Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. Vyssh. Uchebn. Zaved. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 3, Pages 10–19 (Mi ivm7241)  
A multigrid method for weakly nonlinear elliptic equations of the second order

M. M. Karchevskii

Chair of Computational Mathematics, Kazan State University, Kazan, Russia
Full-text PDF (202 kB)
References:
PDF
HTML
Abstract: We consider the Dirichlet problem for the weakly nonlinear elliptic equation of second order in divergence form. The convergence of the multigrid method for solving of this problem is proved. The method that we investigate is based on the application of conform finite elements and the Jacobi smoother procedure.
Keywords: weakly nonlinear elliptic equation, finite element method, multigrid iteration method.
Received: 15.09.2009
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 3, Pages 8–16
DOI: https://doi.org/10.3103/S1066369X11030029
Bibliographic databases:
Document Type: Article
UDC: 519.68
Language: Russian
Citation: M. M. Karchevskii, “A multigrid method for weakly nonlinear elliptic equations of the second order”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 3, 10–19; Russian Math. (Iz. VUZ), 55:3 (2011), 8–16
Citation in format AMSBIB
\Bibitem{Kar11}
\by M.~M.~Karchevskii
\paper A multigrid method for weakly nonlinear elliptic equations of the second order
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 3
\pages 10--19
\mathnet{http://mi.mathnet.ru/ivm7241}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2919803}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 3
\pages 8--16
\crossref{https://doi.org/10.3103/S1066369X11030029}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79953000470}
Linking options:
  • https://www.mathnet.ru/eng/ivm7241
  • https://www.mathnet.ru/eng/ivm/y2011/i3/p10
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024