3 citations · 6 across the 8 of their papers we have counts for
14 papers
Robust discontinuous Galerkin-based scheme for the fully-coupled non-linear thermo-hydro-mechanical problem
Stefano Bonetti, Michele Botti, Paola F. Antonietti
We present and analyze a discontinuous Galerkin method for the numerical modeling of the non-linear fully-coupled thermo-hydro-mechanic problem. We propose a high-order symmetric w…
Discontinuous Galerkin approximation of the fully-coupled thermo-poroelastic problem
Paola F. Antonietti, Stefano Bonetti, Michele Botti
We present and analyze a discontinuous Galerkin method for the numerical modelling of the non-linear fully-coupled thermo-poroelastic problem. For the spatial discretization, we de…
Virtual Element Method for the Navier--Stokes Equation coupled with the Heat Equation
Paola Francesca Antonietti, Giuseppe Vacca, Marco Verani
We consider the Virtual Element discretization of the Navier-Stokes equations coupled with the heat equation where the viscosity depends on the temperature. We present the Virtual…
On mathematical and numerical modelling of multiphysics wave propagation with polytopal Discontinuous Galerkin methods
Paola F. Antonietti, Michele Botti, Ilario Mazzieri
In this work we review discontinuous Galerkin finite element methods on polytopal grids (PolydG) for the numerical simulation of multiphysics wave propagation phenomena in heteroge…
A review on arbitrarily regular conforming virtual element methods for elliptic partial differential equations
Paola Francesca Antonietti, Gianmarco Manzini, Simone Scacchi +1
The Virtual Element Method is well suited to the formulation of arbitrarily regular Galerkin approximations of elliptic partial differential equations of order , for any inte…
The conforming virtual element method for polyharmonic and elastodynamics problems: a review
Paola Francesca Antonietti, Gianmarco Manzini, Ilario Mazzieri +2
In this paper, we review recent results on the conforming virtual element approximation of polyharmonic and elastodynamics problems. The structure and the content of this review is…