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 …

The mathematization of all sciences, the fading of traditional scientific boundaries, the
impact of computer technology, the growing importance of computer modelling and the …

We describe, in the framework of steady-state diffusion problems, the history of the
development of the so-called hybridizable discontinuous Galerkin (HDG) methods, since …

In the present paper we introduce a Virtual Element Method (VEM) for the approximate
solution of general linear second order elliptic problems in mixed form, allowing for variable …

We build a bridge between the hybrid high-order (HHO) and the hybridizable discontinuous
Galerkin (HDG) methods in the setting of a model diffusion problem. First, we briefly recall …

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 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 …

Hybridization through the border of the elements (hybrid unknowns) combined with a Schur
complement procedure (often called static condensation in the context of continuous …

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

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 …