Originally introduced in [146, 158], Hybrid High-Order (HHO) methods provide a framework
for the discretisation of models based on Partial Differential Equations (PDEs) with features …

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 …

We design and analyze an approximation method for advection-diffusion-reaction equations
where the (generalized) degrees of freedom are polynomials of order k\ge0 at mesh faces …

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 a new hybridizable discontinuous Galerkin (HDG) method for the convection
diffusion problem on general polyhedral meshes. This new HDG method is a generalization …

This paper proposes and analyzes a weak Galerkin (WG) finite element method for 2-and 3-
dimensional convection–diffusion–reaction problems on conforming or nonconforming …

We present a class of embedded discontinuous Galerkin (EDG) methods for numerically
solving the Euler equations and the Navier–Stokes equations. The essential ingredients are …

We present the first a priori error analysis of the h-version of the hybridizable discontinuous
Galkerin (HDG) methods applied to convection-dominated diffusion problems. We show that …

A degree adaptive Hybridizable Discontinuous Galerkin (HDG) method for the solution of the
incompressible Navier–Stokes equations is presented. The key ingredient is an accurate …