Marco Verani

Publication Activity (10 Years)

Years Active: 2003-2024
Publications (10 Years): 43

Top Topics

Partial Differential Equations

Multiphase Segmentation

Top Venues

Comput. Math. Appl.

SIAM J. Numer. Anal.

J. Sci. Comput.

Publications

Nicola Ferro, Stefano Micheletti, Nicola Parolini, Simona Perotto, Marco Verani, Paola Francesca Antonietti
Level set-fitted polytopal meshes with application to structural topology optimization. Comput. Math. Appl. 169 (2024)
Nicola Parolini, Andrea Poiatti, Julian Vene', Marco Verani
Structure-preserving neural networks in data-driven rheological models. CoRR (2024)
Giovanni Ziarelli, Nicola Parolini, Marco Verani
Learning epidemic trajectories through Kernel Operator Learning: from modelling to optimal control. CoRR (2024)
Paola F. Antonietti, L. Beirão da Veiga, Michele Botti, Giuseppe Vacca, Marco Verani
A Virtual Element method for non-Newtonian fluid flows. CoRR (2024)
Paola F. Antonietti, Pierre Matalon, Marco Verani
Iterative solution to the biharmonic equation in mixed form discretized by the Hybrid High-Order method. Comput. Math. Appl. 171 (2024)
Ivan Fumagalli, Nicola Parolini, Marco Verani
A posteriori error analysis for a coupled Stokes-poroelastic system with multiple compartments. CoRR (2024)
Nicola Ferro, Stefano Micheletti, Nicola Parolini, Simona Perotto, Marco Verani, Paola Francesca Antonietti
Level set-fitted polytopal meshes with application to structural topology optimization. CoRR (2023)
L. Beirão da Veiga, Claudio Canuto, Ricardo H. Nochetto, Giuseppe Vacca, Marco Verani
Adaptive VEM for variable data: convergence and optimality. CoRR (2023)
Paola F. Antonietti, Pierre Matalon, Marco Verani
Iterative solution to the biharmonic equation in mixed form discretized by the Hybrid High-Order method. CoRR (2023)
Paola F. Antonietti, Francesca Bonizzoni, Marco Verani
A cVEM-DG space-time method for the dissipative wave equation. Comput. Math. Appl. 152 (2023)
Paola F. Antonietti, Stefano Berrone, Martina Busetto, Marco Verani
Agglomeration-Based Geometric Multigrid Schemes for the Virtual Element Method. SIAM J. Numer. Anal. 61 (1) (2023)
L. Beirão da Veiga, Claudio Canuto, Ricardo H. Nochetto, Giuseppe Vacca, Marco Verani
Adaptive VEM: Stabilization-Free A Posteriori Error Analysis and Contraction Property. SIAM J. Numer. Anal. 61 (2) (2023)
Paola Francesca Antonietti, Francesca Bonizzoni, Marco Verani
A DG-VEM method for the dissipative wave equation. CoRR (2023)
G. Negrini, Nicola Parolini, Marco Verani
The Rhie-Chow stabilized Box Method for the Stokes problem. CoRR (2023)
Paola F. Antonietti, Chiara Facciolà, Marco Verani
Polytopic discontinuous Galerkin methods for the numerical modelling of flow in porous media with networks of intersecting fractures. Comput. Math. Appl. 116 (2022)
Paola Francesca Antonietti, Giuseppe Vacca, Marco Verani
Virtual Element Method for the Navier-Stokes Equation coupled with the Heat Equation. CoRR (2022)
Paola F. Antonietti, Lorenzo Mascotto, Marco Verani, Stefano Zonca
Stability Analysis of Polytopic Discontinuous Galerkin Approximations of the Stokes Problem with Applications to Fluid-Structure Interaction Problems. J. Sci. Comput. 90 (1) (2022)
Maurizio Grasselli, Nicola Parolini, Andrea Poiatti, Marco Verani
Non-isothermal non-Newtonian fluids: the stationary case. CoRR (2022)
L. Beirão da Veiga, Claudio Canuto, Ricardo H. Nochetto, Giuseppe Vacca, Marco Verani
