70 citations · 365 across the 38 of their papers we have counts for
5 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…
Lowest order Virtual Element approximation of magnetostatic problems
L. Beirão da Veiga, F. Brezzi, F. Dassi +2
We give here a simplified presentation of the lowest order Serendipity Virtual Element method, and show its use for the numerical solution of linear magneto-static problems in thre…
Exploring High-order three dimensional Virtual Elements: bases and stabilizations
Lorenzo Mascotto, Franco Dassi
We present numerical tests of the Virtual Element Method (VEM) tailored for the discretization of a three dimensional Poisson problem with high-order "polynomial" degree (up to $p=…
Tetrahedral mesh improvement using moving mesh smoothing, lazy searching flips, and RBF surface reconstruction
Franco Dassi, Lennard Kamenski, Patricio Farrell +1
Given a tetrahedral mesh and objective functionals measuring the mesh quality which take into account the shape, size, and orientation of the mesh elements, our aim is to improve t…
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…