@article{6671949419284563a0fb98ab3c688e3e,
title = "Quasi-optimal a priori estimates for fluxes in mixed finite element methods and an application to the Stokes-Darcy coupling",
abstract = "We show improved a priori convergence results in the L2 norm on interfaces for the approximation of the normal component of the flux in mixed finite element methods. Compared with standard estimates for this problem class, additional factors of for the lowest-order case and of in the higher-order case in the a priori bound for the flux variable are obtained. An important role in the analysis play new error estimates in strips of width (h) and the use of anisotropic and weighted norms. Numerical examples including an application to the Stokes-Darcy coupling illustrate our theoretical results.",
keywords = "Stokes-Darcy coupling, anisotropic norms, local FEM error analysis, mixed finite elements, saddle point problem, weighted norms",
author = "Melenk, {J. M.} and H. Rezaijafari and B. Wohlmuth",
note = "Funding Information: The research was carried out while J.M.M. and B.W. attended the {\textquoteleft}special semester{\textquoteright} on {\textquoteleft}Multiscale Simulation & Analysis in Energy and the Environment{\textquoteright} hosted by the Johann Radon Institute for Computational and Applied Mathematics (RICAM) in Linz, 3 October 2011–15 December 2011. The hospitality and financial support of the RICAM is very gratefully acknowledged.",
year = "2014",
month = jan,
doi = "10.1093/imanum/drs048",
language = "English",
volume = "34",
pages = "1--27",
journal = "IMA Journal of Numerical Analysis",
issn = "0272-4979",
publisher = "Oxford University Press",
number = "1",
}