Adaptive VEM: Stabilization-Free A Posteriori Error Analysis. CoRR (2021)
Nicola Parolini, Luca Dedè, Paola F. Antonietti, Giovanni Ardenghi, Andrea Manzoni, Edie Miglio, Andrea Pugliese, Marco Verani, Alfio Quarteroni
SUIHTER: A new mathematical model for COVID-19. Application to the analysis of the second epidemic outbreak in Italy. CoRR (2021)
Paola Francesca Antonietti, Gianmarco Manzini, Simone Scacchi, Marco Verani
A review on arbitrarily regular conforming virtual element methods for elliptic partial differential equations. CoRR (2021)
Paola Francesca Antonietti, Gianmarco Manzini, Simone Scacchi, Marco Verani
On arbitrarily regular conforming virtual element methods for elliptic partial differential equations. CoRR (2021)
G. Negrini, Nicola Parolini, Marco Verani
A diffuse interface box method for elliptic problems. CoRR (2021)
Paola F. Antonietti, Simone Scacchi, Giuseppe Vacca, Marco Verani
-VEM for some variants of the Cahn-Hilliard equation: a numerical exploration. CoRR (2021)
Paola Francesca Antonietti, Stefano Berrone, Martina Busetto, Marco Verani
Agglomeration-based geometric multigrid schemes for the Virtual Element Method. CoRR (2021)
Paola Francesca Antonietti, Gianmarco Manzini, Ilario Mazzieri, Simone Scacchi, Marco Verani
The conforming virtual element method for polyharmonic and elastodynamics problems: a review. CoRR (2021)
G. Negrini, Nicola Parolini, Marco Verani
A diffuse interface box method for elliptic problems. Appl. Math. Lett. 120 (2021)
Paola F. Antonietti, Lorenzo Mascotto, Marco Verani, Stefano Zonca
Stability analysis of polytopic Discontinuous Galerkin approximations of the Stokes problem with applications to fluid-structure interaction problems. CoRR (2020)
Paola Francesca Antonietti, Stefano Berrone, Andrea Borio, Alessandro D'Auria, Marco Verani, Steffen Weißer
Anisotropic a posteriori error estimate for the Virtual Element Method. CoRR (2020)
Paola Francesca Antonietti, Chiara Facciolà, Marco Verani
Polytopic Discontinuous Galerkin methods for the numerical modelling of flow in porous media with networks of intersecting fractures. CoRR (2020)
Paola F. Antonietti, Gianmarco Manzini, Marco Verani
The conforming virtual element method for polyharmonic problems. Comput. Math. Appl. 79 (7) (2020)
Paola F. Antonietti, Gianmarco Manzini, H. Mourad, Marco Verani
The virtual element method for linear elastodynamics models. Design, analysis, and implementation. CoRR (2019)
Paola Francesca Antonietti, Silvia Bertoluzza, Daniele Prada, Marco Verani
The Virtual Element Method for a Minimal Surface Problem. CoRR (2019)
Stefano Berrone, Andrea Bonito, Rob Stevenson, Marco Verani
An optimal adaptive Fictitious Domain Method. Math. Comput. 88 (319) (2019)
Paola F. Antonietti, Chiara Facciolà, Alessandro Russo, Marco Verani
Discontinuous Galerkin Approximation of Flows in Fractured Porous Media on Polytopic Grids. SIAM J. Sci. Comput. 41 (1) (2019)
Ivan Fumagalli, Nicola Parolini, Marco Verani
On a free-surface problem with moving contact line: From variational principles to stable numerical approximations. J. Comput. Phys. 355 (2018)
Paola F. Antonietti, Marco Sarti, Marco Verani, Ludmil T. Zikatanov
A Uniform Additive Schwarz Preconditioner for High-Order Discontinuous Galerkin Approximations of Elliptic Problems. J. Sci. Comput. 70 (2) (2017)
Claudio Canuto, Ricardo H. Nochetto, Rob Stevenson, Marco Verani
Convergence and optimality of \({\mathbf {hp}}\) -AFEM. Numerische Mathematik 135 (4) (2017)
