Marco Verani

Associate Professor in Numerical Analysis MOX-Dipartimento di Matematica, Politecnico di Milano

Contact Information

Phone:
+39 02 2399 4610
Fax:
+39 02 2399 4606
Office:
Ed. 14 - Nave
Email:
Personal web page:

Keywords

Advanced Numerical Methods for Scientific Computing
Computational learning
Epidemiological Modeling
SC4I/Digitization, Innovation, and Competitiveness of the Production System
Societal Outreach

Publications

 

Available MOX Reports

Grasselli, M.; Parolini, N.; Poiatti, A.; Verani, M.
Non-isothermal non-Newtonian fluids: the stationary case

Aspri, A; Beretta, E.; Cavaterra, C.; Rocca, E.; Verani, M.
Identification of cavities and inclusions in linear elasticity with a phase-field approach

Antonietti, P.F.; Scacchi, S.; Vacca, G.; Verani, M.
$C^1$-VEM for some variants of the Cahn-Hilliard equation: a numerical exploration

Antonietti, P.F.; Berrone, S.; Busetto, M.; Verani, M.
Agglomeration-based geometric multigrid schemes for the Virtual Element Method

Antonietti, P.F.; Manzini, G.; Scacchi, S.; Verani, M.
On arbitrarily regular conforming virtual element methods for elliptic partial differential equations

Beirao da Veiga, L.; Canuto, C.; Nochetto, R.H.; Vacca, G.; Verani, M.
Adaptive VEM: Stabilization-Free A Posteriori Error Analysis

Parolini, N.; Dede', L; Antonietti, P. F.; Ardenghi, G.; Manzoni, A.; Miglio, E.; Pugliese, A.; Verani, M.; Quarteroni, A.
SUIHTER: A new mathematical model for COVID-19. Application to the analysis of the second epidemic outbreak in Italy

Antonietti,P.F.; Manzini, G.; Mazzieri, I.; Scacchi, S.; Verani, M.
The conforming virtual element method for polyharmonic and elastodynamics problems: a review

Negrini, G.; Parolini, N.; Verani, M.
A diffuse interface box method for elliptic problems

Antonietti, P. F.; Mascotto, L.; Verani, M.; Zonca, S.
Stability analysis of polytopic Discontinuous Galerkin approximations of the Stokes problem with applications to fluid-structure interaction problems

Miglio, E.; Parolini, N.; Quarteroni, A.; Verani, M.; Zonca, S.
A spatio-temporal model with multi-city mobility for COVID-19 epidemic

Antonietti, P.F.; Facciola', C.; Houston, P.; Mazzieri, I.; Pennes, G.; Verani, M.
High-order discontinuous Galerkin methods on polyhedral grids for geophysical applications: seismic wave propagation and fractured reservoir simulations

Antonietti, P. F.; Facciolà, C.; Verani, M.
Polytopic Discontinuous Galerkin methods for the numerical modelling of flow in porous media with networks of intersecting fractures

Artioli, E.; Beiraoda Veiga, L.; Verani, M.
An adaptive curved virtual element method for the statistical homogenization of random fibre-reinforced composites

Antonietti, P.F; Manzini, G.; Mourad, H.M.; Verani, M.
The virtual element method for linear elastodynamics models. Design, analysis, and implementation

Antonietti, P.F.; Bertoluzza, S.; Prada, D.; Verani M.
The Virtual Element Method for a Minimal Surface Problem

Antonietti, P.F.; Berrone, S.; Borio A.; D'Auria A.; Verani, M.; Weisser, S.
Anisotropic a posteriori error estimate for the Virtual Element Method

Antonietti, P.F.; Facciolà, C; Verani, M.
Mixed-primal Discontinuous Galerkin approximation of flows in fractured porous media on polygonal and polyhedral grids

Antonietti, P.F.; Facciola', C.; Verani, M.
Unified analysis of Discontinuous Galerkin approximations of flows in fractured porous media on polygonal and polyhedral grids

Ratti, L.; Verani, M.
A posteriori error estimates for the monodomain model in cardiac electrophysiology

Antonietti, P.F.; Manzini, G.; Verani, M.
The conforming virtual element method for polyharmonic problems

Antonietti, P.F.; Verani, M.; Vergara, C.; Zonca, S.
Numerical solution of fluid-structure interaction problems by means of a high order Discontinuous Galerkin method on polygonal grids

