37 citations · 125 across the 22 of their papers we have counts for
4 papers · 1 filter
Serendipity Virtual Elements on Polyhedral Meshes
Lourenco Beirao da Veiga, Franco Brezzi, Franco Dassi +2
We numerically validate the Virtual Element Method of order k for general second order elliptic problems with variable coefficients in three dimensions. Moreover, we investigate nu…
Virtual Elements for a shear-deflection formulation of Reissner-Mindlin plates
Lourenço Beirão da Veiga, David Mora, Gonzalo Rivera
We present a virtual element method for the Reissner-Mindlin plate bending problem which uses shear strain and deflection as discrete variables without the need of any reduction op…
Virtual Elements for the Navier-Stokes problem on polygonal meshes
L. Beirão da Veiga, C. Lovadina, G. Vacca
A family of Virtual Element Methods for the 2D Navier-Stokes equations is proposed and analysed. The schemes provide a discrete velocity field which is point-wise divergence-free.…
High-order Virtual Element Method on polyhedral meshes
L. Beirão da Veiga, F. Dassi, A. Russo
We develop a numerical assessment of the Virtual Element Method for the discretization of a diffusion-reaction model problem, for higher "polynomial" order k and three space dimens…