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 …

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 …

This study presents a fair performance comparison of the continuous finite element method,
the symmetric interior penalty discontinuous Galerkin method, and the hybridized …

To evaluate the computational performance of high‐order elements, a comparison based on
operation count is proposed instead of runtime comparisons. More specifically, linear versus …

We present a robust method for generating high‐order nodal tetrahedral curved meshes.
The approach consists of modifying an initial linear mesh by first, introducing high‐order …

This work discusses a discontinuous Galerkin (DG) discretization for two‐phase flows. The
fluid interface is represented by a level set, and the DG approximation space is adapted …

Since the inception of discontinuous Galerkin (DG) methods for elliptic problems, there has
existed a question of whether DG methods can be made more computationally efficient than …

We introduce a space–time discontinuous Galerkin (DG) finite element method for the
incompressible Navier–Stokes equations. Our formulation can be made arbitrarily high …

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 …

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