RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2010, Volume 152, Book 4, Pages 39–55 (Mi uzku883)  

Iterative method for solving seepage problems in multilayer beds in the presence of a point source

I. B. Badriev, B. Ya. Fanyuk

Kazan (Volga region) Federal University, The Faculty of Computer Science and Cybernetics

Abstract: The paper is devoted to solving the stationary seepage problems of non-compressible fluid following the nonlinear multi-valued filtration law with limiting gradient in multilayer beds in the presence of a point source. This problem is mathematically formulated in the form of mixed variational inequality with inversely strongly monotone operator in Hilbert space. For the solving of the considered variational inequality the iterative splitting method is offered. Unlike the previously considered methods, this one makes it possible to find not only the pressure of the fluid, but also the filtration velocity in the domains corresponding to the multi-valued points in the filtration law. The convergence of the iterative method results is investigated.

Keywords: seepage theory, multilayer bed, point source, inversely strongly monotone operator, iterative process.

Full text: PDF file (251 kB)
References: PDF file   HTML file
UDC: 519.63+517.958+532
Received: 19.04.2010

Citation: I. B. Badriev, B. Ya. Fanyuk, “Iterative method for solving seepage problems in multilayer beds in the presence of a point source”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 152, no. 4, Kazan University, Kazan, 2010, 39–55

Citation in format AMSBIB
\Bibitem{BadFan10}
\by I.~B.~Badriev, B.~Ya.~Fanyuk
\paper Iterative method for solving seepage problems in multilayer beds in the presence of a~point source
\serial Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
\yr 2010
\vol 152
\issue 4
\pages 39--55
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku883}


Linking options:
  • http://mi.mathnet.ru/eng/uzku883
  • http://mi.mathnet.ru/eng/uzku/v152/i4/p39

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
  • Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
    Number of views:
    This page:249
    Full text:68
    References:36

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2019