The nonconforming virtual element method with curved edges
Numerical Analysis
2023-03-28 v1 Numerical Analysis
Abstract
We introduce a nonconforming virtual element method for the Poisson equation on domains with curved boundary and internal interfaces. We prove arbitrary order optimal convergence in the energy and norms, and validate the theoretical results with numerical experiments. Compared to existing nodal virtual elements on curved domains, the proposed scheme has the advantage that it can be designed in any dimension.
Cite
@article{arxiv.2303.15204,
title = {The nonconforming virtual element method with curved edges},
author = {Lourenco Beirão Da Veiga and Yi Liu and Lorenzo Mascotto and Alessandro Russo},
journal= {arXiv preprint arXiv:2303.15204},
year = {2023}
}
Comments
29 pages, 11 figures