VEM and the Mesh

2 Mar 2021 · Tommaso Sorgente, Daniele Prada, Daniela Cabiddu, Silvia Biasotti, Giuseppe Patane, Micol Pennacchio, Silvia Bertoluzza, Gianmarco Manzini, Michela Spagnuolo ·

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) an analysis 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.

PDF Abstract

Code

Add Remove Mark official

No code implementations yet. Submit your code now

Edit Social Preview

VEM and the Mesh

Code Edit Add Remove Mark official

Categories

Code

Add Remove Mark official