Bayesian Method for Shape Reconstruction in the Inverse Interior Scattering Problem

被引：15
|
作者：
Wang, Yujie [1 ]
Ma, Fuming [1 ]
Zheng, Enxi [2 ]
机构：
[1] Jilin Univ, Sch Math, Changchun 130012, Peoples R China
[2] Dalian Maritime Univ, Dept Math, Dalian 116062, Peoples R China
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2015年 / 2015卷
基金：
中国国家自然科学基金;
关键词：
DOMAIN;
D O I：
10.1155/2015/935294
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The inverse scattering problem of an interior cavity with three different boundary conditions is considered. Bayesian method is used to reconstruct the shape of the cavity from scattered fields incited by point source(s) and measured on a closed curve inside the cavity. We prove the well-posedness in Bayesian perspective and present numerical examples to show the viability of the method.
引用
收藏
页数：12
相关论文
共 50 条
  • [1] Nonlinear integral equations for shape reconstruction in the inverse interior scattering problem
    Qin, Hai-Hua
    Cakoni, Fioralba
    INVERSE PROBLEMS, 2011, 27 (03)
  • [2] A Bayesian level set method for the shape reconstruction of inverse scattering problems in elasticity
    Huang, Jiangfeng
    Li, Zhaoxing
    Wang, Bo
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2021, 97 : 18 - 27
  • [3] Reconstruction for shape and impedance in an inverse scattering problem
    Qin, Hai-Hua
    Pang, Hong-Kui
    Liu, Ji-Chuan
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2021, 98 (05) : 1015 - 1028
  • [4] A DECOMPOSITION METHOD FOR AN INTERIOR INVERSE SCATTERING PROBLEM
    Zeng, Fang
    Suarez, Pablo
    Sun, Jiguang
    INVERSE PROBLEMS AND IMAGING, 2013, 7 (01) : 291 - 303
  • [5] A hybrid method for the interior inverse scattering problem
    Wang, Yujie
    Zheng, Enxi
    Wang, Wenyan
    ELECTRONIC RESEARCH ARCHIVE, 2023, 31 (06): : 3322 - 3342
  • [6] THE INTERIOR INVERSE SCATTERING PROBLEM FOR A TWO-LAYERED CAVITY USING THE BAYESIAN METHOD
    Yin, Yunwen
    Yin, Weishi
    Meng, Pinchao
    Liu, Hongyu
    INVERSE PROBLEMS AND IMAGING, 2022, 16 (04) : 673 - 690
  • [7] Reciprocity gap method for an interior inverse scattering problem
    Zeng, Fang
    Liu, Xiaodong
    Sun, Jiguang
    Xu, Liwei
    JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2017, 25 (01): : 57 - 68
  • [8] A Bayesian method for an inverse transmission scattering problem in acoustics
    Huang, Jiangfeng
    Li, Zhaoxing
    Wang, Bo
    INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 2021, 29 (12) : 2274 - 2287
  • [9] An iterative method for the shape reconstruction of the inverse Euler problem
    Yan, Wenjing
    He, Yaling
    Ma, Yichen
    NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2012, 28 (02) : 587 - 596
  • [10] A hybrid method for inverse cavity scattering problem for shape
    Juan Liu
    Fu-ming Ma
    Applied Mathematics-A Journal of Chinese Universities, 2010, 25 : 127 - 136
12345