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 monograph requires basic knowledge of the variational theory of elliptic PDE and the
techniques used for the analysis of the Finite Element Method. However, all the tools for the …

We propose to use a hybridizable discontinuous Galerkin (HDG) method combined with the
continuous Galerkin (CG) method to approximate Maxwell's equations. We make two …

We propose a framework that allows us to analyze different variants of hybridizable
discontinuous Galerkin (HDG) methods for the static Maxwell equations using one simple …

We propose a multilevel approach for trace systems resulting from hybridized discontinuous
Galerkin (HDG) methods. The key is to blend ideas from nested dissection, domain …

We consider residual-based a posteriori error estimators for Galerkin discretizations of time-
harmonic Maxwell's equations. We focus on configurations where the frequency is high, or …

This paper investigates adaptive hybridizable discontinuous Galerkin methods for the
gradient-velocity–pressure formulation of Brinkman equations. We use piecewise …

In this paper we propose and analyze a mixed discontinuous Galerkin (DG) method and an
hybridizable DG (HDG) method for the stationary magnetohydrodynamics (MHD) equations …

We prove a discrete version of the first Weber inequality on three-dimensional hybrid spaces
spanned by vectors of polynomials attached to the elements and faces of a polyhedral mesh …

Staggered grid techniques have been applied successfully to many problems. A distinctive
advantage is that physical laws arising from the corresponding partial differential equations …