Publications
2024
L. Beirão da Veiga, F. Dassi and G. Vacca, Robust Finite Elements for Linearized Magnetohydrodynamics, SIAM Journal on Numerical Analysis.
E. B. Chin, F. Dassi, G. Manzini, N. Sukumar, Numerical integration in the virtual element method with the scaled boundary cubature scheme, International Journal For Numerical Methods In Engineering.
F. Dassi, P. Di Barba and A. Russo, Curved Domains in Magnetics: A Virtual Element Method Approach for the T.E.A.M. 25 Benchmark Problem, Electronics.
T. Bevilacqua, F. Dassi, S. Zampini and S. Scacchi, BDDC Preconditioners for Virtual Element Approximations of the Three-Dimensional Stokes Equations, SIAM Journal on Scientific Computing.
F. Dassi, D. Mora, C. Reales and I. Velásquez, Mixed variational formulations of virtual elements for the polyharmonic operator (−Δ)^n, Computers & Mathematics with Applications.
F. Dassi and P. Di Barba, Enriched Virtual Element space on curved meshes with an application in magnetics, Computers & Mathematics with Applications.
2023
F. Dassi, A. Fumagalli, I. Mazzieri and G. Vacca, Mixed Virtual Element approximation of linear acoustic wave equation, IMA Journal of Numerical Analysis.
L. Beirão da Veiga, F. Dassi and G. Vacca, Pressure robust SUPG-stabilized finite elements for the unsteady Navier–Stokes equation, IMA Journal of Numerical Analysis.
S. Naranjo-Alvarez, L. Beirão da Veiga, V.A. Bokil , F. Dassi, V. Gyrya, G. Manzini, The virtual element method for a 2D incompressible MHD system, Mathematics and Computers in Simulation.
L. Beirão da Veiga, F. Dassi, G. Manzini and L. Mascotto, The virtual element method for the 3D resistive magnetohydrodynamic mode, Mathematical Models and Methods in Applied Sciences.
N. A. Barnafi, F. Dassi, S. Scacchi, Parallel block preconditioners for virtual element discretizations of the time-dependent Maxwell equations, Journal of Computational Physics.
2022
P.F. Antonietti, F.Dassi and E. Manuzzi, Machine learning based refinement strategies for polyhedral grids with applications to virtual element and polyhedral discontinuous Galerkin methods, Journal of Computational Physics.
F. Dassi and I. Velásquez, Virtual element method on polyhedral meshes for bi-harmonic eigenvalues problems, Computers & Mathematics with Applications.
F. Dassi, A. Fumagalli, A. Scotti and G. Vacca, Bend 3d mixed virtual element method for Darcy problems, Computers & Mathematics with Applications.
L. Beirão da Veiga, F. Dassi, D. A. Di Pietro and J. Droniou, Arbitrary-order pressure-robust DDR and VEM methods for the Stokes problem on polyhedral meshes, Computer Methods in Applied Mathematics and Engineering.
F. Dassi, P. Di Barba and A. Russo, A free-cutting mesh strategy for optimal shape synthesis in magnetics, IET Science, Measurement & Technology.
F. Dassi, P. Di Barba and A. Russo, Virtual Element Method and Optimal Shape Design in Magnetics, IEEE Transactions on Magnetics.
F. Dassi, S. Zampini and S. Scacchi, Robust and scalable adaptive BDDC preconditioners for virtual element discretizations of elliptic partial differential equations in mixed form, Computer Methods in Applied Mathematics and Engineering.
F. Dassi, J. Gedicke and L. Mascotto, Adaptive virtual element methods with equilibrated fluxes, Applied Numerical Mathematics.
F. Dassi, J. M. Kross, L. Gerardo-Giorda and S. Perotto, A denoising tool for the reconstruction of cortical geometries from MRI. Mathematics and Computers in Simulation.
2021
F. Dassi, A. Fumagalli, I. Mazzieri, A. Scotti and G. Vacca, A Virtual Element Method for the wave equation on curved edges in two dimensions, Journal of Scientific Computing.
F. Dassi, A. Fumagalli, D. Losapio, S. Scialò, A. Scotti and G. Vacca, The Mixed Virtual Element Method for Grids with Curved Interfaces in Single-Phase Flow Problems, SPE Reservoir Simulation Conference.
L. Beirão da Veiga, F. Dassi, G. Manzini and L. Mascotto, Virtual elements for Maxwell's equations, Computers & Mathematics with Applications.
F. Dassi, C. Lovadina and M. Visinoni, Hybridization of the Virtual Element Method for Linear Elasticity Problems, Mathematical Models and Methods in Applied Sciences.
F. Dassi, A. Fumagalli, D. Losapio, S. Scialò, A. Scotti and G. Vacca, The mixed Virtual Element Method on curved edges in two dimensions, Computer Methods in Applied Mathematics and Engineering.
L. Beirão da Veiga, F. Dassi and G. Vacca, Vorticity-Stabilized Virtual Elements for the Oseen Equation, Mathematical Models and Methods in Applied Sciences.
