A residual-based a posteriori error estimator is proposed for the Oseen problem that is robust in the convection-dominated regime when using SUPG/PSPG/grad-div stabilization, with robustness proved under hypotheses on errors and supported by numerical studies.
On the grad-div stabilization for the steady Oseen and Navier-Stokes equations.Calcolo, 54(1): 471–501
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A robust a posteriori error estimator for the Oseen problem
A residual-based a posteriori error estimator is proposed for the Oseen problem that is robust in the convection-dominated regime when using SUPG/PSPG/grad-div stabilization, with robustness proved under hypotheses on errors and supported by numerical studies.