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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 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)
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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}
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:
    1. Omar El Moutea, Hassan El Amri, “Finite Element Method Resolution and Error Estimators for p-Laplacian Problem with a New Boundary Condition”, Acta. Math. Sin.-English Ser., 2025  crossref
    2. “OBZOR MODELI STOKSA-DARSI”, BULLETIN Series of Physics & Mathematical Sciences, 86:2 (2024)  crossref
    3. Omar El Moutea, Lahcen El Ouadefli, Abdeslam El Akkad, Nadia Nakbi, Ahmed Elkhalfi, Maria Luminita Scutaru, Sorin Vlase, “A Posteriori Error Estimators for the Quasi-Newtonian Stokes Problem with a General Boundary Condition”, Mathematics, 11:8 (2023), 1943  crossref
    4. Lahcen El Ouadefli, Omar El Moutea, Abdeslam El Akkad, Ahmed Elkhalfi, Sorin Vlase, Maria Luminița Scutaru, “Mixed Isogeometric Analysis of the Brinkman Equation”, Mathematics, 11:12 (2023), 2750  crossref
    5. Abdumauvlen Berdyshev, Dossan Baigereyev, Kulzhamila Boranbek, “Numerical Method for Fractional-Order Generalization of the Stochastic Stokes–Darcy Model”, Mathematics, 11:17 (2023), 3763  crossref
    6. Maria Luminița Scutaru, Sohaib Guendaoui, Ouadie Koubaiti, Lahcen El Ouadefli, Abdeslam El Akkad, Ahmed Elkhalfi, Sorin Vlase, “Flow of Newtonian Incompressible Fluids in Square Media: Isogeometric vs. Standard Finite Element Method”, Mathematics, 11:17 (2023), 3702  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Sibirskii Zhurnal Vychislitel'noi Matematiki
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