Convergence of a nonlinear wavelet algorithm for the solution of PDEs. - Silvia Bertoluzza; Marco Verani (Appl. Math. Lett., 2003)

A wavelet adaptive Newton method for the solution of nonlinear equations. - Marco Verani (Appl. Math. Lett., 2003)

Stabilizing Role of a Curvature Correction to Line Tension. - Riccardo Rosso; Marco Verani (SIAM J. Appl. Math., 2008)

A new marking strategy for the adaptive finite element approximation of optimal control constrained problems. - Stefano Berrone; Marco Verani (Optim. Methods Softw., 2011)

Mimetic Finite Difference Method for Shape Optimization Problems. - Paola F. Antonietti; Nadia Bigoni; Marco Verani (ENUMATH, 2013)

Mimetic Discretizations of Elliptic Control Problems. - Paola F. Antonietti; Nadia Bigoni; Marco Verani (J. Sci. Comput., 2013)

A mimetic discretization of elliptic obstacle problems. - Paola F. Antonietti; Lourenço Beirão da Veiga; Marco Verani (Math. Comput., 2013)

Multigrid Shape Optimization Governed by Elliptic PDEs. - Paola F. Antonietti; Alfio Borzì; Marco Verani (SIAM J. Control. Optim., 2013)

Hierarchical A Posteriori Error Estimators for the Mimetic Discretization of Elliptic Problems. - Paola F. Antonietti; Lourenço Beirão da Veiga; Carlo Lovadina; Marco Verani (SIAM J. Numer. Anal., 2013)

Contraction and optimality properties of adaptive Legendre-Galerkin methods: The one-dimensional case. - Claudio Canuto; Ricardo H. Nochetto; Marco Verani (Comput. Math. Appl., 2014)

Adaptive Fourier-Galerkin methods. - Claudio Canuto; Ricardo H. Nochetto; Marco Verani (Math. Comput., 2014)

A Stream Virtual Element Formulation of the Stokes Problem on Polygonal Meshes. - Paola F. Antonietti; Lourenço Beirão da Veiga; David Mora; Marco Verani (SIAM J. Numer. Anal., 2014)

A two-level method for mimetic finite difference discretizations of elliptic problems. - Paola F. Antonietti; Marco Verani; Ludmil T. Zikatanov (Comput. Math. Appl., 2015)

Contraction and Optimality Properties of an Adaptive Legendre-Galerkin Method: The Multi-Dimensional Case. - Claudio Canuto; Valeria Simoncini; Marco Verani (J. Sci. Comput., 2015)

High Order Discontinuous Galerkin Methods for Elliptic Problems on Surfaces. - Paola F. Antonietti; Andreas Dedner; Pravin Madhavan; Simone Stangalino; Björn Stinner; Marco Verani (SIAM J. Numer. Anal., 2015)

Multigrid Algorithms for hp-Discontinuous Galerkin Discretizations of Elliptic Problems. - Paola F. Antonietti; Marco Sarti; Marco Verani (SIAM J. Numer. Anal., 2015)

Discontinuous Galerkin Approximation of Linear Parabolic Problems with Dynamic Boundary Conditions. - Paola F. Antonietti; Maurizio Grasselli; Simone Stangalino; Marco Verani (J. Sci. Comput., 2016)

A C1 Virtual Element Method for the Cahn-Hilliard Equation with Polygonal Meshes. - Paola F. Antonietti; Lourenço Beirão da Veiga; Simone Scacchi; Marco Verani (SIAM J. Numer. Anal., 2016)

Adaptive Spectral Galerkin Methods with Dynamic Marking. - Claudio Canuto; Ricardo H. Nochetto; Rob Stevenson 001; Marco Verani (SIAM J. Numer. Anal., 2016)

On the virtual element method for topology optimization on polygonal meshes: A numerical study. - Paola F. Antonietti; Matteo Bruggi; Simone Scacchi; Marco Verani (Comput. Math. Appl., 2017)

On p-robust saturation for hp-AFEM. - Claudio Canuto; Ricardo H. Nochetto; Rob Stevenson 001; Marco Verani (Comput. Math. Appl., 2017)

A Uniform Additive Schwarz Preconditioner for High-Order Discontinuous Galerkin Approximations of Elliptic Problems. - Paola F. Antonietti; Marco Sarti; Marco Verani; Ludmil T. Zikatanov (J. Sci. Comput., 2017)

Convergence and optimality of ({ mathbf {hp}} ) -AFEM. - Claudio Canuto; Ricardo H. Nochetto; Rob Stevenson 001; Marco Verani (Numerische Mathematik, 2017)

On a free-surface problem with moving contact line: From variational principles to stable numerical approximations. - Ivan Fumagalli; Nicola Parolini; Marco Verani (J. Comput. Phys., 2018)

The virtual element method for linear elastodynamics models. Design, analysis, and implementation. - Paola F. Antonietti; Gianmarco Manzini; Hashem M. Mourad; Marco Verani (CoRR, 2019)

The Virtual Element Method for a Minimal Surface Problem. - Paola Francesca Antonietti; Silvia Bertoluzza; Daniele Prada; Marco Verani (CoRR, 2019)

An optimal adaptive Fictitious Domain Method. - Stefano Berrone; Andrea Bonito; Rob Stevenson 001; Marco Verani (Math. Comput., 2019)

Discontinuous Galerkin Approximation of Flows in Fractured Porous Media on Polytopic Grids. - Paola F. Antonietti; Chiara Facciolà; Alessandro Russo 002; Marco Verani (SIAM J. Sci. Comput., 2019)

The conforming virtual element method for polyharmonic problems. - Paola F. Antonietti; Gianmarco Manzini; Marco Verani (Comput. Math. Appl., 2020)

