R. Amara et al., ERROR INDICATORS FOR THE NAVIER-STOKES EQUATIONS IN STREAM FUNCTION AND VORTICITY-FORMULATION, Numerische Mathematik, 80(2), 1998, pp. 181-206
This paper deals with a posteriori estimates for the finite element so
lution of the Stokes problem in stream function and vorticity formulat
ion. For two different discretizations, we propose error indicators an
d we prove estimates in order to compare them with the local error. In
a second step, these results are extended to the Navier-Stokes equati
ons.