We present an implicit high-order hybridizable discontinuous Galerkin method for the steady-
state and time-dependent incompressible Navier–Stokes equations. The method is devised …

In this paper, we introduce a hybridizable discontinuous Galerkin method for Stokes flow.
The method is devised by using the discontinuous Galerkin methodology to discretize a …

We provide a short overview of our recent work on the devising of hybridizable
discontinuous Galerkin (HDG) methods for the Stokes equations of incompressible flow …

In this paper, we review and refine the main ideas for devising the so-called hybridizable
discontinuous Galerkin (HDG) methods; we do that in the framework of steady-state diffusion …

In this paper, we analyze a hybridizable discontinuous Galerkin method for numerically
solving the Stokes equations. The method uses polynomials of degree $ k $ for all the …

We present hybridizable discontinuous Galerkin methods for solving steady and time-
dependent partial differential equations (PDEs) in continuum mechanics. The essential …

We present a class of hybridizable discontinuous Galerkin (HDG) methods for the numerical
simulation of wave phenomena in acoustics and elastodynamics. The methods are fully …

We introduce a hybridizable discontinuous Galerkin method for the incompressible Navier–
Stokes equations for which the approximate velocity field is pointwise divergence-free. The …

We present two hybridizable discontinuous Galerkin (HDG) methods for the numerical
solution of the time-harmonic Maxwell's equations. The first HDG method explicitly enforces …

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 …