50 citations · 124 across the 23 of their papers we have counts for
5 papers · 2 filters
A virtual element method on polyhedral meshes for the sixth-order elliptic problem
Franco Dassi, David Mora, Carlos Reales +1
In this work we analyze a virtual element method on polyhedral meshes for solving the sixth-order elliptic problem with simply supported boundary conditions. We apply the Ciarlet-R…
Mixed Virtual Element approximation of linear acoustic wave equation
Franco Dassi, Alessio Fumagalli, Ilario Mazzieri +1
We design a Mixed Virtual Element Method for the approximated solution to the first-order form of the acoustic wave equation. In absence of external load, the semi-discrete method…
Parallel block preconditioners for virtual element discretizations of the time-dependent Maxwell equations
Nicolás A. Barnafi, Franco Dassi, Simone Scacchi
The focus of this study is the construction and numerical validation of parallel block preconditioners for low order virtual element discretizations of the three-dimensional Maxwel…
Machine Learning based refinement strategies for polyhedral grids with applications to Virtual Element and polyhedral Discontinuous Galerkin methods
P. F. Antonietti, F. Dassi, E. Manuzzi
We propose two new strategies based on Machine Learning techniques to handle polyhedral grid refinement, to be possibly employed within an adaptive framework. The first one employs…
The Virtual Element Method for the 3D Resistive Magnetohydrodynamic model
Lourenço Beirão da Veiga, Franco Dassi, Gianmarco Manzini +1
We present a four-field Virtual Element discretization for the time-dependent resistive Magnetohydrodynamics equations in three space dimensions, focusing on the semi-discrete form…