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[1]王俊杰,王连堂.同时反演阻尼区域和系数的一种方法[J].武汉工程大学学报,2010,(05):99-102.[doi:10.3969/j.issn.16742869.2010.05.027]
　WANG Jun jie,WANG Lian tang.A method for recovering impedance coefficient and region from the field pattern[J].Journal of Wuhan Institute of Technology,2010,(05):99-102.[doi:10.3969/j.issn.16742869.2010.05.027]
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同时反演阻尼区域和系数的一种方法(/HTML)
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《武汉工程大学学报》[ISSN:1674-2869/CN:42-1779/TQ]

卷:
期数:
2010年05期
页码:
99-102
栏目:
机电与信息工程
出版日期:
2010-05-31

文章信息/Info

Title:
A method for recovering impedance coefficient and
region from the field pattern
文章编号:
6742869(2010)05009904
作者:
王俊杰1; 王连堂2
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
Author(s):
WANG Junjie1; WANG Liantang2
1.Mathematics Department of Simao Teachers College, Puer 665000，China;
2.Mathematics Department of Northwest University, Xian 710127, China
关键词:
阻尼边界条件; 亥姆霍兹方程; 反散射问题
Keywords:
impedance boundary condition; helmholtz equation; inverse scattering problem
分类号:
029
DOI:
10.3969/j.issn.16742869.2010.05.027
文献标志码:
A
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.
Abstract:
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.

参考文献/References:

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［8］王连堂,利用远场模式反演声波阻尼系数［J］.计算数学,1999,2:8998.

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备注/Memo

备注/Memo:
收稿日期：20091229作者简介：王俊杰（1981），男，山西太原人，硕士，助教.研究方向：数学物理反问题研究.
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