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 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 …

The moving discontinuous Galerkin finite element method with interface condition
enforcement is applied to the case of viscous flows. This method uses a weak formulation …

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 the development of a sliding mesh capability for an unsteady high order (order⩾
3) h/p Discontinuous Galerkin solver for the three-dimensional incompressible Navier …

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