Paola F. Antonietti, Matteo Bruggi, Simone Scacchi, Marco Verani
On the virtual element method for topology optimization on polygonal meshes: A numerical study. Comput. Math. Appl. 74 (5) (2017)
Claudio Canuto, Ricardo H. Nochetto, Rob Stevenson, Marco Verani
On p-robust saturation for hp-AFEM. Comput. Math. Appl. 73 (9) (2017)
Claudio Canuto, Ricardo H. Nochetto, Rob Stevenson, Marco Verani
Adaptive Spectral Galerkin Methods with Dynamic Marking. SIAM J. Numer. Anal. 54 (6) (2016)
Paola F. Antonietti, Maurizio Grasselli, Simone Stangalino, Marco Verani
Discontinuous Galerkin Approximation of Linear Parabolic Problems with Dynamic Boundary Conditions. J. Sci. Comput. 66 (3) (2016)
Paola F. Antonietti, Lourenço Beirão da Veiga, Simone Scacchi, Marco Verani
Virtual Element Method for the Cahn-Hilliard Equation with Polygonal Meshes. SIAM J. Numer. Anal. 54 (1) (2016)
Paola F. Antonietti, Marco Verani, Ludmil T. Zikatanov
A two-level method for mimetic finite difference discretizations of elliptic problems. Comput. Math. Appl. 70 (11) (2015)
Paola F. Antonietti, Andreas Dedner, Pravin Madhavan, Simone Stangalino, Björn Stinner, Marco Verani
High Order Discontinuous Galerkin Methods for Elliptic Problems on Surfaces. SIAM J. Numer. Anal. 53 (2) (2015)
Paola F. Antonietti, Marco Sarti, Marco Verani
Multigrid Algorithms for hp-Discontinuous Galerkin Discretizations of Elliptic Problems. SIAM J. Numer. Anal. 53 (1) (2015)
Claudio Canuto, Valeria Simoncini, Marco Verani
Contraction and Optimality Properties of an Adaptive Legendre-Galerkin Method: The Multi-Dimensional Case. J. Sci. Comput. 63 (3) (2015)
Paola F. Antonietti, Lourenço Beirão da Veiga, David Mora, Marco Verani
A Stream Virtual Element Formulation of the Stokes Problem on Polygonal Meshes. SIAM J. Numer. Anal. 52 (1) (2014)
Claudio Canuto, Ricardo H. Nochetto, Marco Verani
Adaptive Fourier-Galerkin methods. Math. Comput. 83 (288) (2014)
Claudio Canuto, Ricardo H. Nochetto, Marco Verani
Contraction and optimality properties of adaptive Legendre-Galerkin methods: The one-dimensional case. Comput. Math. Appl. 67 (4) (2014)
Paola F. Antonietti, Nadia Bigoni, Marco Verani
Mimetic Finite Difference Method for Shape Optimization Problems. ENUMATH (2013)
Paola F. Antonietti, Lourenço Beirão da Veiga, Marco Verani
A mimetic discretization of elliptic obstacle problems. Math. Comput. 82 (283) (2013)
Paola F. Antonietti, Alfio Borzì, Marco Verani
Multigrid Shape Optimization Governed by Elliptic PDEs. SIAM J. Control. Optim. 51 (2) (2013)
Paola F. Antonietti, Lourenço Beirão da Veiga, Carlo Lovadina, Marco Verani
Hierarchical A Posteriori Error Estimators for the Mimetic Discretization of Elliptic Problems. SIAM J. Numer. Anal. 51 (1) (2013)
Paola F. Antonietti, Nadia Bigoni, Marco Verani
Mimetic Discretizations of Elliptic Control Problems. J. Sci. Comput. 56 (1) (2013)
Stefano Berrone, Marco Verani
A new marking strategy for the adaptive finite element approximation of optimal control constrained problems. Optim. Methods Softw. 26 (4-5) (2011)
Riccardo Rosso, Marco Verani
Stabilizing Role of a Curvature Correction to Line Tension. SIAM J. Appl. Math. 69 (2) (2008)
Marco Verani
A wavelet adaptive Newton method for the solution of nonlinear equations. Appl. Math. Lett. 16 (8) (2003)
Silvia Bertoluzza, Marco Verani
Convergence of a nonlinear wavelet algorithm for the solution of PDEs. Appl. Math. Lett. 16 (1) (2003)