Comparison of standard and stabilization free Virtual Elements on anisotropic elliptic problems
Numerical Analysis
2022-02-18 v1 Numerical Analysis
Abstract
In this letter we compare the behaviour of standard Virtual Element Methods (VEM) and stabilization free Enlarged Enhancement Virtual Element Methods (EVEM) with the focus on some elliptic test problems whose solution and diffusivity tensor are characterized by anisotropies. Results show that the possibility to avoid an arbitrary stabilizing part, offered by EVEM methods, can reduce the magnitude of the error on general polygonal meshes and help convergence.
Keywords
Cite
@article{arxiv.2202.08571,
title = {Comparison of standard and stabilization free Virtual Elements on anisotropic elliptic problems},
author = {Stefano Berrone and Andrea Borio and Francesca Marcon},
journal= {arXiv preprint arXiv:2202.08571},
year = {2022}
}