APPROXIMATE GLOBAL CONVERGENCE AND QUASIREVERSIBILITY FOR A COEFFICIENT INVERSE PROBLEM WITH BACKSCATTERING DATA

A. V. Kuzhuget; L. Beilina; M. V.   Klibanov

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APPROXIMATE GLOBAL CONVERGENCE AND QUASIREVERSIBILITY FOR A COEFFICIENT INVERSE PROBLEM WITH BACKSCATTERING DATA

机译：具有反向散射数据的系数反问题的近似全局收敛性和拟可逆性

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A numerical method possessing the approximate global convergence property is developed for a 3-D coefficient inverse problem for hyperbolic partial differential equations with backscattering data resulting from a single measurement. An important part of this technique is the quasireversibility method. An approximate global convergence theorem is proved. Results of two numerical experiments are presented. Bibliography: 46 titles. Illustrations: 2 figures.

机译：针对双曲型偏微分方程的3-D系数反问题，开发了一种具有近似全局收敛性的数值方法，该方法具有单次测量的反向散射数据。该技术的重要部分是准可逆性方法。证明了一个近似的全局收敛定理。给出了两个数值实验的结果。参考书目：46种。插图：2个数字。

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来源
《Journal of Mathematical Sciences》 |2012年第2期|p.126-163|共38页
作者
A. V. Kuzhuget; L. Beilina; M. V. Klibanov;
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Morgan Stanley & Co. Incorporated 1585 Broadway, New York, NY 10036, USA;

Chalmers University of Technology and Gothenburg University SE-42196 Gothenburg, Sweden;

University of North Carolina at Charlotte Charlotte, NC 28223, USA;

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1. A new approximate mathematical model for global convergence for a coefficient inverse problem with backscattering data [J] . Beilina L., Klibanov M.V. Journal of inverse and ill-posed problems . 2012,第4期

机译：具有反向散射数据的系数逆问题全局收敛的新近似数学模型
2. The philosophy of the approximate global convergence for multidimensional coefficient inverse problems [J] . Beilina L., Klibanov M.V. Complex variables and elliptic equations . 2012,第2a4期

机译：多维系数逆问题的近似全局收敛原理
3. The philosophy of the approximate global convergence for multidimensional coefficient inverse problems [J] . Larisa Beilina Michael V. Klibanov* Complex Variables and Elliptic Equations: An International Journal . 2012,第2a4期

机译：多维系数逆问题的近似全局收敛原理
4. A study of QuikSCAT measured backscattering coefficient data over global natural targets [C] . K N Babu, Abhijit Sarkar, K Satheesan, Remote Sensing of the Marine Environment; Proceedings of SPIE-The International Society for Optical Engineering; vol.6406 . 2006

机译：QuikSCAT对全球自然目标上测得的反向散射系数数据的研究
5. Global convergence and quasi reversibility for coefficient inverse problems [D] . Kuzhuget, Andrey. 2011

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6. Analysis of the Dielectric Constant of Saline-Alkali Soils and the Effect on Radar Backscattering Coefficient: A Case Study of Soda Alkaline Saline Soils in Western Jilin Province Using RADARSAT-2 Data [O] . Yang-yang Li, Kai Zhao, Jian-hua Ren, -1

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7. Approximate global convergence and quasi-reversibility for a coefficient inverse problem with backscattering data [O] . Andrey V. Kuzhuget, Larisa Beilina, Michael V. Klibanov, 2013

机译：具有后向散射数据的系数反问题的近似全局收敛性和准可逆性
8. Approximate Global Convergence and Quasi-Reversibility for a Coefficient Inverse Problem with Backscattering Data [R] . Kuzhuget, A. V., Beilina, L., Klibanov, M. V., 2011

机译：具有后向散射数据的系数反问题的近似全局收敛性和拟可逆性

APPROXIMATE GLOBAL CONVERGENCE AND QUASIREVERSIBILITY FOR A COEFFICIENT INVERSE PROBLEM WITH BACKSCATTERING DATA

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