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We model incompressible flows with an adaptive stabilized finite elementmethod Stokes flows, which solves a discretely stable saddle-point problem toapproximate the velocity-pressure pair. Additionally, this saddle-point problemdelivers a robust error estimator to guide mesh adaptivity. We analyze theaccuracy of different discrete velocity-pressure pairs of continuous finiteelement spaces, which do not necessarily satisfy the discrete inf-supcondition. We validate the framework's performance with numerical examples.

Incompressible flow modeling using an adaptive stabilized finite element method based on residual minimization