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The numerical-analytic solution of boundary-value problems for the equation div(η grad ϕ) = F with piecewise-constant η

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Literature cited

  1. V. I. Aravin and S. N. Numerov, The Theory of Motion of Liquids and Gases in Undeformable Porous Media [in Russian], Gostekhizdat, Moscow (1953).

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  2. I. I. Lyashko, Solution of Filtration Problems by the Total-Representation Method [in Russian], Izd. KGU, Kiev (1963).

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  3. G. N. Polozhii, Numerical Solution of Two-Dimensional and Three-Dimensional Boundary-Value Problems of Mathematical Physics and Functions of a Discrete Argument [in Russian], Izd. KGU Kiev (1962).

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol.22, No.4, pp.557–566, July–August, 1969.

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Lyashko, I.I., Velikoivanenko, I.M. & Mistetskii, G.E. The numerical-analytic solution of boundary-value problems for the equation div(η grad ϕ) = F with piecewise-constant η. Ukr Math J 21, 477–485 (1969). https://doi.org/10.1007/BF01090790

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  • DOI: https://doi.org/10.1007/BF01090790

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