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Numerical methods and programming, 2013, Volume 14, Issue 3, Pages 362–369 (Mi vmp124)  
Вычислительные методы и приложения

Modified two-step Levenberg-Marquardt methods in the hydraulic conductivity identification problem

A. V. Elesin, A. Sh. Kadyrova

Research Institute of Mechanics and Machinery of Kazan Scientific Center of the Russian Academy of Sciences
Full-text PDF (228 kB)
Abstract: Some modifications of two-step Levenberg–Marquardt methods are proposed for the minimization of a residual function. The methods are used to numerically solve a model problem of hydraulic conductivity identification for a three-dimensional anisotropic confined aquifer. The efficiency of the modified two-step Levenberg-Marquardt methods is shown for the problems with and without errors in pressure measurements.
Keywords: minimization of residual functions; inverse problems.
Received: 03.06.2013
Document Type: Article
UDC: 519.6
Language: Russian
Citation: A. V. Elesin, A. Sh. Kadyrova, “Modified two-step Levenberg-Marquardt methods in the hydraulic conductivity identification problem”, Num. Meth. Prog., 14:3 (2013), 362–369
Citation in format AMSBIB
\Bibitem{EleKad13}
\by A.~V.~Elesin, A.~Sh.~Kadyrova
\paper Modified two-step Levenberg-Marquardt methods in the hydraulic conductivity identification problem
\jour Num. Meth. Prog.
\yr 2013
\vol 14
\issue 3
\pages 362--369
\mathnet{http://mi.mathnet.ru/vmp124}
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