L. Beirão da Veiga, F. Dassi, C. Lovadina and G. Vacca, SUPG-stabilized virtual elements for diffusion-convection problems: a robustness analysis, Mathematical Modelling and Numerical Analysis.
F. Dassi, P. Di Barba and A. Russo, The Virtual Element Method for magnetostatics: Two possible approaches, International Compumag Society Newsletter.
2020
F. Dassi and S. Scacchi, Parallel block preconditioners for three-dimensional virtual element discretizations of saddle-point problems, Computer Methods in Applied Mechanics and Engineering.
F. Dassi, P. Di Barba and A. Russo, Virtual element method and permanent magnet simulations: potential and mixed formulations, IET Science, Measurement & Technology.
L. Beirão da Veiga, F. Dassi and G. Vacca, The Stokes complex for Virtual Elements in three dimensions, Mathematical Models and Methods in Applied Sciences.
F. Dassi, C. Lovadina and M. Visinoni, A three-dimensional Hellinger–Reissner virtual element method for linear elasticity problems, Computer Methods in Applied Mechanics and Engineering.
2019
E. Artioli, L. Beirão da Veiga and F. Dassi, Curvilinear Virtual Elements for 2D solid mechanics applications, Computer Methods in Applied Mechanics and Engineering.
F. Dassi and S. Scacchi, Parallel solvers for virtual element discretizations of elliptic equations in mixed form, Computers & Mathematics with Applications.
L. Beirão da Veiga, F. Dassi and A. Russo, A C1 Virtual Element Method on polyhedral meshes, Computers & Mathematics with Applications.
F. Dassi and G. Vacca, Bricks for the mixed high-order virtual element method: Projectors and differential operators, Applied Numerical Mathematics.
2018
L. Beirão da Veiga, F. Brezzi, F. Dassi, L. D. Marini and A. Russo, A family of three-dimensional virtual elements with applications to magnetostatics, SIAM Journal on Numerical Analysis.
L. Beirão Da Veiga, F. Brezzi, F. Dassi, L. D. Marini and A. Russo, Serendipity virtual elements for general elliptic equations in three dimensions, Chinese Annals of Mathematics, Series B.
L. Beirão da Veiga, F. Brezzi, F. Dassi, L. D. Marini and A. Russo, Lowest order virtual element approximation of magnetostatic problems, Computer Methods in Applied Mechanics and Engineering.
F. Dassi and L. Mascotto, Exploring high-order three dimensional virtual elements: Bases and stabilizations, Computers & Mathematics with Applications.
F. Dassi, A. Mola and H. Si, Curvature-adapted remeshing of cad surfaces, Engineering with Computers.
2017
L. Beirão da Veiga, F. Brezzi, F. Dassi, L. Marini and A. Russo, Virtual element approximation of 2d magnetostatic problems, Computer Methods in Applied Mechanics and Engineering.
L. Beirão da Veiga, F. Dassi and A. Russo, High-order virtual element method on polyhedral meshes. Computers & Mathematics with Applications.
F. Dassi, P. Farrell and H. Si, A novel surface remeshing scheme via radial basis functions and higher-dimensional embedding, SIAM Journal on Scientific Computing.
F. Dassi, L. Kamenski, P. Farrell and H. Si, Tetrahedral mesh improvement using moving mesh smoothing, lazy searching flips, and rbf surface reconstruction, Computer-Aided Design.
F. Dassi, S. Perotto, H. Si and T. Streckenbach, A priori anisotropic mesh adaptation driven by a higher dimensional embedding, Computer-Aided Design.
2016
F. Dassi, P. Farrell and H. Si. An anisoptropic surface remeshing strategy combining higher dimensional embedding with radial basis functions, Procedia Engineering.
F. Dassi, L. Formaggia and S. Zonca. Degenerate tetrahedra removal, Applied Numerical Mathematics..
F. Dassi, L. Kamenski and H. Si. Tetrahedral mesh improvement using moving mesh smoothing and lazy searching flips, Procedia Engineering.
2015
F. Dassi, B. Ettinger, S. Perotto and L. M. Sangalli. A mesh simplification strategy for a spatial regression analysis over the cortical surface of the brain, Applied Numerical Mathematics.
F. Dassi, S. Perotto and L. Formaggia. A priori anisotropic mesh adaptation on implicitly defined surfaces, SIAM Journal on Scientific Computing.
F. Dassi and H. Si. A Curvature-Adapted Anisotropic Surface Re-meshing Method, Springer International Publishing, Cham, 2015.
F. Dassi, H. Si, S. Perotto and T. Streckenbach. Anisotropic finite element mesh adaptation via higher dimensional embedding, Procedia Engineering.
2014
F. Dassi, S. Perotto, L. Formaggia and P. Ruffo. Efficient geometric reconstruction of complex geological structures, Mathematics and Computers in Simulation.
F. Dassi, A. Mola and H. Si. Curvature-adapted remeshing of CAD surfaces, Procedia Engineering.
PHD THESIS
Advanced Techniques for the Generation and the Adaptation of Complex Surface Meshes, advisor Prof.ssa Simona Perotto, co-advisor Prof. Luca Formaggia.