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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 …

We introduce a unifying framework for hybridization of finite element methods for second
order elliptic problems. The methods fitting in the framework are a general class of mixed …

We present a hybridizable discontinuous Galerkin method for the numerical solution of
steady and time-dependent linear convection–diffusion equations. We devise the method as …

Abstract Discontinuous Petrov–Galerkin (DPG) methods are made easily implementable
using “broken” test spaces, ie, spaces of functions with no continuity constraints across mesh …

We identify and study an LDG-hybridizable Galerkin method, which is not an LDG method,
for second-order elliptic problems in several space dimensions with remarkable …

In this paper, we present hybridizable discontinuous Galerkin methods for the numerical
solution of steady and time-dependent nonlinear convection–diffusion equations. The …

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

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 …