Abstract
In this paper, we consider the posteriori error estimates of fully discrete finite element method for the time-dependent Oseen equations. By constructing an appropriate Oseen reconstruction, the optimal error estimates in and
norms for velocity and pressure are derived in spatial semidiscrete scheme. Furthermore, a fully discrete scheme is studied based on the backward Euler scheme and the corresponding posteriori error estimators are derived. Finally, some numerical results are presented to verify the performance of the established posteriori error estimators.
Notes
No potential conflict of interest was reported by the authors.