Zapiski Nauchnykh Seminarov POMI
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


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




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

Zapiski Nauchnykh Seminarov POMI, 1999, Volume 259, Pages 195–211 (Mi znsl1057)  
This article is cited in 31 scientific papers (total in 31 papers)

A posteriori estimates for the Stokes problem

S. I. Repin

State Technological Institute of St. Petersburg
Full-text PDF (210 kB) Citations (31)
Abstract: In this paper, a posteriori estimates for the velocity, stress and pressure fields are obtained for the stationary Stokes problem. The general estimate is a sum of three physically meaningful parts which correspond to the errors in the constitutive relations, in the incompressibility condition and in the equilibrium equation for the associated stress field. It is proved that the right-hand side of the estimate tends to zero for any sequence converging to the exact solution in the energy space.
Received: 01.12.1998
English version:
Journal of Mathematical Sciences (New York), 2002, Volume 109, Issue 5, Pages 1950–1964
DOI: https://doi.org/10.1023/A:1014400626472
Bibliographic databases:
UDC: 517.9
Language: English
Citation: S. I. Repin, “A posteriori estimates for the Stokes problem”, Boundary-value problems of mathematical physics and related problems of function theory. Part 30, Zap. Nauchn. Sem. POMI, 259, POMI, St. Petersburg, 1999, 195–211; J. Math. Sci. (New York), 109:5 (2002), 1950–1964
Citation in format AMSBIB
\Bibitem{Rep99}
\by S.~I.~Repin
\paper A posteriori estimates for the Stokes problem
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~30
\serial Zap. Nauchn. Sem. POMI
\yr 1999
\vol 259
\pages 195--211
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1057}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1754364}
\zmath{https://zbmath.org/?q=an:0978.35042}
\transl
\jour J. Math. Sci. (New York)
\yr 2002
\vol 109
\issue 5
\pages 1950--1964
\crossref{https://doi.org/10.1023/A:1014400626472}
Linking options:
  • https://www.mathnet.ru/eng/znsl1057
  • https://www.mathnet.ru/eng/znsl/v259/p195
    • This publication is cited in the following 31 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Записки научных семинаров ПОМИ
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024