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

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AuteurHOUEDANOU, KOFFI WILFRID
Date d'ajout2026-06-02T16:06:57Z
Date de disponibilite2026-06-02T16:06:57Z
Date de publication2019
ResumeWe consider in this paper, a new a posteriori residual type error estimators for the Stokes-Darcy coupled problem analyzed in [1] on isotropic meshes. Our analysis covers two-and three-dimensional domains, conforming discretizations as well as different elements. We derive a reliable and efficient residual-based a posteriori error estimator for this coupled problem. The proof of reliability makes use of suitable auxiliary problems, continuous inf-sup conditions satisfied by the bilinear forms involved, and local approximation properties. 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.
DOI10.18642/jpamaa_7100122087
Autre identifiantBECDB-7874
URIhttps://dspace.uac.bj/handle/123456789/7070
Languefr
Fait partie deJournal of Pure and Applied Mathematics: Advances and Applications
SujetMixed finite elements
SujetStokes and Darcy equations
Sujeta posteriori
Sujeterror analysis
TitreRESIDUAL-BASED A POSTERIORI ERROR ESTIMATES FOR A CONFORMING FINITE ELEMENT DISCRETIZATION OF THE STOKES-DARCY COUPLED PROBLEM
TypeArticle

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