The paper is focused on high efficiency Stokes solver that is applied to the incompressible
flow in porous media. Computational domains are represented by binarized 3D computed …

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 …

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

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 …

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 …

We introduce an embedded–hybridized discontinuous Galerkin (EDG–HDG) method for the
coupled Stokes–Darcy system. This EDG–HDG method is a pointwise mass-conserving …

This paper introduces LE o P art, an add-on for the open-source finite element software
library FE ni CS to seamlessly integrate Lagrangian particle functionality with (Eulerian) …