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

We present a comprehensive review of the current development of discontinuous Galerkin
methods on polytopic grids (PolyDG) methods for geophysical applications, addressing as …

In this work we review discontinuous Galerkin finite element methods on polytopal grids
(PolydG) for the numerical simulation of multiphysics wave propagation phenomena in …

We present a numerical approximation of Darcy's flow through a fractured porous medium
which employs discontinuous Galerkin methods on polytopic grids. For simplicity, we …

We propose and analyze a high-order Discontinuous Galerkin Finite Element Method for the
approximate solution of wave propagation problems modeled by the elastodynamics …

In this paper we present efficient quadrature rules for the numerical approximation of
integrals of polynomial functions over general polygonal/polyhedral elements that do not …

We present a space–time virtual element method for the discretization of the heat equation,
which is defined on general prismatic meshes and variable degrees of accuracy. Strategies …

A high-order accurate implicit-mesh discontinuous Galerkin framework for wave propagation
in single-phase and bi-phase solids is presented. The framework belongs to the embedded …

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 present a multigrid algorithm for the solution of the linear systems of equations stemming
from the p-version of the virtual element discretization of a two-dimensional Poisson …