Residual-based a posteriori error estimates for a nonconforming finite element discretization of the Stokes–Darcy coupled problem: isotropic discretization - Université Polytechnique des Hauts-de-France Access content directly
Journal Articles Afrika Matematika Year : 2016

Residual-based a posteriori error estimates for a nonconforming finite element discretization of the Stokes–Darcy coupled problem: isotropic discretization

Bernardin Ahounou
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Wilfrid Koffi Houedanou
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Abstract

In this paper we develop an a posteriori error analysis of a nonconforming mixed finite element method for the coupling of fluid flow with porous media flow. The approach utilizes the same nonconforming Crouzeix–Raviart element discretization on the entire domain (Rui and Zhang, Comput Methods Appl Mech Eng 198:2692–2699, 2009). The a posteriori error estimate is based on a suitable evaluation on the residual of the finite element solution. It is proven that the a posteriori error estimate provided in this paper is both reliable and efficient.
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Dates and versions

hal-03158714 , version 1 (04-03-2021)

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Serge Nicaise, Bernardin Ahounou, Wilfrid Koffi Houedanou. Residual-based a posteriori error estimates for a nonconforming finite element discretization of the Stokes–Darcy coupled problem: isotropic discretization. Afrika Matematika, 2016, 27 (3), pp.701-729. ⟨10.1007/s13370-015-0370-3⟩. ⟨hal-03158714⟩
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