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20202022
most citedInf-sup stabilized Scott-Vogelius pairs on general simplicial grids for Navier-Stokes equations

2 citations · 4 across the 5 of their papers we have counts for

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5 papers

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.NA2021

Longer time simulation of the unsteady Navier-Stokes equations based on a modified convective formulation

Xu Li, Hongxing Rui

For the discretization of the convective term in the Navier-Stokes equations (NSEs), the commonly used convective formulation (CONV) does not preserve the energy if the divergence…

math.NA2021

An EMA-conserving, pressure-robust and Re-semi-robust reconstruction method for the unsteady incompressible Navier-Stokes equations

Xu Li, Hongxing Rui

Proper EMA-balance (E: kinetic energy; M: momentum; A: angular momentum), pressure-robustness and -semi-robustness (: Reynolds number) are three important properties of Nav…

math.NA2020

A low order divergence-free H(div)-conforming finite element method for Stokes flows

Xu Li, Hongxing Rui

In this paper, we propose a discretization of the Stokes equations on general simplicial meshes in two/three dimensions (2D/3D), which yields an exact…