Stefano Berrone

,

,

Francesca Marcon

Comput. Math. Appl., 2025

Meshfree Variational-Physics-Informed Neural Networks (MF-VPINN): An Adaptive Training Strategy.

[BibT_eX]

[DOI]

,

Algorithms, September, 2024

Improving high-order VEM stability on badly-shaped elements.

[BibT_eX]

[DOI]

,

,

Math. Comput. Simul., February, 2024

A PDE-constrained optimization method for 3D-1D coupled problems with discontinuous solutions.

[BibT_eX]

[DOI]

,

Denise Grappein

,

Numer. Algorithms, January, 2024

The lowest-order Neural Approximated Virtual Element Method on polygonal elements.

[BibT_eX]

[DOI]

,

,

CoRR, 2024

A stabilized three fields formulation for Discrete Fracture Networks.

[BibT_eX]

[DOI]

,

Silvia Bertoluzza

,

CoRR, 2024

3D Adaptive VEM with stabilization-free a posteriori error bounds.

[BibT_eX]

[DOI]

,

Davide Fassino

,

CoRR, 2024

Effective polygonal mesh generation and refinement for VEM.

[BibT_eX]

[DOI]

,

CoRR, 2024

An optimization based 3D-1D coupling strategy for tissue perfusion and chemical transport during tumor-induced angiogenesis.

[BibT_eX]

[DOI]

,

,

,

,

Comput. Math. Appl., December, 2023

A first-order stabilization-free Virtual Element Method.

[BibT_eX]

[DOI]

,

,

,

Appl. Math. Lett., August, 2023

Agglomeration-Based Geometric Multigrid Schemes for the Virtual Element Method.

[BibT_eX]

[DOI]

,

,

,

SIAM J. Numer. Anal., February, 2023

Virtual Element simulation of two-phase flow of immiscible fluids in Discrete Fracture Networks.

[BibT_eX]

[DOI]

,

Martina Busetto

,

J. Comput. Phys., 2023

The lowest-order Neural Approximated Virtual Element Method.

[BibT_eX]

[DOI]

,

,

,

CoRR, 2023

The Mixed Virtual Element Discretization for highly-anisotropic problems: the role of the boundary degrees of freedom.

[BibT_eX]

[DOI]

,

,

CoRR, 2023

Orthogonal polynomial bases in the Mixed Virtual Element Method.

[BibT_eX]

[DOI]

,

,

CoRR, 2023

Improving high order VEM stability on badly-shaped convex elements.

[BibT_eX]

[DOI]

,

,

CoRR, 2023

Variational Physics Informed Neural Networks: the Role of Quadratures and Test Functions.

[BibT_eX]

[DOI]

,

Claudio Canuto

,

J. Sci. Comput., 2022

3D-1D coupling on non conforming meshes via a three-field optimization based domain decomposition.

[BibT_eX]

[DOI]

,

Denise Grappein

,

J. Comput. Phys., 2022

Weak scalability of domain decomposition methods for discrete fracture networks.

[BibT_eX]

[DOI]

,

Tommaso Vanzan

CoRR, 2022

Enforcing Dirichlet boundary conditions in physics-informed neural networks and variational physics-informed neural networks.

[BibT_eX]

[DOI]

,

,

,

CoRR, 2022

Mesh Quality Agglomeration algorithm for the Virtual Element Method applied to Discrete Fracture Networks.

[BibT_eX]

[DOI]

,

,

,

,

,

CoRR, 2022

Solving PDEs by Variational Physics-Informed Neural Networks: an a posteriori error analysis.

[BibT_eX]

[DOI]

,

Claudio Canuto

,

CoRR, 2022

A data-driven approach for the closure of RANS models by the divergence of the Reynolds Stress Tensor.

[BibT_eX]

[DOI]

,

Davide Oberto

CoRR, 2022

Comparison of standard and stabilization free Virtual Elements on anisotropic elliptic problems.

[BibT_eX]

[DOI]

,

,

Francesca Marcon

Appl. Math. Lett., 2022

A Three-field Based Optimization Formulation for Flow Simulations in Networks of Fractures on Nonconforming Meshes.

[BibT_eX]

[DOI]

,

,

,

SIAM J. Sci. Comput., 2021

Layer-wise relevance propagation for backbone identification in discrete fracture networks.

[BibT_eX]

[DOI]

,

Francesco Della Santa

,

Antonio Mastropietro

,

,

Francesco Vaccarino

J. Comput. Sci., 2021

A new quality preserving polygonal mesh refinement algorithm for Virtual Element Methods.