Berrone, S.; Bonito, A.; Stevenson, R.; Verani, M.
An optimal adaptive Fictitious Domain Method

Canuto, C.; Nochetto, R. H.; Stevenson, R.; Verani, M.
A saturation property for the spectral-Galerkin approximation of a Dirichlet problem in a square

Tamellini, M.; Parolini, N.; Verani, M.
An optimal control problem of two-phase compressible-incompressible flows

Regazzoni, F.;Parolini, N.;Verani M.
Topology optimization of multiple anisotropic materials, with application to self-assembling diblock copolymers

Fumagalli, I.; Parolini, N.; Verani, M.
Optimal control in ink-jet printing via instantaneous control

Beretta, E.; Ratti, L.; Verani, M.
A phase-field approach for the interface reconstruction in a nonlinear elliptic problem arising from cardiac electrophysiology

Antonietti, P.F.; Mascotto, L.; Verani, M.
A multigrid algorithm for the $p$--version of the Virtual Element Method

Bruggi, M.; Parolini, N.; Regazzoni, F.; Verani, M.
Finite Element approximation of an evolutionary Topology Optimization problem

Fumagalli, I.; Parolini, N.; Verani, M.
On a free-surface problem with moving contact line: from variational principles to stable numerical approximations

Antonietti, P. F.; Bruggi, M. ; Scacchi, S.; Verani, M.
On the Virtual Element Method for Topology Optimization on polygonal meshes: a numerical study

Antonietti, P. F.; Facciola' C.; Russo A.; Verani M.;
Discontinuous Galerkin approximation of flows in fractured porous media on polytopic grids

Antonietti, P. F.; Manzini, G.; Verani, M.
The fully nonconforming Virtual Element method for biharmonic problems

Canuto, C.; Nochetto, R. H.; Stevenson R.; Verani, M.
On p-Robust Saturation for hp-AFEM

Andrà, C.; Brunetto, D.; Parolini, N.; Verani, M.
Student interactions during class activities: a mathematical model

Antonietti, P.F.; Merlet, B.; Morgan, P.; Verani, M.
Convergence to equilibrium for a second-order time semi-discretization of the Cahn-Hilliard equation

Repossi, E.; Rosso, R.; Verani, M.
A phase-field model for liquid-gas mixtures: mathematical modelling and Discontinuous Galerkin discretization

Antonietti, P.F.; Facciola', C.; Russo, A.;Verani, M.
Discontinuous Galerkin approximation of flows in fractured porous media

Agosti, A.; Antonietti, P.F.; Ciarletta, P.; Grasselli, M.; Verani, M.
A Cahn-Hilliard type equation with degenerate mobility and single-well potential. Part I: convergence analysis of a continuous Galerkin finite element discretization.

Canuto, C.; Nochetto, R. H.; Stevenson, R.; Verani, M.
Adaptive Spectral Galerkin Methods with Dynamic Marking

Giverso, C.; Verani, M.; Ciarletta P.
Emerging morphologies in round bacterial colonies: comparing volumetric versus chemotactic expansion

Antonietti, P.F.; Formaggia, L.; Scotti, A.; Verani, M.; Verzotti, N.
Mimetic finite difference approximation of flows in fractured porous media

Fumagalli, I.; Manzoni, A.; Parolini, N.; Verani, M.
Reduced basis approximation and a posteriori error estimates for parametrized elliptic eigenvalue problems

Canuto, C.; Nochetto, R.H.; Stevenson R,; Verani, M.
Convergence and Optimality of hp-AFEM

Antonietti, P. F.; Beirao da Veiga, L.; Scacchi, S.; Verani, M.
A $C^1$ virtual element method for the Cahn-Hilliard equation with polygonal meshes

Antonietti, P. F.; Grasselli, M.; Stangalino, S.; Verani, M.
Discontinuous Galerkin approximation of linear parabolic problems with dynamic boundary conditions

Andrà, C.; Parolini, N.; Verani, M.
Using gambling simulators to foster awareness about gambling risks

Giverso, C.; Verani, M.; Ciarletta P.;
Branching instability in expanding bacterial colonies

Antonietti, P. F.; Houston P.; Sarti, M.; Verani, M.
Multigrid algorithms for hp-version Interior Penalty Discontinuous Galerkin methods on polygonal and polyhedral meshes

