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Applicable Analysis
An International Journal
Volume 93, 2014 - Issue 5
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Articles

The inverse scattering problem for a partially coated cavity with interior measurements

Yuqing HuDepartment of Mathematics, Southeast University, 210096, Nanjing, China.
,
Fioralba CakoniDepartment of Mathematical Sciences, University of Delaware, 19716, Newark, Delaware, USA.Correspondence[email protected]
&
Jijun LiuDepartment of Mathematics, Southeast University, 210096, Nanjing, China.
Pages 936-956 | Received 22 Jan 2013, Accepted 29 Apr 2013, Published online: 18 Jun 2013

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Hai-Hua Qin, Hong-Kui Pang & Ji-Chuan Liu. (2021) Reconstruction for shape and impedance in an inverse scattering problem. International Journal of Computer Mathematics 98:5, pages 1015-1028.
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J. Guo, D. Ning, G. Yan & Qinghua Wu. (2018) Reconstruction of a penetrable cavity and the external obstacle. Applicable Analysis 97:10, pages 1730-1750.
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Lihan Liu. (2017) The inverse scattering problem for a partially coated penetrable cavity with interior measurements. Applicable Analysis 96:5, pages 844-868.
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Yao Sun, Yukun Guo & Fuming Ma. (2016) The reciprocity gap functional method for the inverse scattering problem for cavities. Applicable Analysis 95:6, pages 1327-1346.
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Articles from other publishers (21)

Jianguo Ye & Guozheng Yan. (2024) The inverse scattering problem for an inhomogeneous two-layered cavity. Journal of Inverse and Ill-posed Problems 32:2, pages 161-181.
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Jianli Xiang & Guozheng Yan. (2024) Modified linear sampling method for inverse scattering by a partially coated dielectric. Journal of Inverse and Ill-posed Problems 0:0.
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Deyue Zhang, Yukun Guo, Yinglin Wang & Yan Chang. (2023) Co-inversion of a scattering cavity and its internal sources: uniqueness, decoupling and imaging. Inverse Problems 39:6, pages 065004.
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Jianguo Ye & Guozheng Yan. (2023) The Linear Sampling Method for Reconstructing a Penetrable Cavity with Unknown External Obstacles. Acta Mathematica Scientia 43:2, pages 751-776.
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Shuxin Li, Junliang Lv & Yi Wang. (2023) Numerical method for the inverse interior scattering problem from phaseless data. Inverse Problems and Imaging 0:0, pages 0-0.
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Yujie Wang, Enxi Zheng & Wenyan Wang. (2023) A hybrid method for the interior inverse scattering problem. Electronic Research Archive 31:6, pages 3322-3342.
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Jianguo Ye & Guozheng Yan. (2022) The factorization method for inverse scattering by a two-layered cavity with conductive boundary condition. IMA Journal of Applied Mathematics 87:2, pages 260-290.
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Deyue Zhang, Yue Wu, Yinglin Wang & Yukun Guo. (2022) A direct imaging method for the exterior and interior inverse scattering problems. Inverse Problems and Imaging 16:5, pages 1299.
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Xianghe Zhu, Chaoquan Peng & Jun Guo. (2021) The direct scattering problem for penetrable obstacles included in a cavity. Indian Journal of Pure and Applied Mathematics 52:2, pages 313-322.
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Yanli Cui & Fenglong Qu. (2020) Identification of the interface between acoustic and elastic waves from internal measurements. Journal of Inverse and Ill-posed Problems 28:3, pages 313-322.
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Lihan Liu, Jingqiu Cai & Yongzhi Steve Xu. (2019) Regularized Newton iteration method for a penetrable cavity with internal measurements in inverse scattering problem. Mathematical Methods in the Applied Sciences 43:5, pages 2665-2678.
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Deyue Zhang, Yinglin Wang, Yukun Guo & Jingzhi Li. (2020) Uniqueness in inverse cavity scattering problems with phaseless near-field data. Inverse Problems 36:2, pages 025004.
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Weishi Yin, Jiawei Ge, Pinchao Meng & Fuheng Qu. (2020) A neural network method for the inverse scattering problem of impenetrable cavities. Electronic Research Archive 28:2, pages 1123-1142.
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Fenglong Qu & Jiaqing Yang. (2019) Unique determination of inverse electromagnetic scattering by a two-layered cavity. Inverse Problems 35:12, pages 125010.
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Jun Guo, Qing Yang, Mingjian Cai, Guozheng Yan & Zhongkai Guo. (2019) Reconstruction of a crack with the incident waves and measurements inside a penetrable cavity. Journal of Inverse and Ill-posed Problems 27:5, pages 643-656.
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Fenglong Qu, Jiaqing Yang & Haiwen Zhang. (2019) Shape Reconstruction in Inverse Scattering by an Inhomogeneous Cavity with Internal Measurements. SIAM Journal on Imaging Sciences 12:2, pages 788-808.
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Fang Zeng, Xiaodong Liu, Jiguang Sun & Liwei Xu. (2017) Reciprocity gap method for an interior inverse scattering problem. Journal of Inverse and Ill-posed Problems 25:1, pages 57-68.
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Fang Zeng, Xiaodong Liu, Jiguang Sun & Liwei Xu. (2016) The reciprocity gap method for a cavity in an inhomogeneous medium. Inverse Problems and Imaging 10:3, pages 855-868.
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Qinghua Wu & Guozheng Yan. (2016) The factorization method for a partially coated cavity in inverse scattering. Inverse Problems and Imaging 10:1, pages 263-279.
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Hai-Hua Qin & Xiaodong Liu. (2015) The interior inverse scattering problem for cavities with an artificial obstacle. Applied Numerical Mathematics 88, pages 18-30.
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Yujie Wang, Fuming Ma & Enxi Zheng. (2015) Bayesian Method for Shape Reconstruction in the Inverse Interior Scattering Problem. Mathematical Problems in Engineering 2015, pages 1-12.
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