Loading [MathJax]/jax/output/SVG/config.js
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, 2020, Volume 23, Number 2, Pages 165–181
DOI: https://doi.org/10.15372/SJNM20200205 (Mi sjvm741) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Finite element method for the Stokes–Darcy problem with a new boundary condition

O. El Mouteaa, H. El Amria, A. El Akkadb

a Ecole Normale Supérieure Casablanca, Faculté des Sciences Aïn Chock Université Hassan II, Route d'El Jadida, km. 9, Ghandi-Casablanca, 50069, Morocco
b Centre Régional des Métiers d'Education et de Formation de Fès Meknès, Rue de Koweit, 49, Fés, 30050, Morocco
Full-text PDF (3521 kB) Citations (6)
References:
PDF
HTML
DOI: https://doi.org/10.15372/SJNM20200205
Abstract: This paper considers numerical methods for approaching and simulate the Stokes–Darcy problem, with a new boundary condition. We study herein a robust stabilized fully mixed discretization technique, this method ensures the stability of the finite element scheme and does not use any Lagrange multipliers to introduce a stabilization term in the temporal Stokes–Darcy problem discretization. The well-posedness of the finite element scheme and its convergence analysis are also derived. Finally, the efficiency and accuracy of the numerical methods are illustrated by different numerical tests
Key words: Stokes–Darcy problem, mixed finite element method, free flow, porous media flow, stabilized scheme.
Received: 05.02.2019
Revised: 10.04.2019
Accepted: 19.12.2019
English version:
Numerical Analysis and Applications, 2020, Volume 13, Issue 2, Pages 136–151
DOI: https://doi.org/10.1134/S1995423920020056
Bibliographic databases:
Document Type: Article
MSC: 74S05, 78M10, 80M10
Language: Russian
Citation: O. El Moutea, H. El Amri, A. El Akkad, “Finite element method for the Stokes–Darcy problem with a new boundary condition”, Sib. Zh. Vychisl. Mat., 23:2 (2020), 165–181; Num. Anal. Appl., 13:2 (2020), 136–151
Citation in format AMSBIB
\Bibitem{El El El 20}
\by O.~El Moutea, H.~El Amri, A.~El Akkad
\paper Finite element method for the Stokes–Darcy problem with a new boundary condition
\jour Sib. Zh. Vychisl. Mat.
\yr 2020
\vol 23
\issue 2
\pages 165--181
\mathnet{http://mi.mathnet.ru/sjvm741}
\crossref{https://doi.org/10.15372/SJNM20200205}
\transl
\jour Num. Anal. Appl.
\yr 2020
\vol 13
\issue 2
\pages 136--151
\crossref{https://doi.org/10.1134/S1995423920020056}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000543438700005}
Linking options:
  • https://www.mathnet.ru/eng/sjvm741
  • https://www.mathnet.ru/eng/sjvm/v23/i2/p165
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Sibirskii Zhurnal Vychislitel'noi Matematiki
    Statistics & downloads:
    Abstract page:142
    Full-text PDF :57
    References:27
    First page:6
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025