Interior estimates for the Virtual Element Method
Numerical Analysis
2023-03-21 v2 Numerical Analysis
Abstract
We analyze the local accuracy of the virtual element method. More precisely, we prove an error bound similar to the one holding for the finite element method, namely, that the local error in a interior subdomain is bounded by a term behaving like the best approximation allowed by the local smoothness of the solution in a larger interior subdomain plus the global error measured in a negative norm.
Cite
@article{arxiv.2204.09955,
title = {Interior estimates for the Virtual Element Method},
author = {Silvia Bertoluzza and Micol Pennacchio and Daniele Prada},
journal= {arXiv preprint arXiv:2204.09955},
year = {2023}
}