The development of electric fields in gas-solid insulation systems under dc voltage stress
goes hand in hand with the accumulation and decay of charges on dielectric interfaces. The …

This article presents a space–time discontinuous Galerkin (DG) finite element discretization
of the advection–diffusion equation on time-dependent domains. In the space–time DG …

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 …

This work is concerned with the design and analysis of hp-version discontinuous Galerkin
(DG) finite element methods for boundary-value problems involving the biharmonic operator …

We consider the hp-version interior penalty discontinuous Galerkin finite element method
(DGFEM) for the numerical approximation of the advection-diffusion-reaction equation on …

We propose a multiscale approach for an elliptic multiscale setting with general unstructured
diffusion coefficients that is able to achieve high-order convergence rates with respect to the …

We generalise a hybridised discontinuous Galerkin method for incompressible flow
problems to non-affine cells, showing that with a suitable element mapping the generalised …

We consider the adjoint-based error estimation and goal-oriented mesh refinement for
single and multiple aerodynamic force coefficients as well as residual-based mesh …

In this paper three p-adaptation strategies based on the minimization of the truncation error
are presented for high order discontinuous Galerkin methods. The truncation error is …

This work is concerned with the numerical solution of Friedrichs systems by discontinuous
Galerkin finite element methods (DGFEMs). Friedrichs systems are boundary value …