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 polygonal elements of the underlying mesh. More in detail, after reviewing the state of the art, we present (a) an experimental analysis of the convergence of the VEM under condition violating the standard shape regularity assumptions,(b) ananalysis of the correlation between some mesh quality metrics and a set of different performance indexes, and (c) a suitably designed mesh quality indicator, aimed at predicting the quality of the performance of the VEM on a given mesh.
VEM and the Mesh
Tommaso Sorgente;Daniele Prada;Daniela Cabiddu;Micol Pennacchio;Silvia Bertoluzza;Gianmarco Manzini;Michela Spagnuolo
2022
Abstract
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 polygonal elements of the underlying mesh. More in detail, after reviewing the state of the art, we present (a) an experimental analysis of the convergence of the VEM under condition violating the standard shape regularity assumptions,(b) ananalysis of the correlation between some mesh quality metrics and a set of different performance indexes, and (c) a suitably designed mesh quality indicator, aimed at predicting the quality of the performance of the VEM on a given mesh.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
