Abstract:We 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 loc… Show more
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.