Modified two-step Levenberg-Marquardt methods in the hydraulic conductivity identification problem
Numerical methods and programming, Tome 14 (2013) no. 3, pp. 362-369
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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.
@article{VMP_2013_14_3_a11,
author = {A. V. Elesin and A. Sh. Kadyrova},
title = {Modified two-step {Levenberg-Marquardt} methods in the hydraulic conductivity identification problem},
journal = {Numerical methods and programming},
pages = {362--369},
publisher = {mathdoc},
volume = {14},
number = {3},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMP_2013_14_3_a11/}
}
TY - JOUR AU - A. V. Elesin AU - A. Sh. Kadyrova TI - Modified two-step Levenberg-Marquardt methods in the hydraulic conductivity identification problem JO - Numerical methods and programming PY - 2013 SP - 362 EP - 369 VL - 14 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VMP_2013_14_3_a11/ LA - ru ID - VMP_2013_14_3_a11 ER -
%0 Journal Article %A A. V. Elesin %A A. Sh. Kadyrova %T Modified two-step Levenberg-Marquardt methods in the hydraulic conductivity identification problem %J Numerical methods and programming %D 2013 %P 362-369 %V 14 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/VMP_2013_14_3_a11/ %G ru %F VMP_2013_14_3_a11
A. V. Elesin; A. Sh. Kadyrova. Modified two-step Levenberg-Marquardt methods in the hydraulic conductivity identification problem. Numerical methods and programming, Tome 14 (2013) no. 3, pp. 362-369. http://geodesic.mathdoc.fr/item/VMP_2013_14_3_a11/