6 citations · 19 across the 12 of their papers we have counts for
15 papers
A Fictitious Domain Formulation with Bubble Enrichment
Stefano Berrone, Lorenzo Neva, Stefano Scialò +1
The fictitious domain method offers a powerful alternative to circumvent complex mesh generation process by embedding the complex physical domain into a simpler, non-matching backg…
PolyChopper: a Polyhedron Splitting Scheme
Tommaso Sorgente, Fabio Vicini
We introduce and implement a novel scheme, called \textit{PolyChopper}, for splitting a convex polyhedron into a finite set of disjoint convex sub-polyhedra. The algorithm cuts the…
The Zipped Finite Element Method: High-order Shape Functions for Polygons
Stefano Berrone, Lorenzo Neva, Moreno Pintore +2
In this paper, we present a new polygonal finite element method, called the Zipped Finite Element Method, for star-shaped polygons. The proposed approach constructs high-order shap…
General Order Virtual Element Approximation for the Smagorinsky turbulence model
Stefano Berrone, Karol L. Cascavita, Enrique Delgado Ávila +3
In this paper, we investigate a Smagorinsky model in a virtual element framework to simulate convection-dominated Navier-Stokes equations. We conduct a two-dimensional numerical in…
POLYDIM: A C++ library for POLYtopal DIscretization Methods
Stefano Berrone, Andrea Borio, Gioana Teora +1
This paper introduces PolyDiM, an open-source C++ library tailored for the development and implementation of polytopal discretization methods for partial differential equations. Th…
3D-1D modelling of cranial mesh heating induced by low or medium frequency magnetic fields
Alessandro Arduino, Oriano Bottauscio, Denise Grappein +4
Safety assessment of patients with one-dimensionally structured passive implants, like cranial meshes or stents, exposed to low or medium frequency magnetic fields, like those gene…
A 3D-1D Virtual Element Method for Modeling Root Water Uptake
Stefano Berrone, Stefano Ferraris, Denise Grappein +2
An optimization-based strategy is proposed for coupling three-dimensional and one-dimensional problems (3D-1D coupling) in the context of soil-root interaction simulations. This st…
3D Adaptive VEM with stabilization-free a posteriori error bounds
Stefano Berrone, Davide Fassino, Fabio Vicini
The present paper extends the theory of Adaptive Virtual Element Methods (AVEMs) to the three-dimensional meshes showing the possibility to bound the stabilization term by the resi…
Mesh Optimization for the Virtual Element Method: How Small Can an Agglomerated Mesh Become?
Tommaso Sorgente, Stefano Berrone, Silvia Biasotti +3
We present an optimization procedure for generic polygonal or polyhedral meshes, tailored for the Virtual Element Method (VEM). Once the local quality of the mesh elements is analy…
Effective polygonal mesh generation and refinement for VEM
Stefano Berrone, Fabio Vicini
In the present work we introduce a novel refinement algorithm for two-dimensional elliptic partial differential equations discretized with Virtual Element Method (VEM). The algorit…
Improving high-order VEM stability on badly-shaped elements
Stefano Berrone, Gioana Teora, Fabio Vicini
For the 2D and 3D Virtual Element Methods (VEM), a new approach to improve the conditioning of local and global matrices in the presence of badly-shaped polytopes is proposed. It d…
POD-based reduced order methods for optimal control problems governed by parametric partial differential equation with varying boundary control
Maria Strazzullo, Fabio Vicini
In this work we propose tailored model order reduction for varying boundary optimal control problems governed by parametric partial differential equations. With varying boundary co…
Mesh Quality Agglomeration algorithm for the Virtual Element Method applied to Discrete Fracture Networks
Tommaso Sorgente, Fabio Vicini, Stefano Berrone +3
We propose a quality-based optimization strategy to reduce the total number of degrees of freedom associated to a discrete problem defined over a polygonal tessellation with the Vi…
Extended Finite Elements for 3D-1D coupled problems via a PDE-constrained optimization approach
Denise Grappein, Stefano Scialó, Fabio Vicini
In this work, we propose the application of the eXtended Finite Element Method (XFEM) in the context of the coupling between three-dimensional and one-dimensional elliptic problems…
A gradient based resolution strategy for a PDE-constrained optimization approach for 3D-1D coupled problems
Stefano Berrone, Denise Grappein, Stefano Scialò +1
Coupled 3D-1D problems arise in many practical applications, in an attempt to reduce the computational burden in simulations where cylindrical inclusions with a small section are e…