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Applicable Analysis
An International Journal
Volume 89, 2010 - Issue 1
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Original Articles

Global convergence for a 1-D inverse problem with application to imaging of land mines

Andrey V. Kuzhuget Department of Mathematics and Statistics, University of North Carolina at Charlotte, Charlotte, NC 28223, USA
&
Michael V. Klibanov Department of Mathematics and Statistics, University of North Carolina at Charlotte, Charlotte, NC 28223, USACorrespondence[email protected]
Pages 125-157 | Received 19 Sep 2009, Accepted 10 Nov 2009, Published online: 19 Jan 2010

Citations (16)

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Read on this site (2)

Vo Anh  Khoa, Grant W. Bidney, Michael V. Klibanov, Loc H. Nguyen, Lam H. Nguyen, Anders J. Sullivan & Vasily N. Astratov. (2021) An inverse problem of a simultaneous reconstruction of the dielectric constant and conductivity from experimental backscattering data. Inverse Problems in Science and Engineering 29:5, pages 712-735.
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Larisa Beilina & Michael V. Klibanov. (2012) The philosophy of the approximate global convergence for multidimensional coefficient inverse problems. Complex Variables and Elliptic Equations 57:2-4, pages 277-299.
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Articles from other publishers (14)

T. Le, V. A. Khoa, M. V. Klibanov, L. H. Nguyen, G. W. Bidney & V. N. Astratov. (2024) Numerical Verification of the Convexification Method for a Frequency-Dependent Inverse Scattering Problem with Experimental Data. Journal of Applied and Industrial Mathematics 17:4, pages 908-927.
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Thuy T. Le & Loc H. Nguyen. (2022) The Gradient Descent Method for the Convexification to Solve Boundary Value Problems of Quasi-Linear PDEs and a Coefficient Inverse Problem. Journal of Scientific Computing 91:3.
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Vo Anh Khoa, Grant W Bidney, Michael V Klibanov, Loc H Nguyen, Lam H Nguyen, Anders J Sullivan & Vasily N Astratov. (2020) Convexification and experimental data for a 3D inverse scattering problem with the moving point source. Inverse Problems 36:8, pages 085007.
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Vo Anh Khoa, Michael Victor Klibanov & Loc Hoang Nguyen. (2020) Convexification for a Three-Dimensional Inverse Scattering Problem with the Moving Point Source. SIAM Journal on Imaging Sciences 13:2, pages 871-904.
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Michael V. Klibanov & Aleksandr E. Kolesov. (2019) Convexification of a 3-D coefficient inverse scattering problem. Computers & Mathematics with Applications 77:6, pages 1681-1702.
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Michael V Klibanov, Aleksandr E Kolesov, Anders Sullivan & Lam Nguyen. (2018) A new version of the convexification method for a 1D coefficient inverse problem with experimental data. Inverse Problems 34:11, pages 115014.
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Larisa Beilina & Evgenii Karchevskii. 2015. Inverse Problems and Applications. Inverse Problems and Applications 125 134 .
Andrey L. Karchevsky, Michael V. Klibanov, Lam Nguyen, Natee Pantong & Anders Sullivan. (2013) The Krein method and the globally convergent method for experimental data. Applied Numerical Mathematics 74, pages 111-127.
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Andrey V. Kuzhuget, Larisa Beilina, Michael V. Klibanov, Anders Sullivan, Lam Nguyen & Michael A. Fiddy. (2013) Quantitative Image Recovery From Measured Blind Backscattered Data Using a Globally Convergent Inverse Method. IEEE Transactions on Geoscience and Remote Sensing 51:5, pages 2937-2948.
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Larisa Beilina & Michael V. Klibanov. 2013. Applied Inverse Problems. Applied Inverse Problems 15 36 .
A. V. Kuzhuget, L. Beilina & M. V. Klibanov. (2012) Approximate global convergence and quasireversibility for a coefficient inverse problem with backscattering data. Journal of Mathematical Sciences 181:2, pages 126-163.
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Michael V Klibanov. (2011) Uniqueness of an inverse problem with single measurement data generated by a plane wave in partial finite differences. Inverse Problems 27:11, pages 115005.
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L. Beilina, M. V. Klibanov & A. Kuzhuget. (2011) New a posteriori error estimates for adaptivity technique and global convergence for the hyperbolic coefficient inverse problem. Journal of Mathematical Sciences 172:4, pages 449-476.
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M Asadzadeh & L Beilina. (2010) A posteriori error estimates in a globally convergent FEM for a hyperbolic coefficient inverse problem . Inverse Problems 26:11, pages 115007.
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