This work examines the development of an entropy conservative (for smooth solutions) or
entropy stable (for discontinuous solutions) space–time discontinuous Galerkin (DG) method …

New unstructured high order methods hold the promise of transforming industrial? CFD
practices. Their combination of high precision, high geometrical flexibility? and parallel …

We introduce a space-time discretization for linear first-order hyperbolic evolution systems
using a discontinuous Galerkin approximation in space and a Petrov–Galerkin scheme in …

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 …

We present a parallelized geometric multigrid (GMG) method, based on the cell-based
Vanka smoother, for higher order space-time finite element methods (STFEM) to the …

Abstract We present an Adaptive Mesh Refinement (AMR) method suitable for hybrid
unstructured meshes that allows for local refinement and de-refinement of the computational …

Weintroduceaspace-timediscretizationforelasticandacousticwav… a discontinuous Galerkin
approximation in space, and a Petrov–Galerkin scheme in time. For the DG method, the …

In this paper, we develop and analyze a fast solver for the system of algebraic equations
arising from the local discontinuous Galerkin (LDG) discretization and implicit time marching …

The aim of this paper is to propose a multigrid method to obtain the numerical solution of the
one‐dimensional nonlinear sine‐Gordon equation. The finite difference equations at all …