6 papers
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…
General Order Virtual Element Approximation for the Smagorinsky turbulence model
Stefano Berrone, Karol L. Cascavita, Enrique Delgado Ãvila +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…
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…
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…
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…
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…