The hybrid high-order method for polytopal meshes
DA Di Pietro, J Droniou - Number 19 in Modeling, Simulation and …, 2020 - Springer
Originally introduced in [146, 158], Hybrid High-Order (HHO) methods provide a framework
for the discretisation of models based on Partial Differential Equations (PDEs) with features …
for the discretisation of models based on Partial Differential Equations (PDEs) with features …
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 …
Numerical modeling of seismic waves by discontinuous spectral element methods
PF Antonietti, A Ferroni, I Mazzieri… - ESAIM: Proceedings …, 2018 - esaim-proc.org
We present a comprehensive review of Discontinuous Galerkin Spectral Element (DGSE)
methods on hybrid hexahedral/tetrahedral grids for the numerical modeling of the ground …
methods on hybrid hexahedral/tetrahedral grids for the numerical modeling of the ground …
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 …
Ill‐conditioning in the virtual element method: Stabilizations and bases
L Mascotto - Numerical Methods for Partial Differential …, 2018 - Wiley Online Library
In this article, we investigate the behavior of the condition number of the stiffness matrix
resulting from the approximation of a 2D Poisson problem by means of the virtual element …
resulting from the approximation of a 2D Poisson problem by means of the virtual element …
Numerical modeling of the brain poromechanics by high-order discontinuous Galerkin methods
We introduce and analyze a discontinuous Galerkin method for the numerical modeling of
the equations of Multiple-Network Poroelastic Theory (MPET) in the dynamic formulation …
the equations of Multiple-Network Poroelastic Theory (MPET) in the dynamic formulation …
Agglomeration of polygonal grids using graph neural networks with applications to multigrid solvers
Agglomeration-based strategies are important both within adaptive refinement algorithms
and to construct scalable multilevel algebraic solvers. In order to automatically perform …
and to construct scalable multilevel algebraic solvers. In order to automatically perform …
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 …
Implicit mesh discontinuous Galerkin methods and interfacial gauge methods for high-order accurate interface dynamics, with applications to surface tension dynamics …
R Saye - Journal of Computational Physics, 2017 - Elsevier
In this two-part paper, a high-order accurate implicit mesh discontinuous Galerkin (dG)
framework is developed for fluid interface dynamics, facilitating precise computation of …
framework is developed for fluid interface dynamics, facilitating precise computation of …
[HTML][HTML] Polytopal discontinuous Galerkin discretization of brain multiphysics flow dynamics
A comprehensive mathematical model of the multiphysics flow of blood and Cerebrospinal
Fluid (CSF) in the brain can be expressed as the coupling of a poromechanics system and …
Fluid (CSF) in the brain can be expressed as the coupling of a poromechanics system and …