Stabilized finite element schemes with LBB-stable elements for incompressible flows

By T. Gelhard, Gert Lube, Maxim A. Olshanskii, J. Starcke. 2005

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Stabilized finite element methods for the generalized Oseen problem (2007, methodology): “Moreover, it seems that the PSPG terms can be omitted in this case, see [20].”
Efficient augmented Lagrangian‐type preconditioning for the Oseen problem using Grad‐Div stabilization (2013, background): “The Oseen problem Problem 1 is defined in the domain Ω = (0, 1)(2), see [37], example 1.”
Grad–div stabilization and subgrid pressure models for the incompressible Navier–Stokes equations (2009, methodology): “Regularity based approach is typical for analysis in the framework of least-squares and Petrov-Galerkin methods [20,34,44,47].”
On the role of the Helmholtz decomposition in mixed methods for incompressible flows and a new variational crime (2014, methodology): “In mixed finite elements it is traditionally tried to get around with poor mass conservation by stabilization techniques like grad-div stabilization[23, 43, 40, 39, 34, 27, 5, 10, 38] or by variable transformations reducing the complexity of the continuous pressure[26, 47].”