Sibirskii Zhurnal Vychislitel'noi Matematiki
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


Sib. Zh. Vychisl. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Sibirskii Zhurnal Vychislitel'noi Matematiki, 2017, Volume 20, Number 4, Pages 425–437
DOI: https://doi.org/10.15372/SJNM20170406 (Mi sjvm661) 		 
This article is cited in 7 scientific papers (total in 7 papers)

A boundary value problem for one overdetermined stationary system emerging in the two-velocity hydrodynamics

M. V. Urevabc, Kh. Kh. Imomnazarova, Jian-Gang Tangd

a Institute of Computational Mathematics and Mathematical Geophysics SB RAS, 6 Lavrentiev av., Novosibirsk, 630090, Russia
b Novosibirsk State University, 2 Pirogova str., Novosibirsk, 630090, Russia
c Siberian Institute of Management — branch of the Russian Academy of National Economy and Public Service (RANE&PS), 6 Nizhegorodskya str., Novosibirsk, 630102, Russia
d YiLi Normal University, 448, Jiefang Road, Yinning Xinjiang, P.R. of China
Full-text PDF (559 kB) Citations (7)
References:
PDF
HTML
DOI: https://doi.org/10.15372/SJNM20170406
Abstract: In this paper we investigate the two-velocity stationary hydrodynamics system with a single pressure and inhomogeneous divergent and boundary conditions for the two velocities. This system is overdetermined. By replacing the unknown functions, the problem is reduced to a homogeneous one. The solution of the resulting system is reduced to the consecutive solutions of the two boundary value problems: the Stokes problem for a single velocity and pressure, and overdetermined system for the other velocity. We present the generalized statements of these problems and their discrete approximation using the finite element method. To solve the overdetermined problem we apply a version of the regularization methods.
Key words: overdetermined two-velocity stationary hydrodynamics system, Lagrange multiplier, finite element method.
Funding agency Grant number
Russian Foundation for Basic Research 14-11-00485П
Received: 10.01.2017
Revised: 18.05.2017
English version:
Numerical Analysis and Applications, 2017, Volume 10, Issue 4, Pages 347–357
DOI: https://doi.org/10.1134/S1995423917040061
Bibliographic databases:
Document Type: Article
UDC: 519.632
Language: Russian
Citation: M. V. Urev, Kh. Kh. Imomnazarov, Jian-Gang Tang, “A boundary value problem for one overdetermined stationary system emerging in the two-velocity hydrodynamics”, Sib. Zh. Vychisl. Mat., 20:4 (2017), 425–437; Num. Anal. Appl., 10:4 (2017), 347–357
Citation in format AMSBIB
\Bibitem{UreImoTan17}
\by M.~V.~Urev, Kh.~Kh.~Imomnazarov, Jian-Gang~Tang
\paper A boundary value problem for one overdetermined stationary system emerging in the two-velocity hydrodynamics
\jour Sib. Zh. Vychisl. Mat.
\yr 2017
\vol 20
\issue 4
\pages 425--437
\mathnet{http://mi.mathnet.ru/sjvm661}
\crossref{https://doi.org/10.15372/SJNM20170406}
\elib{https://elibrary.ru/item.asp?id=30564539}
\transl
\jour Num. Anal. Appl.
\yr 2017
\vol 10
\issue 4
\pages 347--357
\crossref{https://doi.org/10.1134/S1995423917040061}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000426352400006}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85042700920}
Linking options:
  • https://www.mathnet.ru/eng/sjvm661
  • https://www.mathnet.ru/eng/sjvm/v20/i4/p425
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Sibirskii Zhurnal Vychislitel'noi Matematiki
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025