RESIDUAL-BASED A POSTERIORI ERROR ESTIMATES FOR A CONFORMING FINITE ELEMENT DISCRETIZATION OF THE NAVIER-STOKES/DARCY COUPLED PROBLEM

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AuteurHOUEDANOU, KOFFI WILFRID
AuteurADETOLA, JAMAL
AuteurAHOUNOU, BERNADIN PIERRE SOUROU MEGNON
Date d'ajout2026-06-02T16:06:57Z
Date de disponibilite2026-06-02T16:06:57Z
Date de publication2017
ResumeWe consider in this paper, a new a posteriori residual type error estimator of a conforming mixed finite element method for the coupling of fluid flow with porous media flow on isotropic meshes. Flows are governed by the Navier-Stokes and Darcy equations, respectively, and the corresponding transmission conditions are given by mass conservation, balance of normal forces, and the Beavers-Joseph- Saffman law. The finite element subspaces consider Bernardi-Raugel and Raviart-Thomas elements for the velocities, piecewise constants for the pressures, and continuous piecewise linear elements for a Lagrange multiplier defined on the interface. 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. In addition, our analysis can be extended to other finite element subspaces yielding a stable Galerkin scheme.
DOI10.18642/jpamaa_7100121867
Autre identifiantBECDB-4976
URIhttps://dspace.uac.bj/handle/123456789/4652
Languefr
Fait partie deJournal of Pure and Applied Mathematics: Advances and Applications
Sujeterror estimator
SujetFinite Element Method
SujetNavier-Stokes equations
SujetDarcy equations
TitreRESIDUAL-BASED A POSTERIORI ERROR ESTIMATES FOR A CONFORMING FINITE ELEMENT DISCRETIZATION OF THE NAVIER-STOKES/DARCY COUPLED PROBLEM
TypeArticle

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