20 citations · 31 across the 13 of their papers we have counts for
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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…
A Graphical Framework to Study the Correlation between Geometric Design and Simulation
Daniela Cabiddu, Giuseppe Patanè, Michela Spagnuolo
Partial differential equations can be solved on general polygonal and polyhedral meshes, through Polytopal Element Methods (PEMs). Unfortunately, the relation between geometry and…