同时反演阻尼区域和系数的一种方法  

A method for recovering impedance coefficient and region from the field pattern

作　　者：王俊杰[1] 王连堂[2] 

机构地区：[1]思茅师范高等专科学校数学系,云南普洱665000 [2]西北大学数学系,陕西西安710127

出　　处：《武汉工程大学学报》2010年第5期99-102,共4页Journal of Wuhan Institute of Technology

摘　　要：反演区域和阻尼边界条件中的阻尼系数是一类重要的数学物理反问题,有广泛的应用前景.对于分别反演区域和阻尼系数已有不少研究,而同时反演区域和阻尼系数由于计算的复杂性,到现在研究还比较少.本文利用散射波的远场数据来同时反演阻尼区域和系数,并给出了数值方法,数值例子表明这中方法的简单性和准确性.Recovering the region and impedance coefficient in impedance boundary condition is a class important inverse problem of mathematical physics.There is a wide range of application.There are a number of studies for Recovering the region or impedance coefficient,but there are less studies for Recovering the region and impedance coefficient.The paper use the data of the far field pattern to determine the region and impedance coefficient of an obstacle.An approximation method is presented.Numerical examples are given showing that this method is both accurate and simple.

关 键 词：阻尼边界条件 亥姆霍兹方程 反散射问题 

分 类 号：O29[理学—应用数学]