50 citations · 52 across the 7 of their papers we have counts for
10 papers · 1 filter
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…
A Virtual Element Method for the wave equation on curved edges in two dimensions
Franco Dassi, Alessio Fumagalli, Ilario Mazzieri +2
In this work we present an extension of the Virtual Element Method with curved edges for the numerical approximation of the second order wave equation in a bidimensional setting. C…
Hybridization of the Virtual Element Method for linear elasticity problems
Franco Dassi, Carlo Lovadina, Michele Visinoni
We extend the hybridization procedure proposed in [Arnold, Brezzi, 1985, ESAIM: M2AN] to the Virtual Element Method for linear elasticity problems based on the Hellinger-Reissner p…
Virtual elements for Maxwell's equations
L. Beirão da Veiga, F. Dassi, G. Manzini +1
We present a low order virtual element discretization for time dependent Maxwell's equations, which allow for the use of general polyhedral meshes. Both the semi- and fully-discret…
SUPG-stabilized Virtual Elements for diffusion-convection problems: a robustness analysis
L. Beirão da Veiga, F. Dassi, C. Lovadina +1
The objective of this contribution is to develop a convergence analysis for SUPG-stabilized Virtual Element Methods in diffusion-convection problems that is robust also in the conv…