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Justification of the Method of Approximation of Solutions to Contact Problems of Filtration Theory

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Abstract

We suggest a new convergent algorithm for numerical solution of the nonlinear problem of finding the parameters of conformal mappings describing fluid filtration flows with free (contact) boundaries in porous media.

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References

  1. Polubarinova-Kochina P. Ya., The Theory of Motion of Ground Waters [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  2. Polubarinova-Kochina P. Ya., The Theory of Motion of Ground Waters [in Russian], Gostekhizdat, Moscow (1952).

    Google Scholar 

  3. Monakhov V. N., Boundary Value Problems with Free Boundaries for Elliptic Systems of Equations [in Russian], Nauka, Novosibirsk (1977).

    Google Scholar 

  4. Monakhov V. N., “On a variational method for solving hydrodynamical free boundary problems,” Sibirsk. Mat. Zh., 41, No. 5, 1106–1121 (2000).

    Google Scholar 

  5. Gubkina E. V. and Monakhov V. N., “Free boundary uid filtration in unbounded domains,” Prikl. Mekh. i Teor. Fiz., 41, No. 5, 188–197 (2000).

    Google Scholar 

  6. Gubkina E. V. and Monakhov V. N., “On unique solvability of one class of free boundary fluid filtration problems in porous media,” in: Regional Problems of Siberia and the Far East [in Russian], Izdat. Inst. Mat. Sibirsk. Otdel. Ross. Akad. Nauk, Novosibirsk, 2000, pp. 9–16.

    Google Scholar 

  7. Ahlfors L. V., Lectures on Quasiconformal Mappings [Russian translation], Mir, Moscow (1969).

    Google Scholar 

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Monakhov, V.N. Justification of the Method of Approximation of Solutions to Contact Problems of Filtration Theory. Siberian Mathematical Journal 43, 504–517 (2002). https://doi.org/10.1023/A:1015419803877

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  • DOI: https://doi.org/10.1023/A:1015419803877

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