Exploring high-order three dimensional virtual elements: Bases and stabilizations. - Franco Dassi; Lorenzo Mascotto (Comput. Math. Appl., 2018)

Non-conforming Harmonic Virtual Element Method: $$h$$ h - and $$p$$ p -Versions. - Lorenzo Mascotto; Ilaria Perugia; Alexander Pichler (J. Sci. Comput., 2018)

Exponential convergence of the hp virtual element method in presence of corner singularities. - Lourenço Beirão da Veiga; Alexey Chernov; Lorenzo Mascotto; Alessandro Russo 002 (Numerische Mathematik, 2018)

A posteriori error estimation and adaptivity in hp virtual elements. - L. Beirão da Veiga; Gianmarco Manzini; Lorenzo Mascotto (Numerische Mathematik, 2019)

The p- and hp-versions of the virtual element method for elliptic eigenvalue problems. - Ondrej Certík; Francesca Gardini; Gianmarco Manzini; Lorenzo Mascotto; Giuseppe Vacca (Comput. Math. Appl., 2020)

FEM-BEM mortar coupling for the Helmholtz problem in three dimensions. - Lorenzo Mascotto; Jens Markus Melenk; Ilaria Perugia; Alexander Rieder (Comput. Math. Appl., 2020)

Adaptive virtual element methods with equilibrated flux. - Franco Dassi; Joscha Gedicke; Lorenzo Mascotto (CoRR, 2020)

A new paradigm for enriching virtual element methods. - Edoardo Artioli; Lorenzo Mascotto (CoRR, 2020)

Residual-based a posteriori error estimates for hp-discontinuous Galerkin discretisations of the biharmonic problem. - Zhaonan Dong; Lorenzo Mascotto; Oliver J. Sutton (CoRR, 2020)

Interpolation and stability properties of low order face and edge virtual element spaces. - Lourenço Beirão da Veiga; Lorenzo Mascotto (CoRR, 2020)

p- and hp- virtual elements for the Stokes problem. - Alexey Chernov; Carlo Marcati; Lorenzo Mascotto (Adv. Comput. Math., 2021)

On the suboptimality of the p-version discontinuous Galerkin methods for first order hyperbolic problems. - Zhaonan Dong; Lorenzo Mascotto (CoRR, 2021)

The nonconforming Trefftz virtual element method: general setting, applications, and dispersion analysis for the Helmholtz equation. - Lorenzo Mascotto; Ilaria Perugia; Alexander Pichler (CoRR, 2021)

Residual-Based A Posteriori Error Estimates for hp-Discontinuous Galerkin Discretizations of the Biharmonic Problem. - Zhaonan Dong; Lorenzo Mascotto; Oliver J. Sutton (SIAM J. Numer. Anal., 2021)

Virtual elements for Maxwell's equations. - L. Beirão da Veiga; Franco Dassi; Gianmarco Manzini; Lorenzo Mascotto (Comput. Math. Appl., 2022)

The Virtual Element Method for the 3D Resistive Magnetohydrodynamic model. - Lourenço Beirão da Veiga; Franco Dassi; Gianmarco Manzini; Lorenzo Mascotto (CoRR, 2022)

Interpolation and stability estimates for edge and face virtual elements of general order. - Lourenço Beirão da Veiga; Lorenzo Mascotto; Jian Meng (CoRR, 2022)

hp-optimal interior penalty discontinuous Galerkin methods for the biharmonic problem. - Zhaonan Dong; Lorenzo Mascotto (CoRR, 2022)

Stability Analysis of Polytopic Discontinuous Galerkin Approximations of the Stokes Problem with Applications to Fluid-Structure Interaction Problems. - Paola F. Antonietti; Lorenzo Mascotto; Marco Verani; Stefano Zonca (J. Sci. Comput., 2022)

Mortar Coupling of hp-Discontinuous Galerkin and Boundary Element Methods for the Helmholtz Equation. - Christoph Erath; Lorenzo Mascotto; Jens Markus Melenk; Ilaria Perugia; Alexander Rieder (J. Sci. Comput., 2022)

Design and performance of a space-time virtual element method for the heat equation on prismatic meshes. - Sergio Gómez 001; Lorenzo Mascotto; Ilaria Perugia (CoRR, 2023)

$hp$-optimal convergence of the original DG method for linear hyperbolic problems on special simplicial meshes. - Zhaonan Dong; Lorenzo Mascotto (CoRR, 2023)

Stability and Interpolation Properties for Stokes-Like Virtual Element Spaces. - Jian Meng; Lourenço Beirão da Veiga; Lorenzo Mascotto (J. Sci. Comput., 2023)

hp-Optimal Interior Penalty Discontinuous Galerkin Methods for the Biharmonic Problem. - Z. Dong; Lorenzo Mascotto (J. Sci. Comput., 2023)

Stability and interpolation properties of serendipity nodal virtual elements. - Lourenço Beirão da Veiga; Lorenzo Mascotto (Appl. Math. Lett., 2023)

The role of stabilization in the virtual element method: A survey. - Lorenzo Mascotto (Comput. Math. Appl., 2023)

Convergence analysis of a helicity-preserving finite element discretisation for an incompressible magnetohydrodynamics system. - Lourenço Beirão da Veiga; K. Hu; Lorenzo Mascotto (CoRR, 2024)

Generalised gradients for virtual elements and applications to a posteriori error analysis. - Théophile Chaumont-Frelet; Joscha Gedicke; Lorenzo Mascotto (CoRR, 2024)

A priori and a posteriori error estimates of a DG-CG method for the wave equation in second order formulation. - Zhaonan Dong; Lorenzo Mascotto; Zuodong Wang (CoRR, 2024)

Space-Time Virtual Elements for the Heat Equation. - Sergio Gómez 001; Lorenzo Mascotto; Andrea Moiola; Ilaria Perugia (SIAM J. Numer. Anal., 2024)

The Nonconforming Virtual Element Method with Curved Edges. - Lourenço Beirão da Veiga; Yi Liu 101; Lorenzo Mascotto; Alessandro Russo 002 (J. Sci. Comput., 2024)

Stability and interpolation estimates of Hellinger-Reissner virtual element spaces. - Michele Botti; Lorenzo Mascotto; Giuseppe Vacca; Michele Visinoni (CoRR, 2025)

New Crouzeix-Raviart elements of even degree: theoretical aspects, numerical performance, and applications to the Stokes' equations. - Andrea Bressan; Lorenzo Mascotto; Marialetizia Mosconi (CoRR, 2025)

Sobolev-Poincaré inequalities for piecewise W1,p functions over general polytopic meshes. - Michele Botti; Lorenzo Mascotto (CoRR, 2025)

A generalized Hessian-based error estimator for an IPDG formulation of the biharmonic problem in two dimensions. - Théophile Chaumont-Frelet; Joscha Gedicke; Lorenzo Mascotto (CoRR, 2025)