Preprints/submitted

1. A. Bressan, L. Mascotto, M. Mosconi
   New Crouzeix-Raviart elements of even degree: theoretical aspects, numerical performance, and applications to the Stokes' equations
   [ preprint ] [ bibtex ]
   
   
2. M. Botti, L. Mascotto, G. Vacca, M. Visinoni
   Stability and interpolation estimates of Hellinger-Reissner virtual element spaces
   [ preprint ] [ bibtex ]
   
   
3. Z. Dong, L. Mascotto, Z. Wang
   A priori and a posteriori error estimates of a DG-CG method for the wave equation in second order formulation
   [ preprint ] [ bibtex ]
   
   
4. T. Chaumont-Frelet, J. Gedicke, L. Mascotto
   Generalised gradients for virtual elements and applications to a posteriori error analysis
   [ preprint ] [ bibtex ]
   
   

Journals

1. L. Beirão da Veiga, K. Hu, L. Mascotto
   Error estimates for a helicity-preserving finite element discretisation of an incompressible magnetohydrodynamics system
   ESAIM Mathematical Modelling and Numerical Analysis 59(2), pp. 1075-1094 (2025)
   [ article ] [ preprint ] [ bibtex ]
   
   
2. M. Botti, L. Mascotto
   A Nečas-Lions inequality with symmetric gradients on star-shaped domains based on a first order Babuška-Aziz inequality
   Journal of Mathematical Analysis and Applications 545(2), 129159 (2025) [ article ] [ preprint ] [ bibtex ]
   
   
3. Z. Dong, L. Mascotto
   hp-optimal convergence of the original DG method for linear hyperbolic problems on special simplicial meshes
   IMA Journal of Numerical Analysis, published online (2024) [ article ] [ preprint ] [ bibtex ]
   
   
4. L. Beirão da Veiga, Y. Liu, L. Mascotto, A. Russo
   The nonconforming virtual element method with curved edges
   Journal of Scientific Computing 99, article number 23 (2024)
   [ article ] [ preprint ] [ bibtex ]
   
   
5. E. Artioli, L. Mascotto
   Enriched virtual elements for plane elasticity with corner singularities
   Computational Mechanics, 79, pp. 1439-1454 (2024)
   [ article ] [ bibtex ]
   
   
6. S. Gómez, L. Mascotto, A. Moiola, I. Perugia
   Space-time virtual elements for the heat equation
   SIAM Journal on Numerical Analysis, 62(1), pp. 199-228 (2024)
   [ article ] [ preprint ] [ bibtex ]
   
   
7. S. Gómez, L. Mascotto, I. Perugia
   Design and performance of a space-time virtual element method for the heat equation on prismatic meshes
   Computer Methods in Applied Mechanics and Engineering, 418A, 116491 (2024)
   [ article ] [ preprint ] [ bibtex ]
   
   
8. L. Mascotto
   The role of stabilization in the virtual element method: a survey
   Computers & Mathematics with Applications, 151, pp. 244-251 (2023)
   [ article ] [ preprint ] [ bibtex ]
   
   
9. Z. Dong, L. Mascotto
   hp-optimal interior penalty discontinuous Galerkin methods for the biharmonic problem
   Journal of Scientific Computing 96, article number 30 (2023)
   [ article ] [ preprint ] [ bibtex ]
   
   
10. L. Beirão da Veiga, F. Dassi, G. Manzini, L. Mascotto
    The Virtual Element Method for the 3D Resistive Magnetohydrodynamic model
    Mathematical Models and Methods in Applied Sciences 33(3), pp. 643-686 (2023)
    [ article ] [ preprint ] [ bibtex ]
    
    
11. L. Beirão da Veiga, L. Mascotto
    Interpolation and stability properties of low order face and edge virtual element spaces
    IMA Journal of Numerical Analysis, 43(2), pp. 828-851 (2023)
    [ article ] [ preprint ] [ bibtex ]
    
