Sharper error estimates for Virtual Elements and a bubble-enriched version
Numerical Analysis
2020-05-26 v1 Numerical Analysis
Abstract
In the present contribution we develop a sharper error analysis for the Virtual Element Method, applied to a model elliptic problem, that separates the element boundary and element interior contributions to the error. As a consequence we are able to propose a variant of the scheme that allows to take advantage of polygons with many edges (such as those composing Voronoi meshes or generated by agglomeration procedures) in order to yield a more accurate discrete solution. The theoretical results are supported by numerical experiments.
Cite
@article{arxiv.2005.12009,
title = {Sharper error estimates for Virtual Elements and a bubble-enriched version},
author = {L. Beirao da Veiga and G. Vacca},
journal= {arXiv preprint arXiv:2005.12009},
year = {2020}
}
Comments
22 pages, 6 figures