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 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 …

A unified study is presented in this paper for the design and analysis of different finite
element methods (FEMs), including conforming and nonconforming FEMs, mixed FEMs …

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 …

Hybrid High-Order (HHO) methods attach discrete unknowns to the cells and to the faces of
the mesh. At the heart of their devising lie two intuitive ideas:(i) a local operator …

This paper presents a new hybridizable discontinuous Galerkin (HDG) method for linear
elasticity on general polyhedral meshes, based on a strong symmetric stress formulation …

We present a superconvergent hybridizable discontinuous Galerkin method for the steady-
state incompressible Navier–Stokes equations on general polyhedral meshes. For an …

The discontinuous Galerkin methods are locally conservative, high‐order accurate, and
robust methods that can easily handle elements of arbitrary shapes, irregular triangulations …

We present the first space–time hybridizable discontinuous Galerkin (HDG) finite element
method for the incompressible Navier–Stokes and Oseen equations. Major advantages of a …