Geodesic
The solution to a problem of groundwater salt-heat transport by an incomplete factorization technique
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 2 (1999) no. 1, pp. 69-80 
V. I. Sabinin. The solution to a problem of groundwater salt-heat transport by an incomplete factorization technique. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 2 (1999) no. 1, pp. 69-80. http://geodesic.mathdoc.fr/item/SJVM_1999_2_1_a6/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Mathematical model of the groundwater salt-heat transport on which freezers affect as protective screens is described. A numerical method of the solution, realizing this model with the help of iterative incomplete factorization techniques is offered. Outcomes of calculations of a groundwater contaminant filtration to two rivers and a water intake, and also ones of dynamics of an icing of a horizontal series of underground freezers in a salt flow are resulted, which demonstrate efficiency and economy of the method.

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[2] Ber Ya., Zaslavski D., Irmei S., Fiziko-matematicheskie osnovy filtratsii vody, Mir, M., 1977

[3] Samarskii A. A., Teoriya raznostnykh skhem, Nauka, M., 1977 | MR | Zbl

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[7] Sabinin V. I., “Metod priblizhennoi faktorizatsii dlya resheniya raznostnykh uravnenii konvektivnoi dispersii”, Dinamika sploshnoi sredy. Sb. nauch. tr., 111, In-t gidrodinamiki SO RAN, Novosibirsk, 1996, 117–123 | MR

[8] Samarskii A. A., Andreev V. B., Raznostnye metody dlya ellipticheskikh uravnenii, Nauka, M., 1976 | MR | Zbl

[9] Sabinin V.I. Rezhim drenazhnykh promyvok i prognoz kachestva rassoleniya, Dinamika sploshnoi sredy. Sb. nauch. tr., 90, In-t gidrodinamiki SO AN SSSR, Novosibirsk, 1989, 106–119