Anisotropic a posteriori error estimate for the Virtual Element Method. - Paola Francesca Antonietti; Stefano Berrone; Andrea Borio; Alessandro D'Auria; Marco Verani; Steffen Weißer (CoRR, 2020)

A diffuse interface box method for elliptic problems. - G. Negrini; Nicola Parolini; Marco Verani (Appl. Math. Lett., 2021)

SUIHTER: A new mathematical model for COVID-19. Application to the analysis of the second epidemic outbreak in Italy. - Nicola Parolini; Luca Dedè; Paola F. Antonietti; Giovanni Ardenghi; Andrea Manzoni; Edie Miglio; Andrea Pugliese 003; Marco Verani; Alfio Quarteroni (CoRR, 2021)

The conforming virtual element method for polyharmonic and elastodynamics problems: a review. - Paola Francesca Antonietti; Gianmarco Manzini; Ilario Mazzieri; Simone Scacchi; Marco Verani (CoRR, 2021)

A review on arbitrarily regular conforming virtual element methods for elliptic partial differential equations. - Paola Francesca Antonietti; Gianmarco Manzini; Simone Scacchi; Marco Verani (CoRR, 2021)

Adaptive VEM: Stabilization-Free A Posteriori Error Analysis. - L. Beirão da Veiga; Claudio Canuto; Ricardo H. Nochetto; Giuseppe Vacca; Marco Verani (CoRR, 2021)

On arbitrarily regular conforming virtual element methods for elliptic partial differential equations. - Paola Francesca Antonietti; Gianmarco Manzini; Simone Scacchi; Marco Verani (CoRR, 2021)

C1-VEM for some variants of the Cahn-Hilliard equation: a numerical exploration. - Paola F. Antonietti; Simone Scacchi; Giuseppe Vacca; Marco Verani (CoRR, 2021)

Polytopic discontinuous Galerkin methods for the numerical modelling of flow in porous media with networks of intersecting fractures. - Paola F. Antonietti; Chiara Facciolà; Marco Verani (Comput. Math. Appl., 2022)

Non-isothermal non-Newtonian fluids: the stationary case. - Maurizio Grasselli; Nicola Parolini; Andrea Poiatti; Marco Verani (CoRR, 2022)

Virtual Element Method for the Navier-Stokes Equation coupled with the Heat Equation. - Paola Francesca Antonietti; Giuseppe Vacca; Marco Verani (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)

Adaptive VEM for variable data: convergence and optimality. - L. Beirão da Veiga; Claudio Canuto; Ricardo H. Nochetto; Giuseppe Vacca; Marco Verani (CoRR, 2023)

A DG-VEM method for the dissipative wave equation. - Paola Francesca Antonietti; Francesca Bonizzoni; Marco Verani (CoRR, 2023)

The Rhie-Chow stabilized Box Method for the Stokes problem. - G. Negrini; Nicola Parolini; Marco Verani (CoRR, 2023)

Agglomeration-Based Geometric Multigrid Schemes for the Virtual Element Method. - Paola F. Antonietti; Stefano Berrone; Martina Busetto; Marco Verani (SIAM J. Numer. Anal., 2023)

Adaptive VEM: Stabilization-Free A Posteriori Error Analysis and Contraction Property. - L. Beirão da Veiga; Claudio Canuto; Ricardo H. Nochetto; Giuseppe Vacca; Marco Verani (SIAM J. Numer. Anal., 2023)

A cVEM-DG space-time method for the dissipative wave equation. - Paola F. Antonietti; Francesca Bonizzoni; Marco Verani (Comput. Math. Appl., 2023)

Iterative solution to the biharmonic equation in mixed form discretized by the Hybrid High-Order method. - Paola F. Antonietti; Pierre Matalon; Marco Verani (Comput. Math. Appl., 2024)

Level set-fitted polytopal meshes with application to structural topology optimization. - Nicola Ferro 002; Stefano Micheletti; Nicola Parolini; Simona Perotto; Marco Verani; Paola Francesca Antonietti (Comput. Math. Appl., 2024)

A Virtual Element method for non-Newtonian fluid flows. - Paola F. Antonietti; L. Beirão da Veiga; Michele Botti; Giuseppe Vacca; Marco Verani (CoRR, 2024)

Learning epidemic trajectories through Kernel Operator Learning: from modelling to optimal control. - Giovanni Ziarelli; Nicola Parolini; Marco Verani (CoRR, 2024)

An Immersed Boundary Method for Polymeric Continuous Mixing. - G. Negrini; Nicola Parolini; Marco Verani (CoRR, 2024)

Design of a checkerboard counterflow heat exchanger for industrial applications. - Nicola Parolini; V. Covello; Alessandro Della Rocca; Marco Verani (CoRR, 2024)

A model learning framework for inferring the dynamics of transmission rate depending on exogenous variables for epidemic forecasts. - Giovanni Ziarelli; Stefano Pagani; Nicola Parolini; Francesco Regazzoni 002; Marco Verani (CoRR, 2024)

Structure-Preserving Neural Networks in Data-Driven Rheological Models. - Nicola Parolini; Andrea Poiatti; Julian Vene'; Marco Verani (SIAM J. Sci. Comput., 2025)

A Posteriori Error Analysis for a Coupled Stokes-Poroelastic System with Multiple Compartments. - Ivan Fumagalli; Nicola Parolini; Marco Verani (J. Sci. Comput., 2025)

Learning cardiac activation and repolarization times with operator learning. - Edoardo Centofanti; Giovanni Ziarelli; Nicola Parolini; Simone Scacchi; Marco Verani; Luca Franco Pavarino (CoRR, 2025)