An improved understanding of the divergence-free constraint for the incompressible Navier–
Stokes equations leads to the observation that a semi-norm and corresponding equivalence …

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 …

Robust discretization methods for (nearly-incompressible) linear elasticity are free of volume-
locking and gradient-robust. While volume-locking is a well-known problem that can be dealt …

In this paper, we propose a discretization of the Stokes equations on general simplicial
meshes in two/three dimensions, which yields an exactly divergence-free and pressure …

In this paper, we discuss and analyze virtual element approximations for the nonstationary
Stokes problem on polygonal meshes. The proposed scheme is based on pressure-velocity …

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

In this contribution, we review classical mixed methods for the incompressible Navier–
Stokes equations that relax the divergence constraint and are discretely inf-sup stable …

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 …

A novel notion for constructing a well-balanced scheme–a gradient-robust scheme–is
introduced and a showcase application for the steady compressible, isothermal Stokes …