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Numerical solution of the nonlinear seepage problem in a domain with an unknown boundary

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Abstract

A finite-element algorithm is developed for the problem of headless steady nonlinear seepage (boundary-value problem for a nonlinear elliptic equation in a domain with an unknown boundary) in a multicomponent medium with a piecewise-linear boundary. Numerical solution results are reported for a number of problems. The effects of the form of the nonlinearity on the characteristics of the seepage process are considered.

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Literature cited

  1. O. V. Malov and E. G. Sheshukov, “Numerical method for calculating nonlinear anisotropic seepage in the rectangular core of an earth dam,” Tr. Semin. Kraevym Zadacham, No. 19, 107–114 (1983).

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  2. G. E. Mistetskii, Unsteady seepage in anisotrpic porous materials,” Dokl. Akad. Nauk SSSR,273, No. 6, 1336–1338 (1983).

    Google Scholar 

  3. P. Ya. Polubarinova-Kochina, Theory of Groundwater Motion [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  4. F. I. Sheshukova, “Solution of the nonlinear seepage problem in anisotropic soil,” Tr. Semin. Kraevym Zadacham, No. 21, 217–223 (1984).

    Google Scholar 

  5. S. N. Numerov, “Nonlinear seepage in anisotropic media,” in: 15th Congr. Int. Association Hydraulic Res., No. 3, 39–46 (1973).

    Google Scholar 

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Authors and Affiliations

  1. Kiev University, USSR

    V. V. Skopetskii, V. S. Deineka & L. I. Sklepovaya

Authors
  1. V. V. Skopetskii
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  2. V. S. Deineka
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  3. L. I. Sklepovaya
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Additional information

Translated from Vychislitel'naya i Prikladnaya Matematika, No. 61, pp. 83–90, 1987.

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Skopetskii, V.V., Deineka, V.S. & Sklepovaya, L.I. Numerical solution of the nonlinear seepage problem in a domain with an unknown boundary. J Math Sci 63, 471–475 (1993). https://doi.org/10.1007/BF01849533

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  • DOI: https://doi.org/10.1007/BF01849533

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