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 …

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 family of virtual element methods for the two-dimensional Navier--Stokes equations is
proposed and analyzed. The schemes provide a discrete velocity field which is pointwise …

In this paper we present an efficient discretization method for the solution of the unsteady
incompressible Navier–Stokes equations based on a high order (Hybrid) Discontinuous …

We introduce a hybridizable discontinuous Galerkin method for the incompressible Navier–
Stokes equations for which the approximate velocity field is pointwise divergence-free. The …

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 …

This paper introduces a weak Galerkin (WG) finite element method for the Navier–Stokes
equations in the primal velocity–pressure formulation. Optimal-order error estimates are …

In this work we introduce and analyze a novel Hybrid High-Order method for the steady
incompressible Navier–Stokes equations. The proposed method is inf-sup stable on general …

In this work we propose a novel Hybrid High-Order method for the incompressible Navier–
Stokes equations based on a formulation of the convective term including Temam's device …

We prove stability bounds for Stokes-like virtual element spaces in two and three
dimensions. Such bounds are also instrumental in deriving optimal interpolation estimates …