"Modified two-step Levenberg-Marquardt methods in the hydraulic conductivity identification problem"
Elesun A.V., Kadyrova A.Sh.

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 function, inverse problem

Elesun A.V., e-mail: elesin@mail.knc.ru;   Kadyrova A.Sh., e-mail: kadyirova@mail.knc.ru – Institute for Mechanics and Engineering, Kazan Science Center, Russian Academy of Sciences; ulitsa Lobachevskogo, 2/31, Kazan 420111 Russia