In recent years, high-order discontinuous Galerkin (DG) methods have emerged as an
attractive approach for numerical simulations of compressible flows. This paper presents an …

Theoretical studies and numerical experiments suggest that unstructured high-order
methods can provide solutions to otherwise intractable fluid flow problems within complex …

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 …

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 …

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

In this paper, we present a Hybridizable Discontinuous Galerkin (HDG) method for the
solution of the compressible Euler and Navier-Stokes equations. The method is devised by …

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 …