We derive a residual a posteriori error estimates for the subscales stabilization of
convection diffusion equation. The estimator yields upper bound on the error which is
global and lower bound that is local

In this paper, a new a posteriori error estimator for nonconforming convection diffusion
approximation problem, which relies on the small discrete problems solution in stars, has
been established. It is equivalent to the energy error up to data oscillation without any
saturation assumption nor comparison with residual estimator

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