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 …

In this work we consider the numerical solution of incompressible flows on two‐dimensional
manifolds. Whereas the compatibility demands of the velocity and the pressure spaces are …

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 …

The quasi-static multiple-network poroelastic theory (MPET) model, first introduced in the
context of geomechanics [G. Barenblatt, G. Zheltov, and I. Kochina, J. Appl. Math. Mech., 24 …

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 consider the coupling of free and porous media flow governed by Stokes and Darcy
equations with the Beavers–Joseph–Saffman interface condition. This model is discretized …

In this paper, we propose and analyze a-virtual element method of high order to solve the
Brinkman problem formulated in terms of the stream function. The velocity is obtained as a …

We propose stress formulation of the Stokes equations. The velocity is approximated with-
conforming finite elements providing exact mass conservation. While many standard …

We propose a novel high-order HDG method for the Biot's consolidation model in
poroelasticity. We present optimal h-version error analysis for both the semi-discrete and full …