High-order spectral element methods (SEM) for large-eddy simulation (LES) are still very
limited in industry. One of the main reasons behind this is the lack of robustness of SEM 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 …

We present several high-order accurate finite element methods for the Maxwell's equations
which provide time-invariant, non-drifting approximations to the total electric and magnetic …

We present the recent development of hybridizable and embedded discontinuous Galerkin
(DG) methods for wave propagation problems in fluids, solids, and electromagnetism. In …

In this paper, we discuss a time domain finite element method for the approximate solution of
Maxwell's equations. A weak formulation is derived for the electric and magnetic fields with …

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

Based on an implicit time scheme, this paper presents a new implicit hybridizable
discontinuous Galerkin time-domain (imHDGTD) method for solving the 3-D electromagnetic …

In this work, we address time dependent wave propagation problems with strong multiscale
features (in space and time). Our goal is to design a family of innovative high performance …

This work proposes novel hybridizable discontinuous Galerkin (HDG) methods, both in the
time and in the frequency domain, to accurately compute the Cherenkov radiation emitted by …