Geodesic
Minimization of residual function by quasi-gradient method for identification of the hydraulic conductivity in case of three-dimensional anisotropic aquifer
Matematičeskoe modelirovanie, Tome 16 (2004) no. 8, pp. 99-113

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The identification problem of the hydraulic conductivity in the three-dimensional anisotropic confined aquifer is solved in case of one-phase filtration according to the head values in observation locations. A new quasi-gradient algorithm has been proposed for minimization of a residual function. The sensitivity storage distribution is used for constructing this algorithm. The properties of a residual function in minimum point have been analyzed. These properties are the basis of a new stopping criterion. In this criterion the knowledge of errors in head data is not required. 
@article{MM_2004_16_8_a8,
     author = {A. V. Elesin and P. A. Mazurov},
     title = {Minimization of residual function by quasi-gradient method for identification of the hydraulic conductivity in case of three-dimensional anisotropic aquifer},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {99--113},
     publisher = {mathdoc},
     volume = {16},
     number = {8},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2004_16_8_a8/}
}
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A. V. Elesin; P. A. Mazurov. Minimization of residual function by quasi-gradient method for identification of the hydraulic conductivity in case of three-dimensional anisotropic aquifer. Matematičeskoe modelirovanie, Tome 16 (2004) no. 8, pp. 99-113. http://geodesic.mathdoc.fr/item/MM_2004_16_8_a8/