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, 2012, Volume 52, Number 7, Pages 1277–1288 (Mi zvmmf9605)  
This article is cited in 4 scientific papers (total in 4 papers)

Mesh adaptation based on functional a posteriori estimates with Raviart–Thomas approximation

M. E. Frolov, M. A. Churilova

Saint-Petersburg State Polytechnical University
Full-text PDF (567 kB) Citations (4)
References:
PDF
HTML
Abstract: Adaptive algorithms based on functional a posteriori estimates for the Dirichlet problem for the stationary diffusion equation with jump discontinuities in the equation coefficients are compared. The algorithms have been implemented in MATLAB with the use of both standard finite element approximations and the zero-order Raviart–Thomas approximation. The adaptation results are analyzed using indicators of the local error distribution. Specifically, sequences of finite-element partitions, effectivity indices of estimates, and relative errors of approximate solutions are compared.
Key words: functional a posteriori estimates, stationary diffusion equation, adaptive algorithms, Raviart–Thomas approximation.
Received: 18.11.2011
Revised: 26.01.2012
English version:
Computational Mathematics and Mathematical Physics, 2012, Volume 52, Issue 7, Pages 1044–1054
DOI: https://doi.org/10.1134/S0965542512070068
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: M. E. Frolov, M. A. Churilova, “Mesh adaptation based on functional a posteriori estimates with Raviart–Thomas approximation”, Zh. Vychisl. Mat. Mat. Fiz., 52:7 (2012), 1277–1288; Comput. Math. Math. Phys., 52:7 (2012), 1044–1054
Citation in format AMSBIB
\Bibitem{FroChu12}
\by M.~E.~Frolov, M.~A.~Churilova
\paper Mesh adaptation based on functional a posteriori estimates with Raviart--Thomas approximation
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2012
\vol 52
\issue 7
\pages 1277--1288
\mathnet{http://mi.mathnet.ru/zvmmf9605}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3245222}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2012CMMPh..52.1044F}
\elib{https://elibrary.ru/item.asp?id=17780693}
\transl
\jour Comput. Math. Math. Phys.
\yr 2012
\vol 52
\issue 7
\pages 1044--1054
\crossref{https://doi.org/10.1134/S0965542512070068}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000306858900007}
\elib{https://elibrary.ru/item.asp?id=20475902}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84864403760}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf9605
  • https://www.mathnet.ru/eng/zvmmf/v52/i7/p1277
    • This publication is cited in the following 4 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:364
    Full-text PDF :111
    References:61
    First page:6
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024