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

In this paper, we derive an improved error estimate for the H (div)-conforming discontinuous
Galerkin (DG) approximation of the Stokes equations, assuming only minimal regularity on …

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 …

Abstract The Scott-Vogelius P kP k-1 disc mixed finite element is stable for k≥ 4 if the
underlying triangular mesh is nearly-singular vertex free. The P 2-P 1 disc and P 3-P 2 disc …

Most classical finite element schemes for the (Navier–) Stokes equations are neither
pressure-robust, nor are they inf-sup stable on general anisotropic triangulations. A lack of …

We present analysis of two lowest-order hybridizable discontinuous Galerkin methods for
the Stokes problem, while making only minimal regularity assumptions on the exact solution …

The velocity solution of the incompressible Stokes equations is not affected by changes of
the right hand side data in form of gradient fields. Most mixed methods do not replicate this …

This paper studies the benefits of pressure-robust discretizations in the scope of optimal
control of incompressible flows. Gradient forces that may appear in the data can have a …

In this paper, we propose and analyze a new weakly over-penalized symmetric interior
penalty (WOPSIP) discontinuous Galerkin (DG) scheme for the Stokes equations. The …

Recently there has been increased interest in a special class of discretizations for
incompressible flows, which produce velocity approximations that are independent of how …