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 …

This paper presents HDGlab, an open source MATLAB implementation of the hybridisable
discontinuous Galerkin (HDG) method. The main goal is to provide a detailed description of …

We present and analyze a strongly conservative hybridizable discontinuous Galerkin finite
element method for the coupled incompressible Navier–Stokes and Darcy problem with …

In this work we study the stability, convergence, and pressure-robustness of discretization
methods for incompressible flows with hybrid velocity and pressure. Specifically, focusing on …

Abstract We propose two Hybrid High-Order (HHO) methods for the incompressible Navier-
Stokes equations and investigate their robustness with respect to the Reynolds number …

In this work, we analyze a discontinuous Galerkin finite element method for the equations of
motion that arise in the 2D Oldroyd model of order one. We investigate the existence and …

This-36pt paper considers a discontinuous Galerkin finite element method for the 2 D
transient and incompressible Navier-Stokes model. Following the analysis of Heywood and …

In this work, we consider the two-dimensional Navier–Stokes equations with boundary
conditions on the velocity on one part of the boundary and involving the pressure fluid on the …

In this paper, we apply a two-grid scheme to the DG formulation of the 2D transient Navier–
Stokes model. The two-grid algorithm consists of the following steps: Step 1 involves solving …

Convergence and compactness properties of approximate solutions to elliptic partial
differential computed with the hybridized discontinuous Galerkin (HDG) are established …