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20162025
most citedAnalysis of the grad-div stabilization for the time-dependent Navier-Stokes equations with inf-sup stable finite elements

84 citations · 207 across the 15 of their papers we have counts for

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Showing 2022Show all

6 papers · 1 filter

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…

cs.CE2022

Impact of Turbulence Modeling on the Simulation of Blood Flow in Aortic Coarctation

Sarah Katz, Alfonso Caiazzo, Baptiste Moreau +4

Numerical simulations of pulsatile blood flow in an aortic coarctation require the use of turbulence modeling. This paper considers three models from the class of large eddy simula…

math.AP2022

Instantaneous gelation and nonexistence for the Oort-Hulst-Safronov coagulation model

Pooja Rai, Ankik Kumar Giri, Volker John

The possible occurrence of instantaneous gelation to Oort-Hulst-Safronov (OHS) coagulation equation is investigated for a certain class of unbounded coagulation kernels. The existe…

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.NA2022

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…

math.NA2022★ 6 cited

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…