An Inverse Diffraction Problem: Shape Reconstruction

被引：3
|
作者：
Kong, Yanfeng [1 ]
Li, Zhenping
Xiong, Xiangtuan [1 ]
机构：
[1] Northwest Normal Univ, Dept Math, Lanzhou, Gansu, Peoples R China
来源：
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS | 2015年 / 5卷 / 04期
关键词：
Inverse diffraction problem; ill-posed problems; Tikhonov regularisation; stability estimate; error estimate; SECB; ILL-POSED PROBLEMS; GENERAL SOURCE CONDITIONS; CAUCHY-PROBLEM; HELMHOLTZ-EQUATION; REGULARIZATION METHODS; CONDITIONAL STABILITY; BLIND DECONVOLUTION; ELLIPTIC-OPERATORS; CONTINUITY; MODULUS;
D O I：
10.4208/eajam.310315.250915a
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An inverse diffraction problem is considered. Both classical Tikhonov regularisation and a slow-evolution-from-the-continuation-boundary (SECB) method are used to solve the ill-posed problem. Regularisation error estimates for the two methods are compared, and the SECB method is seen to be an improvement on the classical Tikhonov method. Two numerical examples demonstrate their feasibility and efficiency.
引用
收藏
页码：342 / 360
页数：19
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