In this work we develop a discretisation method for the mixed formulation of the
magnetostatic problem supporting arbitrary orders and polyhedral meshes. The method is …

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 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 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 …

We propose and analyze a hybridizable discontinuous Galerkin (HDG) method for solving a
mixed magnetic advection–diffusion problem within a more general Friedrichs system …

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 …

We prove discrete versions of the first and second Weber inequalities on H (curl)∩ H (div η)-
like hybrid spaces spanned by polynomials attached to the faces and to the cells of a …

The authors propose an innovative technique for dealing with optimal shape design
problems that exploits the flexibility of the virtual element method in generating meshes …

We analyze a hybridizable discontinuous Galerkin (HDG) method for the time harmonic
Maxwell's equations arising from modeling photovoltaic solar cells. The problem is set in an …

The quad-curl problem arises in magnetohydrodynamics, inverse electromagnetic scattering
problems, and electromagnetic transmission eigenvalue problems. In this paper, we …