activity
20182021
most citedCurvilinear Virtual Elements for 2D solid mechanics applications

50 citations · 51 across the 4 of their papers we have counts for

collaborators

6 papers

math.NA2021

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…

math.NA2020

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…

math.NA20201 cited

The mixed virtual element method for grids with curved interfaces

Franco Dassi, Alessio Fumagalli, Davide Losapio +3

In many applications the accurate representation of the computational domain is a key factor to obtain reliable and effective numerical solutions. Curved interfaces, which might be…

math.NA201950 cited

Curvilinear Virtual Elements for 2D solid mechanics applications

E. Artioli, L. Beirão da Veiga, F. Dassi

In the present work we generalize the curvilinear Virtual Element technology, introduced for a simple linear scalar problem in a previous work, to generic 2D solid mechanic problem…

math.NA2019

A three-dimensional Hellinger-Reissner Virtual Element Method for linear elasticity problems

F. Dassi, C. Lovadina, M. Visinoni

We present a Virtual Element Method for the 3D linear elasticity problems, based on Hellinger-Reissner variational principle. In the framework of the small strain theory, we propos…

math.NA2018

Virtual Element Method on polyhedral meshes

Lourenco Beirão da Veiga, Franco Dassi, Alessandro Russo

The purpose of the present paper is to develop Virtual Elements in three dimensions for linear elliptic fourth order problems, motivated by the difficulties that standard con…