70 citations · 365 across the 38 of their papers we have counts for
6 papers · 1 filter
Arbitrary-order pressure-robust DDR and VEM methods for the Stokes problem on polyhedral meshes
Lourenço Beirão da Veiga, Franco Dassi, Daniele A. Di Pietro +1
This paper contains two major contributions. First we derive, following the discrete de Rham (DDR) and Virtual Element (VEM) paradigms, pressure-robust methods for the Stokes equat…
Bend 3d Mixed Virtual Element Method for Elliptic Problems
Franco Dassi, Alessio Fumagalli, Anna Scotti +1
In this study, we propose a virtual element scheme to solve the Darcy problem in three physical dimensions. The main novelty, here proposed, is that curved elements are naturally h…
Adaptive virtual elements based on hybridized, reliable, and efficient flux reconstructions
F. Dassi, J. Gedicke, L. Mascotto
We present two a posteriori error estimators for the virtual element method (VEM) based on global and local flux reconstruction in the spirit of [5]. The proposed error estimators…
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…