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 introduce and analyze local discontinuous Galerkin methods for the Stokes
system. For a class of shape regular meshes with hanging nodes we derive a priori …

We devise and analyze a new local discontinuous Galerkin (LDG) method for the Stokes
equations of incompressible fluid flow. This optimally convergent method is obtained by …

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

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 …

In this paper, we introduce a new and efficient way to compute exactly divergence-free
velocity approximations for the Stokes equations in two space dimensions. We begin by …

In this article, we consider a discontinuous Galerkin method for the discretization of the
Stokes problem. We use-conforming finite elements, as they provide major benefits such as …

In this work, we study advection-robust Hybrid High-Order discretizations of the Oseen
equations. For a given integer k\geqslant 0 k⩾ 0, the discrete velocity unknowns are vector …

This work deals with the introduction and the analysis of a new finite element method for the
discretization of incompressible flows. The main focus essentially lies on the discussion of …