hp-version discontinuous Galerkin methods on polygonal and polyhedral meshes
A Cangiani, EH Georgoulis… - Mathematical Models and …, 2014 - World Scientific
An hp-version interior penalty discontinuous Galerkin method (DGFEM) for the numerical
solution of second-order elliptic partial differential equations on general computational …
solution of second-order elliptic partial differential equations on general computational …
High–order discontinuous Galerkin methods on polyhedral grids for geophysical applications: seismic wave propagation and fractured reservoir simulations
We present a comprehensive review of the current development of discontinuous Galerkin
methods on polytopic grids (PolyDG) methods for geophysical applications, addressing as …
methods on polytopic grids (PolyDG) methods for geophysical applications, addressing as …
On mathematical and numerical modelling of multiphysics wave propagation with polytopal discontinuous Galerkin methods: a review
In this work we review discontinuous Galerkin finite element methods on polytopal grids
(PolydG) for the numerical simulation of multiphysics wave propagation phenomena in …
(PolydG) for the numerical simulation of multiphysics wave propagation phenomena in …
Discontinuous Galerkin approximation of flows in fractured porous media on polytopic grids
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 …
which employs discontinuous Galerkin methods on polytopic grids. For simplicity, we …
High-order discontinuous Galerkin methods for the elastodynamics equation on polygonal and polyhedral meshes
PF Antonietti, I Mazzieri - Computer Methods in Applied Mechanics and …, 2018 - Elsevier
We propose and analyze a high-order Discontinuous Galerkin Finite Element Method for the
approximate solution of wave propagation problems modeled by the elastodynamics …
approximate solution of wave propagation problems modeled by the elastodynamics …
[HTML][HTML] Fast numerical integration on polytopic meshes with applications to discontinuous Galerkin finite element methods
PF Antonietti, P Houston, G Pennesi - Journal of Scientific Computing, 2018 - Springer
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 …
integrals of polynomial functions over general polygonal/polyhedral elements that do not …
Design and performance of a space–time virtual element method for the heat equation on prismatic meshes
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 …
which is defined on general prismatic meshes and variable degrees of accuracy. Strategies …
Modeling wave propagation in elastic solids via high-order accurate implicit-mesh discontinuous Galerkin methods
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 …
in single-phase and bi-phase solids is presented. The framework belongs to the embedded …
A high-order discontinuous Galerkin method for nonlinear sound waves
We propose a high-order discontinuous Galerkin scheme for nonlinear acoustic waves on
polytopic meshes. To model sound propagation with losses through homogeneous media …
polytopic meshes. To model sound propagation with losses through homogeneous media …
A multigrid algorithm for the p-version of the virtual element method
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 …
from the p-version of the virtual element discretization of a two-dimensional Poisson …