Marco Verani

Orcid: 0000-0001-8015-4947

According to our database1, Marco Verani authored at least 51 papers between 2003 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
A Virtual Element method for non-Newtonian fluid flows.
CoRR, 2024

Structure-preserving neural networks in data-driven rheological models.
CoRR, 2024

2023
A cVEM-DG space-time method for the dissipative wave equation.
Comput. Math. Appl., December, 2023

Adaptive VEM: Stabilization-Free A Posteriori Error Analysis and Contraction Property.
SIAM J. Numer. Anal., April, 2023

Agglomeration-Based Geometric Multigrid Schemes for the Virtual Element Method.
SIAM J. Numer. Anal., February, 2023

Level set-fitted polytopal meshes with application to structural topology optimization.
CoRR, 2023

Iterative solution to the biharmonic equation in mixed form discretized by the Hybrid High-Order method.
CoRR, 2023

The Rhie-Chow stabilized Box Method for the Stokes problem.
CoRR, 2023

A DG-VEM method for the dissipative wave equation.
CoRR, 2023

Adaptive VEM for variable data: convergence and optimality.
CoRR, 2023

2022
Stability Analysis of Polytopic Discontinuous Galerkin Approximations of the Stokes Problem with Applications to Fluid-Structure Interaction Problems.
J. Sci. Comput., 2022

Virtual Element Method for the Navier-Stokes Equation coupled with the Heat Equation.
CoRR, 2022

Non-isothermal non-Newtonian fluids: the stationary case.
CoRR, 2022

Polytopic discontinuous Galerkin methods for the numerical modelling of flow in porous media with networks of intersecting fractures.
Comput. Math. Appl., 2022

2021
C<sup>1</sup>-VEM for some variants of the Cahn-Hilliard equation: a numerical exploration.
CoRR, 2021

On arbitrarily regular conforming virtual element methods for elliptic partial differential equations.
CoRR, 2021

Adaptive VEM: Stabilization-Free A Posteriori Error Analysis.
CoRR, 2021

A review on arbitrarily regular conforming virtual element methods for elliptic partial differential equations.
CoRR, 2021

The conforming virtual element method for polyharmonic and elastodynamics problems: a review.
CoRR, 2021

SUIHTER: A new mathematical model for COVID-19. Application to the analysis of the second epidemic outbreak in Italy.
CoRR, 2021

A diffuse interface box method for elliptic problems.
Appl. Math. Lett., 2021

2020
Anisotropic a posteriori error estimate for the Virtual Element Method.
CoRR, 2020

The conforming virtual element method for polyharmonic problems.
Comput. Math. Appl., 2020

2019
Discontinuous Galerkin Approximation of Flows in Fractured Porous Media on Polytopic Grids.
SIAM J. Sci. Comput., 2019

An optimal adaptive Fictitious Domain Method.
Math. Comput., 2019

The Virtual Element Method for a Minimal Surface Problem.
CoRR, 2019

The virtual element method for linear elastodynamics models. Design, analysis, and implementation.
CoRR, 2019

2018
On a free-surface problem with moving contact line: From variational principles to stable numerical approximations.
J. Comput. Phys., 2018

2017
Convergence and optimality of \({\mathbf {hp}}\) -AFEM.
Numerische Mathematik, 2017

A Uniform Additive Schwarz Preconditioner for High-Order Discontinuous Galerkin Approximations of Elliptic Problems.
J. Sci. Comput., 2017

On p-robust saturation for hp-AFEM.
Comput. Math. Appl., 2017

On the virtual element method for topology optimization on polygonal meshes: A numerical study.
Comput. Math. Appl., 2017

2016
Adaptive Spectral Galerkin Methods with Dynamic Marking.
SIAM J. Numer. Anal., 2016

A C<sup>1</sup> Virtual Element Method for the Cahn-Hilliard Equation with Polygonal Meshes.
SIAM J. Numer. Anal., 2016

Discontinuous Galerkin Approximation of Linear Parabolic Problems with Dynamic Boundary Conditions.
J. Sci. Comput., 2016

2015
Multigrid Algorithms for hp-Discontinuous Galerkin Discretizations of Elliptic Problems.
SIAM J. Numer. Anal., 2015

High Order Discontinuous Galerkin Methods for Elliptic Problems on Surfaces.
SIAM J. Numer. Anal., 2015

Contraction and Optimality Properties of an Adaptive Legendre-Galerkin Method: The Multi-Dimensional Case.
J. Sci. Comput., 2015

A two-level method for mimetic finite difference discretizations of elliptic problems.
Comput. Math. Appl., 2015

2014
A Stream Virtual Element Formulation of the Stokes Problem on Polygonal Meshes.
SIAM J. Numer. Anal., 2014

Adaptive Fourier-Galerkin methods.
Math. Comput., 2014

Contraction and optimality properties of adaptive Legendre-Galerkin methods: The one-dimensional case.
Comput. Math. Appl., 2014

2013
Hierarchical A Posteriori Error Estimators for the Mimetic Discretization of Elliptic Problems.
SIAM J. Numer. Anal., 2013

Multigrid Shape Optimization Governed by Elliptic PDEs.
SIAM J. Control. Optim., 2013

A mimetic discretization of elliptic obstacle problems.
Math. Comput., 2013

Mimetic Discretizations of Elliptic Control Problems.
J. Sci. Comput., 2013

Mimetic Finite Difference Method for Shape Optimization Problems.
Proceedings of the Numerical Mathematics and Advanced Applications - ENUMATH 2013, 2013

2011
A new marking strategy for the adaptive finite element approximation of optimal control constrained problems.
Optim. Methods Softw., 2011

2008
Stabilizing Role of a Curvature Correction to Line Tension.
SIAM J. Appl. Math., 2008

2003
A wavelet adaptive Newton method for the solution of nonlinear equations.
Appl. Math. Lett., 2003

Convergence of a nonlinear wavelet algorithm for the solution of PDEs.
Appl. Math. Lett., 2003


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