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

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dc.contributor.authorNicaise, Serge
dc.contributor.authorAHOUNOU, BERNADIN PIERRE SOUROU MEGNON
dc.contributor.authorHOUEDANOU, KOFFI WILFRID
dc.date.accessioned2026-06-02T16:06:57Z
dc.date.available2026-06-02T16:06:57Z
dc.date.issued2015
dc.description.abstractIn 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.
dc.identifier.doi10.1007/s13370-015-0370-3
dc.identifier.otherBECDB-4973
dc.identifier.urihttps://dspace.uac.bj/handle/123456789/4649
dc.language.isofr
dc.relation.ispartofAfrican Mathematical Union and Springer-Verlag Berlin Heidelberg.
dc.subject-Mixed finite elements
dc.subject-A posteriori error analysis
dc.subject-Stokes equation
dc.subject-Darcy equation
dc.subject-Nonconforming method.
dc.titleResidual-based a posteriori error estimates for a nonconforming finite element discretization of the Stokes–Darcy coupled problem: isotropic discretization
dc.typeArticle

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