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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
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
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
Linking options:
https://www.mathnet.ru/eng/sjvm741 https://www.mathnet.ru/eng/sjvm/v23/i2/p165
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Abstract page: | 128 | Full-text PDF : | 47 | References: | 26 | First page: | 6 |
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