This work presents a review of high-order hybridisable discontinuous Galerkin (HDG)
methods in the context of compressible flows. Moreover, an original unified framework for …

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 …

This manuscript deals with the hp error analysis of a hybrid discontinuous Galerkin method
for incompressible flow. Besides the usual coercivity and boundedness estimates, we …

A hybridizable discontinuous Galerkin (HDG) formulation of the linearized incompressible
Navier-Stokes equations, known as Oseen equations, is presented. The Cauchy stress …

Discontinuous Galerkin (DG) discretizations with exact representation of the geometry and
local polynomial degree adaptivity are revisited. Hybridization techniques are employed to …

We design and analyze a hybridized cut finite element method for elliptic interface problems.
In this method very general meshes can be coupled over internal unfitted interfaces, through …

We propose and analyze a hybrid discontinuous Galerkin method for the solution of
incompressible flow problems, which allows to deal with pure Stokes, pure Darcy, and …

Analysis of Hybrid Discontinuous Galerkin Methods for Incompressible Flow Problems Page
1 Analysis of Hybrid Discontinuous Galerkin Methods for Incompressible Flow Problems …

We discuss the implementation of hybrid finite element methods in the Distributed and
Unified Numerics Environment (Dune)[5, 6]. Such hybrid methods require the approximation …

The discontinuous Galerkin Interior Penalty Method with solenoidal approximations
proposed in [13] for the incompressible Stokes equations is analyzed. Continuity and …