We extend the discontinuous Galerkin framework to a linear second-order elliptic problem
on a compact smooth connected and oriented surface in ℝ 3. An interior penalty (IP) method …

Scalar convection-diffusion has been drawing attention in fluid mechanics since more than
half a century due to its relevance in various applications, its impact on transport properties …

Numerical Methods for Unsteady Compressible Flow Problems is written to give both
mathematicians and engineers an overview of the state of the art in the field, as well as of …

We demonstrate the applicability and advantages of Discontinuous Galerkin (DG) schemes
in the context of the Functional Renormalization Group (fRG). We investigate the O (N) …

We present a range of numerical tests comparing the dynamical cores of the operationally
used numerical weather prediction (NWP) model COSMO and the university code Dune …

We propose arbitrary high-order discontinuous Galerkin (DG) schemes that are designed
based on a first-order hyperbolic advection–diffusion formulation of the target governing …

Several types of simultaneous approximation term (SAT) for diffusion problems discretized
with diagonal-norm multidimensional summation-by-parts (SBP) operators are analyzed …

We introduce a new family of schemes, labeled Compact Gradient Recovery (CGR), for
handling parabolic partial differential equations within the discontinuous Galerkin (DG) …

We discuss two approaches for the formulation and implementation of space-time
discontinuous Galerkin spectral element methods (DG-SEM). In one, time is treated as an …

This paper discusses a Python interface for the recently published Dune-Fem-DG module
which provides highly efficient implementations of the discontinuous Galerkin (DG) method …