Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
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


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




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

Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2014, Volume 54, Number 3, Pages 463–480
DOI: https://doi.org/10.7868/S0044466914030041 (Mi zvmmf10007) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Abstract theory of hybridizable discontinuous Galerkin methods for second-order quasilinear elliptic problems

R. Z. Dautov, E. M. Fedotov

Kazan Federal University, ul. Kremlevskaya 18, Kazan, 420008, Tatarstan, Russia
Full-text PDF (345 kB) Citations (11)
References:
PDF
HTML
DOI: https://doi.org/10.7868/S0044466914030041
Abstract: An abstract theory for discretizations of second-order quasilinear elliptic problems based on the mixed-hybrid discontinuous Galerkin method. Discrete schemes are formulated in terms of approximations of the solution to the problem, its gradient, flux, and the trace of the solution on the interelement boundaries. Stability and optimal error estimates are obtained under minimal assumptions on the approximating space. It is shown that the schemes admit an efficient numerical implementation.
Key words: discontinuous Galerkin method, hybridizable discontinuous Galerkin schemes, mixed method, quasilinear elliptic equations, error estimate, LBB condition.
Received: 11.06.2013
English version:
Computational Mathematics and Mathematical Physics, 2014, Volume 54, Issue 3, Pages 474–490
DOI: https://doi.org/10.1134/S096554251403004X
Bibliographic databases:
Document Type: Article
UDC: 519.632
Language: Russian
Citation: R. Z. Dautov, E. M. Fedotov, “Abstract theory of hybridizable discontinuous Galerkin methods for second-order quasilinear elliptic problems”, Zh. Vychisl. Mat. Mat. Fiz., 54:3 (2014), 463–480; Comput. Math. Math. Phys., 54:3 (2014), 474–490
Citation in format AMSBIB
\Bibitem{DauFed14}
\by R.~Z.~Dautov, E.~M.~Fedotov
\paper Abstract theory of hybridizable discontinuous Galerkin methods for second-order quasilinear elliptic problems
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2014
\vol 54
\issue 3
\pages 463--480
\mathnet{http://mi.mathnet.ru/zvmmf10007}
\crossref{https://doi.org/10.7868/S0044466914030041}
\elib{https://elibrary.ru/item.asp?id=21204608}
\transl
\jour Comput. Math. Math. Phys.
\yr 2014
\vol 54
\issue 3
\pages 474--490
\crossref{https://doi.org/10.1134/S096554251403004X}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000334236900010}
\elib{https://elibrary.ru/item.asp?id=21872408}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84898734523}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf10007
  • https://www.mathnet.ru/eng/zvmmf/v54/i3/p463
    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
    Statistics & downloads:
    Abstract page:408
    Full-text PDF :99
    References:101
    First page:22
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024