Discontinuous Galerkin time discretization in elastoplasticity: motivation, numerical algorithms, and applications

A-stable discontinuous Galerkin-Petrov time discretization of higher order

Space-time discontinuous Galerkin discretization of rotating shallow water equations

A space-time discontinuous Galerkin (DG) discretization is presented for the (rotating) shallow water equations over varying topography. We formulate the space-time DG finite element discretization in an efficient and conservative discretization. The HLLC flux is used as numerical flux through the finite element boundaries. When discontinuities are present, we locally apply dissipation around t...

Numerical Diffusion Control of a Space-Time Discontinuous Galerkin Method

Variations on space-time Discontinuous Galerkin (STDG) discretization associated to Runge-Kutta schemes are developed. These new schemes while keeping the original scheme order can improve accuracy and stability. Numerical analysis is made on academic test cases and efficiency of these schemes are shown on propagating pressure waves. AMS subject classifications: 52B10, 65D18, 68U05, 68U07

Discontinuous Galerkin Methods for Numerical Weather Prediction

The coarse grid of numerical weather prediction and climate models requires parametrization models to resolve atmospheric processes that are smaller than the grid size. For parametrization development, these processes are simulated by a high resolution model. At the Royal Netherlands Meteorological Institute, the Dutch Atmospheric Large-Eddy Simulation (DALES) is used [15]. This three-dimension...

Analysis of Schwarz Methods for a Hybridizable Discontinuous Galerkin Discretization

Schwarz methods are attractive parallel solvers for large-scale linear systems obtained when partial differential equations are discretized. For hybridizable discontinuous Galerkin (HDG) methods, this is a relatively new field of research, because HDG methods impose continuity across elements using a Robin condition, while classical Schwarz solvers use Dirichlet transmission conditions. Robin c...