Summary.
We derive a residual-based a posteriori error estimator for a stabilized finite element discretization of certain incompressible Oseen-like equations. We focus our attention on the behaviour of the effectivity index and we carry on a numerical study of its sensitiveness to the problem and mesh parameters. We also consider a scalar reaction-convection-diffusion problem and a divergence-free projection problem in order to investigate the effects on the robustness of our a posteriori error estimator of the reaction-convection-diffusion phenomena and, separately, of the incompressibility constraint.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Received March 21, 2001 / Revised version received July 30, 2001 / Published online October 17, 2001
Rights and permissions
About this article
Cite this article
Berrone, S. Robustness in a posteriori error analysis for FEM flow models. Numer. Math. 91, 389–422 (2002). https://doi.org/10.1007/s002110100370
Issue Date:
DOI: https://doi.org/10.1007/s002110100370