient from the far field pattern of the scattered wave of the acoustic scattering problem with impedance boundary condition. Methods This problem is transformed to an optimization problem using Tikhonov regularization method and the convergence of the given numerical method is rigorously proven. Results The problem of both ill-posed and nonlinear was coped with. Conclusion The method here is successful to solve the ill-posedness of the equation of the first kind.

关 键 词：阻尼边界条件 远场模式 反演 

分 类 号：O241.83[理学—计算数学]