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math.NA2022★ 2 cited
Inf-sup stabilized Scott-Vogelius pairs on general simplicial grids for Navier-Stokes equations
Naveed Ahmed, Volker John, Xu Li +1
This paper considers the discretization of the time-dependent Navier-Stokes equations with the family of inf-sup stabilized Scott-Vogelius pairs recently introduced in [John/Li/Mer…
math.NA2022★ 2 cited
Inf-sup stabilized Scott--Vogelius pairs on general simplicial grids by Raviart--Thomas enrichment
Volker John, Xu Li, Christian Merdon +1
This paper considers the discretization of the Stokes equations with Scott--Vogelius pairs of finite element spaces on arbitrary shape-regular simplicial grids. A novel way of stab…
math.OC2022
Pressure-robustness in the context of optimal control
Christian Merdon, Winnifried Wollner
This paper studies the benefits of pressure-robust discretizations in the scope of optimal control of incompressible flows. Gradient forces that may appear in the data can have a n…