    
12. L. Beirão da Veiga, L. Mascotto
    Stability and interpolation properties of serendipity nodal virtual elements
    Applied Mathematics Letters, 142, article number 108639 (2023)
    [ article ] [ preprint ] [ bibtex ]
    
    
13. L. Beirão da Veiga, L. Mascotto, J. Meng
    Stability and interpolation properties for Stokes-like virtual element spaces
    Journal of Scientific Computing 94(3), article number 56 (2023)
    [ article ] [ preprint ] [ bibtex ]
    
    
14. L. Beirão da Veiga, L. Mascotto, J. Meng
    Interpolation and stability estimates for edge and face virtual elements of general order
    Mathematical Models and Methods in Applied Sciences 32(8), pp. 1589-1631 (2022)
    [ article ] [ preprint ] [ bibtex ]
    
    
15. Ch. Erath, L. Mascotto, J. M. Melenk, I. Perugia, A. Rieder
    Mortar coupling of hp-discontinuous Galerkin and boundary element methods for the Helmholtz equation
    Journal of Scientific Computing, 92(2), article number 2 (2022)
    [ article ] [ preprint ] [ bibtex ]
    
    
16. F. Dassi, J. Gedicke, L. Mascotto
    Adaptive virtual element methods with equilibrated fluxes
    Applied Numerical Mathematics, 173, pp. 249-278 (2022)
    [ article ] [ preprint ] [ bibtex ]
    
    
17. P. F. Antonietti, L. Mascotto, M. Verani, S. Zonca
    Stability analysis of polytopic Discontinuous Galerkin approximations of the Stokes problem with applications to fluid-structure interaction problems
    Journal of Scientific Computing, 90(1), article number 23 (2022)
    [ article ] [ preprint ] [ bibtex ]
    
    
18. L. Beirão da Veiga, F. Dassi, G. Manzini, L. Mascotto
    Virtual elements for Maxwell's equations
    Computers & Mathematics with Applications, 116, pp. 82-99 (2022)
    [ article ] [ preprint ] [ bibtex ]
    
    
19. E. Artioli, L. Mascotto
    Enrichment of the nonconforming virtual element method with singular functions
    Computer Methods in Applied Mechanics and Engineering, 385, 114024 (2021)
    [ article ] [ preprint ] [ bibtex ]
    
    
20. Z. Dong, L. Mascotto, O. J. Sutton
    Residual-based a posteriori error estimates for hp-discontinuous Galerkin discretisations of the biharmonic problem
    SIAM Journal on Numerical Analysis, 59(3), pp. 1273-1298 (2021)
    [ article ] [ preprint ] [ bibtex ]
    
    
21. A. Chernov, C. Marcati, L. Mascotto
    p- and hp-virtual elements for the Stokes problem
    Advances in Computational Mathematics, 47(2), article number 24 (2021)
    [ article ] [ preprint ] [ bibtex ]
    
    
22. L. Mascotto, J. M. Melenk, I. Perugia, A. Rieder
    FEM-BEM mortar coupling for the Helmholtz equation in three dimensions
    Computers & Mathematics with Applications, 80(11), pp. 2351-2378 (2020)
    [ article ] [ preprint ] [ bibtex ]
    
    
23. L. Mascotto, A. Pichler
    Extension of the nonconforming Trefftz virtual element method to the Helmholtz problem with piecewise constant wave number
    Applied Numerical Mathematics, 155, pp. 160-180 (2020)
    [ article ] [ preprint ] [ bibtex ]
    
    
24. O. Certik, F. Gardini, G. Manzini, L. Mascotto, G. Vacca
    The p- and hp-versions of the virtual element method for elliptic eigenvalue problems
    Computers & Mathematics with Applications, 79(7), pp. 2035–2056 (2020)
    [ article ] [ preprint ] [ bibtex ]
    
