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

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AuteurNICAISE, SERGE
AuteurAHOUNOU, BERNADIN PIERRE SOUROU MEGNON
AuteurHOUEDANOU, KOFFI WILFRID
Date d'ajout2026-06-02T16:06:57Z
Date de disponibilite2026-06-02T16:06:57Z
Date de publication2015
ResumeIn 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.
DOI10.1007/s13370-015-0370-3
Autre identifiantBECDB-4973
URIhttps://dspace.uac.bj/handle/123456789/4649
Languefr
Fait partie deAfrican Mathematical Union and Springer-Verlag Berlin Heidelberg.
SujetMixed finite elements
SujetA Posteriori Error Analysis
SujetStokes equation
SujetDarcy equation
SujetNonconforming method
TitreResidual-based a posteriori error estimates for a nonconforming finite element discretization of the Stokes–Darcy coupled problem: isotropic discretization
TypeArticle

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