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Numerical solution of the zero-head seepage problem by discretization of the variational inequality

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Abstract

The problem of zero-head seepage through a cutoff is reduced to solving a variational inequality which is discretized by the finite element method. The discrete variational inequality is solved by a two-layer iterative process. A rate of convergence bound is obtained for the approximate solution and the optimal parameters of the two-layer iterative process are determined. A numerical experiment supports the theoretical results.

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Authors and Affiliations

  1. Institute of Cybernetics, Academy of Sciences of the Ukrainian SSR, Ukraine

    V. V. Skopetskii, V. S. Deineka & S. I. Rybachishin

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

Translated from Vychislitel'naya i Prikladnaya Matematika, No. 58, pp. 45–56, 1986.

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Skopetskii, V.V., Deineka, V.S. & Rybachishin, S.I. Numerical solution of the zero-head seepage problem by discretization of the variational inequality. J Math Sci 58, 426–434 (1992). https://doi.org/10.1007/BF01100068

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  • DOI: https://doi.org/10.1007/BF01100068

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