    
25. A. Chernov, L. Mascotto
    The harmonic virtual element method: stabilization and exponential convergence for the Laplace problem on polygonal domain
    IMA Journal on Numerical Analysis, 39(4), pp. 1787–1817 (2019)
    [ article ] [ preprint ] [ bibtex ]
    
    
26. L. Mascotto, I. Perugia, A. Pichler
    A nonconforming Trefftz virtual element method for the Helmholtz problem
    Mathematical Models and Methods in Applied Sciences, 29(9), pp. 1619–1656 (2019)
    [ article ] [ preprint ] [ bibtex ]
    
    
27. L. Beirão da Veiga, G. Manzini, L. Mascotto
    A posteriori error estimation and adaptivity in hp virtual elements
    Numerische Mathematik, 143(1), pp. 139–175 (2019)
    [ article ] [ preprint ] [ bibtex ]
    
    
28. L. Mascotto, I. Perugia, A. Pichler
    A nonconforming Trefftz virtual element method for the Helmholtz problem: numerical aspects
    Computer Methods in Applied Mechanics and Engineering 347, pp. 445-476 (2019)
    [ article ] [ preprint ] [ bibtex ]
    
    
29. L. Mascotto, I. Perugia, A. Pichler
    Non-conforming harmonic virtual element method: h- and p-versions
    Journal of Scientific Computing 77(3), pp. 1874-1908 (2018)
    [ article ] [ preprint ] [ bibtex ]
    
    
30. P. F. Antonietti, L. Mascotto, M. Verani
    A multigrid algorithm for the p-version of the virtual element method
    ESAIM Mathematical Modelling and Numerical Analysis 52(1), pp. 337-364 (2018)
    [ article ] [ preprint ] [ bibtex ]
    
    
31. L. Mascotto
    Ill-conditioning in the virtual element method: stabilizations and bases
    Numerical Methods for Partial Differential Equations 34(4), pp. 1258-1281 (2018)
    [ article ] [ preprint ] [ bibtex ]
    
    
32. F. Dassi, L. Mascotto
    Exploring high-order three dimensional virtual elements
    Computers & Mathematics with Applications 75(9), pp. 3379-3401 (2018)
    [ article ] [ preprint ] [ bibtex ]
    
    
33. L. Beirão da Veiga, A. Chernov, L. Mascotto, A. Russo
    Exponential convergence of the hp virtual element method in presence of corner singularities
    Numerische Mathematik 138(3), pp. 581-613 (2018)
    [ article ] [ preprint ] [ bibtex ]
    
    
34. L. Beirão da Veiga, A. Chernov, L. Mascotto, A. Russo
    Basic principles of hp virtual elements on quasiuniform meshes
    Mathematical Models and Methods in Applied Sciences 26(8), pp. 1567-1598 (2016)
    [ article ] [ preprint ] [ bibtex ]
    
    

Proceedings

1. Z. Dong, L. Mascotto
   On the suboptimality of the p-version discontinuous Galerkin methods for first order hyperbolic problems
   14th WCCM-ECCOMAS Congress 2020. Vol. 700 (2021)
   [ proceeding ] [ preprint ] [ bibtex ]
   
   

Chapters

1. L. Mascotto, I. Perugia, A. Pichler
   The nonconforming Trefftz virtual element method: general setting, applications, and dispersion analysis for the Helmholtz equation
   In ``The Virtual Element Method and its Applications", SEMA SIMAI Springer Series, vol. 31, pp. 363-410, (2022)
   [ chapter ] [ preprint ] [ bibtex ]
   
   

Thesis

1. L. Mascotto
   PhD Thesis, 2018
   The hp version of the Virtual Element Method
   Supervisors: L. Beirão da Veiga, A. Chernov
[ link ]
2. L. Mascotto
   Master Thesis, 2014
   Virtual elements for the Stokes and Navier-Stokes problems
   Supervisor: L. Beirão da Veiga