14 citations · 26 across the 13 of their papers we have counts for
15 papers
Pressure-robustness for the axisymmetric Stokes problem by velocity reconstruction
Philip L. Lederer, Christoph Lehrenfeld, Christian Merdon +1
This paper studies pressure-robustness for the axisymmetric Stokes problem. The transformation to cylindrical coordinates requires that the radially weighted velocity is divergence…
Refined stability estimates for mixed problems by exploiting semi norm arguments
Nicolas Gauger, Alexander Linke, Christian Merdon
Refined stability estimates are derived for classical mixed problems. The novel emphasis is on the importance of semi norms on data functionals, inspired by recent progress on pres…
Gradient-robust hybrid DG discretizations for the compressible Stokes equations
Philip L. Lederer, Christian Merdon
This paper studies two hybrid discontinuous Galerkin (HDG) discretizations for the velocity-density formulation of the compressible Stokes equations with respect to several desired…
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…
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…
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…