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 propose a new arbitrary high order accurate semi-implicit space–time discontinuous
Galerkin (DG) method for the solution of the two and three dimensional compressible Euler …

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

In this paper we propose a new reformulation of the first order hyperbolic model for unsteady
turbulent shallow water flows recently proposed in Gavrilyuk et al.(J Comput Phys 366: 252 …

In this paper a new hybrid semi-implicit finite volume/finite element (FV/FE) scheme is
presented for the numerical solution of the compressible Euler and Navier–Stokes equations …

In this paper we propose a novel arbitrary high order accurate semi-implicit space–time
discontinuous Galerkin method for the solution of the three-dimensional incompressible …

In this article we propose a new family of high order staggered semi-implicit discontinuous
Galerkin (DG) methods for the simulation of natural convection problems. Assuming small …

We present an efficient discontinuous Galerkin scheme for simulation of the incompressible
Navier–Stokes equations including laminar and turbulent flow. We consider a semi-explicit …

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 present a new hp-version space-time discontinuous Galerkin (dG) finite element method
for the numerical approximation of parabolic evolution equations on general spatial meshes …