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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 5 scientific papers (total in 5 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
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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
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\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}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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