4 citations · 6 across the 9 of their papers we have counts for
9 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…
The low-rank tensor-train finite difference method for three-dimensional parabolic equations
Gianmarco Manzini, Tommaso Sorgente
This paper presents a numerical framework for the low-rank approximation of the solution to three-dimensional parabolic problems. The key contribution of this work is the tensoriza…
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…
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…
Polyhedron Kernel Computation Using a Geometric Approach
Tommaso Sorgente, Silvia Biasotti, Michela Spagnuolo
The geometric kernel (or simply the kernel) of a polyhedron is the set of points from which the whole polyhedron is visible. Whilst the computation of the kernel for a polygon has…
Polyhedral Mesh Quality Indicator for the Virtual Element Method
Tommaso Sorgente, Silvia Biasotti, Gianmarco Manzini +1
We present the design of a mesh quality indicator that can predict the behavior of the Virtual Element Method (VEM) on a given mesh family or finite sequence of polyhedral meshes (…
A Geometric Approach for Computing the Kernel of a Polyhedron
Tommaso Sorgente, Silvia Biasotti, Michela Spagnuolo
We present a geometric algorithm to compute the geometric kernel of a generic polyhedron. The geometric kernel (or simply kernel) is definedas the set of points from which the whol…
VEM and the Mesh
Tommaso Sorgente, Daniele Prada, Daniela Cabiddu +6
In this work we report some results, obtained within the framework of the ERC Project CHANGE, on the impact on the performance of the virtual element method of the shape of the pol…
The role of mesh quality and mesh quality indicators in the Virtual Element Method
Tommaso Sorgente, Silvia Biasotti, Gianmarco Manzini +1
Since its introduction, the Virtual Element Method (VEM) was shown to be able to deal with a large variety of polygons, while achieving good convergence rates. The regularity assum…