ℎ𝑝-version discontinuous Galerkin methods on essentially arbitrarily-shaped elements
We extend the applicability of the popular interior penalty discontinuous Galerkin method
discretizing advection-diffusion-reaction problems to meshes comprising extremely general …
discretizing advection-diffusion-reaction problems to meshes comprising extremely general …
Adaptive discontinuous Galerkin finite element methods for the Allen-Cahn equation on polygonal meshes
In this paper, we develop a polygonal mesh adaptation algorithm for a fully implicit scheme
based on discontinuous Galerkin (DG) finite element methods in space and backward Euler …
based on discontinuous Galerkin (DG) finite element methods in space and backward Euler …
A Stokes–Darcy–Darcy model and its discontinuous Galerkin method on polytopic grids
In this paper, we propose and numerically solve a model considering confined flow in
fractured porous media coupled with free flow in conduits. Such a situation arises, for …
fractured porous media coupled with free flow in conduits. Such a situation arises, for …
Quadrature-free polytopic discontinuous Galerkin methods for transport problems
In this article we consider the application of Euler's homogeneous function theorem together
with Stokes' theorem to exactly integrate families of polynomial spaces over general …
with Stokes' theorem to exactly integrate families of polynomial spaces over general …
hp-version analysis for arbitrarily shaped elements on the boundary discontinuous Galerkin method for Stokes systems
EN Karatzas - arXiv preprint arXiv:2301.12577, 2023 - arxiv.org
In the present work, we examine and analyze an hp-version interior penalty discontinuous
Galerkin finite element method for the numerical approximation of a steady fluid system on …
Galerkin finite element method for the numerical approximation of a steady fluid system on …