A low order Galerkin finite element method for the Navier–Stokes equations of steady incompressible flow: a stabilization issue and iterative methods

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Stabilized finite element schemes with LBB-stable elements for incompressible flows (2005, unknown): “Finally we consider the two-dimensional flow in a channel with a backward facing step, see [19].”
Grad–div stabilization and subgrid pressure models for the incompressible Navier–Stokes equations (2009, methodology): “The Bernoulli pressures exhibit the same complex dynamic as velocities and if a mesh fails to resolve it, an additional stabilization is vital [30,31,40].”
On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows (2015, background): “It is now well known that it penalizes for lack of mass conservation, can improve solution accuracy for simulations of Stokes and Navier–Stokes equations by reducing the effect of the pressure on the velocity error [41, 53, 54, 55], and it can improve conditioning of discrete systems [31] and conver”
On the convergence rate of grad-div stabilized Taylor–Hood to Scott–Vogelius solutions for incompressible flow problems (2011, background): “However, it has been shown in [17, 18, 10] that using TH elements with grad-div stabilization can improve mass conservation in solutions, and sometimes even overall accuracy.”