An hp-version interior penalty discontinuous Galerkin method (DGFEM) for the numerical
solution of second-order elliptic partial differential equations on general computational …

The numerical approximation of partial differential equations (PDEs) posed on complicated
geometries, which include a large number of small geometrical features or microstructures …

An interior-penalty discontinuous Galerkin (dG) method for an\penalty-10000 elliptic
interface problem involving, possibly, curved interfaces, with flux-\penalty-10000 balancing …

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 high-order discontinuous Galerkin scheme for nonlinear acoustic waves on
polytopic meshes. To model sound propagation with losses through homogeneous media …

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 …

This manuscript deals with the hp error analysis of a hybrid discontinuous Galerkin method
for incompressible flow. Besides the usual coercivity and boundedness estimates, we …

In this paper we analyze the convergence properties of two-level and W-cycle multigrid
solvers for the numerical solution of the linear system of equations arising from hp-version …

In the present work, we analyze the hp version of virtual element methods for the 2D Poisson
problem. We prove exponential convergence of the energy error employing sequences of …

We extend the applicability of the popular interior penalty discontinuous Galerkin method
discretizing advection-diffusion-reaction problems to meshes comprising extremely general …