HDGlab: An Open-Source Implementation of the Hybridisable Discontinuous Galerkin Method in MATLAB
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 …
discontinuous Galerkin (HDG) method. The main goal is to provide a detailed description of …
[كتاب][B] An Invitation to the Theory of the Hybridizable Discontinuous Galerkin Method: Projections, Estimates, Tools
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 …
techniques used for the analysis of the Finite Element Method. However, all the tools for the …
A unified error analysis of hybridizable discontinuous Galerkin methods for the static Maxwell equations
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 …
discontinuous Galerkin (HDG) methods for the static Maxwell equations using one simple …
A multilevel approach for trace system in HDG discretizations
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 …
Galerkin (HDG) methods. The key is to blend ideas from nested dissection, domain …
A discrete Weber inequality on three-dimensional hybrid spaces with application to the HHO approximation of magnetostatics
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 …
spanned by vectors of polynomials attached to the elements and faces of a polyhedral mesh …
Frequency-explicit a posteriori error estimates for finite element discretizations of Maxwell's equations
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 …
harmonic Maxwell's equations. We focus on configurations where the frequency is high, or …
A mixed DG method and an HDG method for incompressible magnetohydrodynamics
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 …
hybridizable DG (HDG) method for the stationary magnetohydrodynamics (MHD) equations …
A Hybridizable Discontinuous Galerkin Method for Magnetic Advection–Diffusion Problems
We propose and analyze a hybridizable discontinuous Galerkin (HDG) method for solving a
mixed magnetic advection–diffusion problem within a more general Friedrichs system …
mixed magnetic advection–diffusion problem within a more general Friedrichs system …
A priori error analysis of new semidiscrete, Hamiltonian HDG methods for the time-dependent Maxwell's equations
We present the first a priori error analysis of a class of space-discretizations by Hybridizable
Discontinuous Galerkin (HDG) methods for the time-dependent Maxwell's equations …
Discontinuous Galerkin (HDG) methods for the time-dependent Maxwell's equations …
Adaptive HDG methods for the Brinkman equations with application to optimal control
This paper investigates adaptive hybridizable discontinuous Galerkin methods for the
gradient-velocity–pressure formulation of Brinkman equations. We use piecewise …
gradient-velocity–pressure formulation of Brinkman equations. We use piecewise …