We introduce a hybridizable discontinuous Galerkin method for the incompressible Navier–
Stokes equations for which the approximate velocity field is pointwise divergence-free. The …

The kinetic energy of a flow is proportional to the square of the L 2 (Ω) norm of the velocity.
Given a sufficient regular velocity field and a velocity finite element space with polynomials …

Inf-sup stable FEM applied to time-dependent incompressible Navier–Stokes flows are
considered. The focus lies on robust estimates for the kinetic and dissipation energies in a …

We present and analyze a new embedded–hybridized discontinuous Galerkin finite element
method for the Stokes problem. The method has the attractive properties of full hybridized …

We propose a new discretization method for the Stokes equations. The method is an
improved version of the method recently presented in C. Lehrenfeld and J. Schöberl …

We present optimal preconditioners for a recently introduced hybridized discontinuous
Galerkin finite element discretization of the Stokes equations. Typical of hybridized …

We generalise a hybridised discontinuous Galerkin method for incompressible flow
problems to non-affine cells, showing that with a suitable element mapping the generalised …

We consider new semi‐hybrid‐mixed finite element formulations for Stokes–Brinkman
problems. Using H (div) H\left (div\right)‐conforming approximate velocity fields, the …

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 …

We present well-posedness and an a priori error analysis of the hybridized discontinuous
Galerkin method for the stationary form of the Navier–Stokes problem proposed in …