Nondivergence-free discretizations for the incompressible Stokes problem may suffer from a
lack of pressure-robustness characterized by large discretizations errors due to irrotational …

Discretization of Navier--Stokes equations using pressure-robust finite element methods is
considered for the high Reynolds number regime. To counter oscillations due to dominating …

Proper EMA-balance (balance of kinetic energy, linear momentum and angular momentum),
pressure-robustness and Re-semi-robustness (Re: Reynolds number) are three important …

We design a local Fortin operator for the lowest-order Taylor–Hood element in any
dimension, which was previously constructed only in 2D. In the construction we use …

In this paper we discretize the incompressible Navier–Stokes equations in the framework of
finite element exterior calculus. We make use of the Lamb identity to rewrite the equations …

In this paper, we present a divergence-conforming discontinuous Galerkin finite element
method for Stokes eigenvalue problems. We prove a priori error estimates for the eigenvalue …

We introduce a new discretization for the stream function formulation of the incompressible
Stokes equations in two and three space dimensions. The method is strongly related to the …

In this paper, we study the explicit expressions of the constants in the error estimate of the
nonconforming finite element method. We obtain an explicit relation between the …

This paper aims to improve guaranteed error control for the Stokes problem with a focus on
pressure-robustness, ie, for discretisations that compute a discrete velocity that is …

Les complexes différentiels discrets ont récemment attiré l'attention des numériciens en
raison des nombreux avantages qu'ils offrent pour la discrétisation des équations aux …