VEM and the Mesh
Numerical Analysis
2021-03-05 v2 Numerical Analysis
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) 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.
Keywords
Cite
@article{arxiv.2103.01614,
title = {VEM and the Mesh},
author = {Tommaso Sorgente and Daniele Prada and Daniela Cabiddu and Silvia Biasotti and Giuseppe Patane and Micol Pennacchio and Silvia Bertoluzza and Gianmarco Manzini and Michela Spagnuolo},
journal= {arXiv preprint arXiv:2103.01614},
year = {2021}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2102.04138