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