Publications
2021
L. Beirao da Veiga, F. Dassi, C. Lovadina, G. Vacca, SUPG-stabilized Virtual Elements for diffusion-convection problems: a robustness analysis, Mathematical Modelling and Numerical Analysis, 55(1):2233 – 2258.
F. Dassi, A. Fumagalli, D. Losapio, S. Scialò, A. Scotti, G. Vacca, The Mixed Virtual Element Method on curved edges in two dimensions, Computer Methods in Applied Mechanics and Engineering, 386: 114098.
L. Beirao da Veiga, C. Canuto, R. H. Nochetto, G. Vacca, Equilibrium analysis of an immersed rigid leaflet by the virtual element method, Mathematical Models and Methods in Applied Sciences, 31(7):1323 – 1372.
L. Beirao da Veiga, A. Pichler, G. Vacca, A virtual element method for the miscible displacement of incompressible fluids in porous media, Computer Methods in Applied Mechanics and Engineering, 375: 113649.
2020
O. Certik, F. Gardini, L. Mascotto, G. Manzini, G. Vacca, The p- and hp-versions of the virtual element method for elliptic eigenvalue problems, Computers & Mathematics with Applications, 79(7):2035 - 2056.
L. Beirao da Veiga, F. Dassi, G. Vacca, The Stokes complex for Virtual Elements in three dimensions Mathematical Models and Methods in Applied Sciences, 30(3):477 - 512
F. Dassi, G. Vacca, Bricks for the mixed high-order virtual element method: Projectors and differential operators, Applied Numerical Mathematics, 155:140 - 159
2019
L. Beirao da Veiga, A. Russo, G. Vacca, The Virtual Element Method with curved edges, Mathematical Modelling and Numerical Analysis, 53(2):375 - 404.
F. Gardini, G. Manzini, G. Vacca, The nonconforming virtual element method for eigenvalue problems, Mathematical Modelling and Numerical Analysis, 53(3):749 - 774.
L. Beirao da Veiga, D. Mora, G. Vacca, The Stokes complex for Virtual Elements with application to Navier--Stokes flows, Journal of Scientific Computing, 81(2): 990 - 1018.
2018
O. Certik, F. Gardini, G. Manzini, G. Vacca, The virtual element method for eigenvalue problems with potential terms on polytopal meshes, Applications of Mathematics 63(3):333-365.
L. Beirao da Veiga, C. Lovadina, G. Vacca, Virtual Elements for the Navier-Stoke problem on polygonal meshes, SIAM Journal on Numerical Analysis, 56(3):1210-1242.
G. Vacca, An H1-conforming virtual element for Darcy and Brinkman equations, Mathematical Models and Methods in Applied Sciences, 28(1):159-194
F. Gardini, G. Vacca, Virtual Element Method for Second Order Elliptic Eigenvalue Problems, IMA Journal of Numerical Analysis, 38(4):2026-2054
2017
L. Beirao da Veiga, L. Lopez, G. Vacca, Mimetic Finite Difference methods for Hamiltonian wave equations in 2D, Computers & Mathematics with Applications, 74(5):1123-1141
G. Vacca, Virtual Element Methods for hyperbolic problems on polygonal meshes, Computers & Mathematics with Applications, 74(5):882-898
L. Beirao da Veiga, C. Lovadina, G. Vacca, Divergence free Virtual Elements for the Stokes problem on polygonal meshes, Mathematical Modelling and Numerical Analysis, 51(2):509-535
2016
L. Lopez, G. Vacca, Spectral Properties and Conservation Laws in Mimetic Finite Difference Methods for PDEs, Journal of Computational and Applied Mathematics, 292:760-784
2015
G. Vacca, L. Beirao da Veiga, Virtual Element Methods for parabolic problems on polygonal meshes, Numerical Methods for Partial Differential Equations, 31(6):2110-2134
Ph. D. Thesis
Advancements in Mimetic and Virtual Element Methods, supervisor Prof. L. Beirao da Veiga (Univ. di Milano-Bicocca) e Prof. L. Lopez (Univ. di Bari);