84 citations · 207 across the 15 of their papers we have counts for
4 papers · 2 filters
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…
POD-ROMs for incompressible flows including snapshots of the temporal derivative of the full order solution
Bosco García-Archilla, Volker John, Julia Novo
In this paper we study the influence of including snapshots that approach the velocity time derivative in the numerical approximation of the incompressible Navier-Stokes equations…
Finite element methods respecting the discrete maximum principle for convection-diffusion equations
Gabriel R. Barrenechea, Volker John, Petr Knobloch
Convection-diffusion-reaction equations model the conservation of scalar quantities. From the analytic point of view, solution of these equations satisfy under certain conditions m…