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Applicable Analysis
An International Journal
Volume 95, 2016 - Issue 8
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Articles

The linear sampling method for sparse small aperture data

Y. GuoDepartment of Mathematics, Harbin Institute of Technology, Harbin, P.R. China.View further author information
,
P. MonkDepartment of Mathematical Sciences, University of Delaware, Newark, DE, 19716, USA.Correspondence[email protected]
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&
D. ColtonDepartment of Mathematical Sciences, University of Delaware, Newark, DE, 19716, USA.View further author information
Pages 1599-1615 | Received 05 Mar 2015, Accepted 19 Jun 2015, Published online: 16 Jul 2015

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Xiao-Mei Yang, Zhi-Liang Deng & Ailin Qian. (2023) Bayesian approach for limited-aperture inverse acoustic scattering with total variation prior. Applicable Analysis 102:15, pages 4376-4391.
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Bo Chen, Fuming Ma & Yukun Guo. (2017) Time domain scattering and inverse scattering problems in a locally perturbed half-plane. Applicable Analysis 96:8, pages 1303-1325.
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David Colton & Yuk-J. Leung. (2017) The existence of complex transmission eigenvalues for spherically stratified media. Applicable Analysis 96:1, pages 39-47.
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Articles from other publishers (16)

Ping Zhang, Pinchao Meng, Weishi Yin & Hongyu Liu. (2023) A neural network method for time-dependent inverse source problem with limited-aperture data. Journal of Computational and Applied Mathematics 421, pages 114842.
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Venkatalakshmi V. Narumanchi, Fatemeh Pourahmadian, Jordan Lum, Andrew Townsend, Joseph W. Tringe, David M. Stobbe & Todd W. Murray. (2023) Laser ultrasonic imaging of subsurface defects with the linear sampling method. Optics Express 31:5, pages 9098.
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Pinchao Meng, Lin Wang, Weishi Yin & Linhua Zhou. (2023) A novel recurrent neural network of gated unit based on Euler's method and application. Communications on Analysis and Computation 0:0, pages 0-0.
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Matthew J. Burfeindt & Hatim F. Alqadah. (2022) Qualitative inverse scattering from three-dimensional limited apertures using phase-delay frequency variation regularization. Qualitative inverse scattering from three-dimensional limited apertures using phase-delay frequency variation regularization.
Lu Zhao, Heping Dong & Fuming Ma. (2022) Inverse obstacle scattering for elastic waves in the time domain. Inverse Problems 38:4, pages 045005.
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Yanfang Liu, Yukun Guo & Jiguang Sun. (2021) A deterministic-statistical approach to reconstruct moving sources using sparse partial data. Inverse Problems 37:6, pages 065005.
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Lu Zhao, Heping Dong & Fuming Ma. (2021) Inverse obstacle scattering for acoustic waves in the time domain. Inverse Problems & Imaging 0:0, pages 0.
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Houssem Haddar & Xiaoli Liu. (2020) A time domain factorization method for obstacles with impedance boundary conditions. Inverse Problems 36:10, pages 105011.
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Pinchao Meng, Lin Su, Weishi Yin & Su Zhang. (2020) Solving a kind of inverse scattering problem of acoustic waves based on linear sampling method and neural network. Alexandria Engineering Journal 59:3, pages 1451-1462.
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Zhaoxing Li, Zhiliang Deng & Jiguang Sun. (2020) Extended-Sampling-Bayesian Method for Limited Aperture Inverse Scattering Problems. SIAM Journal on Imaging Sciences 13:1, pages 422-444.
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Xiaodong Liu & Jiguang Sun. (2019) Data recovery in inverse scattering: From limited-aperture to full-aperture. Journal of Computational Physics 386, pages 350-364.
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Aaron C Prunty & Roel K Snieder. (2019) Theory of the linear sampling method for time-dependent fields. Inverse Problems 35:5, pages 055003.
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Fioralba Cakoni, Houssem Haddar & Armin Lechleiter. (2019) On the Factorization Method for a Far Field Inverse Scattering Problem in the Time Domain. SIAM Journal on Mathematical Analysis 51:2, pages 854-872.
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Chao Zhang, Peter Huthwaite & Michael Lowe. (2018) Eliminating backwall effects in the phased array imaging of near backwall defects. The Journal of the Acoustical Society of America 144:2, pages 1075-1088.
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Bo Chen, Fuquan Zhang, Lin Xu & Minghui Liu. 2018. Advances in Smart Vehicular Technology, Transportation, Communication and Applications. Advances in Smart Vehicular Technology, Transportation, Communication and Applications 295 304 .
Fioralba Cakoni & Jacob D. Rezac. (2017) Direct imaging of small scatterers using reduced time dependent data. Journal of Computational Physics 338, pages 371-387.
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