[BibT_eX]

[DOI]

,

Alessandro D'Auria

CoRR, 2021

Efficient partitioning and reordering of conforming virtual element discretizations for large scale Discrete Fracture Network flow parallel solvers.

[BibT_eX]

[DOI]

,

Alice Raeli

CoRR, 2021

A gradient based resolution strategy for a PDE-constrained optimization approach for 3D-1D coupled problems.

[BibT_eX]

[DOI]

,

,

,

CoRR, 2021

Lowest order stabilization free Virtual Element Method for the Poisson equation.

[BibT_eX]

[DOI]

,

,

Francesca Marcon

CoRR, 2021

A Reduced Basis Method for a PDE-constrained optimization formulation in Discrete Fracture Network flow simulations.

[BibT_eX]

[DOI]

,

Comput. Math. Appl., 2021

An optimization approach for flow simulations in poro-fractured media with complex geometries.

[BibT_eX]

[DOI]

,

Alessandro D'Auria

,

Paola Francesca Antonietti

CoRR, 2020

Anisotropic a posteriori error estimate for the Virtual Element Method.

[BibT_eX]

[DOI]

,

,

,

,

,

CoRR, 2020

Parallel Meshing, Discretization, and Computation of Flow in Massive Discrete Fracture Networks.

[BibT_eX]

[DOI]

,

,

SIAM J. Sci. Comput., 2019

An optimal adaptive Fictitious Domain Method.

[BibT_eX]

[DOI]

,

,

,

Math. Comput., 2019

A Three-Field based optimization formulation for flow simulations in networks of fractures on non conforming meshes.

[BibT_eX]

[DOI]

,

,

,

CoRR, 2019

Refinement strategies for polygonal meshes applied to adaptive VEM discretization.

[BibT_eX]

[DOI]

,

,

Alessandro D'Auria

CoRR, 2019

Flow simulations in porous media with immersed intersecting fractures.

[BibT_eX]

[DOI]

,

,

J. Comput. Phys., 2017

A Posteriori Error Estimate for a PDE-Constrained Optimization Formulation for the Flow in DFNs.

[BibT_eX]

[DOI]

,

,

SIAM J. Numer. Anal., 2016

Towards effective flow simulations in realistic discrete fracture networks.

[BibT_eX]

[DOI]

,

,

Matías Fernando Benedetto

J. Comput. Phys., 2016

A hybrid mortar virtual element method for discrete fracture network simulations.

[BibT_eX]

[DOI]

,

,

,

,

J. Comput. Phys., 2016

A Parallel Solver for Large Scale DFN Flow Simulations.

[BibT_eX]

[DOI]

,

,

,

SIAM J. Sci. Comput., 2015

Uncertainty quantification in Discrete Fracture Network models: Stochastic fracture transmissivity.

[BibT_eX]

[DOI]

,

,

,

Comput. Math. Appl., 2015

An optimization approach for large scale simulations of discrete fracture network flows.

[BibT_eX]

[DOI]

,

,

J. Comput. Phys., 2014

A PDE-Constrained Optimization Formulation for Discrete Fracture Network Flows.

[BibT_eX]

[DOI]

,

,

SIAM J. Sci. Comput., 2013

On Simulations of Discrete Fracture Network Flows with an Optimization-Based Extended Finite Element Method.

[BibT_eX]

[DOI]

,

,

SIAM J. Sci. Comput., 2013

Coupling traffic models on networks and urban dispersion models for simulating sustainable mobility strategies.

[BibT_eX]

[DOI]

,

,

,

Comput. Math. Appl., 2012

A new marking strategy for the adaptive finite element approximation of optimal control constrained problems.

[BibT_eX]

[DOI]

,

Marco Verani

Optim. Methods Softw., 2011

A Local-in-Space-Timestep Approach to a Finite Element Discretization of the Heat Equation with a Posteriori Estimates.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2009

Globalization strategies for Newton-Krylov methods for stabilized FEM discretization of Navier-Stokes equations.

[BibT_eX]

[DOI]

Stefania Bellavia

,

J. Comput. Phys., 2007

An Adaptive WEM Algorithm for Solving Elliptic Boundary Value Problems in Fairly General Domains.

[BibT_eX]

[DOI]

,

Tomás Kozubek

SIAM J. Sci. Comput., 2006

Robustness in a posteriori error analysis for FEM flow models.

[BibT_eX]

[DOI]

Numerische Mathematik, 2002

Towards a Realization of a Wavelet Galerkin Method on Non-Trivial Domains.

[BibT_eX]

[DOI]