Antonietti, P. F.; Sarti, M.; Verani, M.; Zikatanov, L. T.
A uniform additive Schwarz preconditioner for the hp-version of Discontinuous Galerkin approximations of elliptic problems

Canuto, C.; Simoncini, V.; Verani, M.
Contraction and optimality properties of an adaptive Legendre-Galerkin method: the multi-dimensional case

Antonietti, P; Panfili, P.; Scotti, A.; Turconi, L. ; Verani, M.; Cominelli,A.; Formaggia,L.
Optimal techniques to simulate flow in fractured reservoirs

Fumagalli, I; Parolini, N.; Verani, M.
Shape optimization for Stokes flow: a reference domain approach

Antonietti, P.F.; Dedner, A.; Madhavan, P.; Stangalino, S.; Stinner, B.; Verani, M.
High order discontinuous Galerkin methods on surfaces

Antonietti, P.F.; Sarti, M.; Verani, M.
Multigrid algorithms for high order discontinuous Galerkin methods

Canuto, C.; Simoncini, V.; Verani, M.
On the decay of the inverse of matrices that are sum of Kronecker products

Antonietti, P.F.; Sarti, M.; Verani, M.
Multigrid algorithms for hp-Discontinuous Galerkin discretizations of elliptic problems

Antonietti, P.F.; Verani, M.; Zikatanov, L.
A two-level method for Mimetic Finite Difference discretizations of elliptic problems

Tavakoli, A.; Antonietti, P.F.; Verani, M.
Automatic computation of the impermeability of woven fabrics through image processing

Falcone, M.; Verani, M.
Recent Results in Shape Optimization and Optimal Control for PDEs

Antonietti, P.F.; Beirao da Veiga, L.; Bigoni, N.; Verani, M.
Mimetic finite differences for nonlinear and control problems

Antonietti, P.F.; Beirao da Veiga, L.; Mora, D.; Verani, M.
A stream virtual element formulation of the Stokes problem on polygonal meshes

Antonietti, P.F.; Bigoni, N.; Verani, M.
Mimetic finite difference approximation of quasilinear elliptic problems

Canuto, C.; Verani, M.
On the Numerical Analysis of Adaptive Spectral/hp Methods for Elliptic Problems

Canuto, C.; Nochetto, R.H.; Verani, M.
Contraction and optimality properties of adaptive Legendre-Galerkin methods: the 1-dimensional case

Antonietti, P.F.; Borzì, A.; Verani, M.
Multigrid shape optimization governed by elliptic PDEs

Canuto, C.; Nochetto, R. H.; Verani, M.
Adaptive Fourier-Galerkin Methods

Antonietti, P.F.; Beirao da Veiga, L.; Lovadina, C.; Verani, M.
Hierarchical a posteriori error estimators for the mimetic discretization of elliptic problems

Morin, P.; Nochetto, R.H.; Pauletti, S.; Verani, M.
AFEM for Shape Optimization

Antonietti, P.F.; Bigoni, N.; Verani, M.
A Mimetic Discretization of Elliptic Control Problems

Bruggi, Matteo; Verani, Marco
An adaptive algorithm for topology optimization with goal-oriented error control

Antonietti, P.F.; Fadel, N.A.; Verani, M.
Modelling and numerical simulation of the polymeric extrusion process in textile products

Antonietti, Paola F. ; Beirao da Veiga, Lourenco; Verani, Marco
A Mimetic Discretization of Elliptic Obstacle Problems

Antonietti, Paola F.; Biscari, Paolo; Tavakoli, Alaleh; Verani, Marco; Vianello, Maurizio
Theoretical study and numerical simulation of textiles

Beirao da Veiga, Lourenco; Verani, Marco
A posteriori boundary control for FEM approximation of elliptic eigenvalue problems

Berrone, Stefano; Verani, Marco
An Adaptive Gradient-DWR Finite Element Algorithm for an Optimal Control Constrained Problem

Rosso, Riccardo: Verani, Marco
Stabilizing rôle of a curvature correction to line tension

Nochetto, Ricardo H.; Veeser, Andreas; Verani, Marco
A safeguarded dual weighted residual method

Dogan, G.; Morin, P.; Nochetto, R.H., Verani, Marco
Finite Element Methods for Shape Optimization and Applications

Micheletti, Stefano; Perotto, Simona; Verani, Marco
An Adaptive Uzawa Algorithm for Output Functionals Control