Nonconforming virtual element method for general second-order elliptic problems on curved domain
Numerical Analysis
2024-10-25 v1 Numerical Analysis
Abstract
This paper introduces a nonconforming virtual element method for general second-order elliptic problems with variable coefficients on domains with curved boundaries and curved internal interfaces. We prove arbitrary order optimal convergence in the energy and norms, confirmed by numerical experiments on a set of polygonal meshes. The accuracy of the numerical approximation provided by the method is shown to be comparable with the theoretical analysis.
Cite
@article{arxiv.2410.18526,
title = {Nonconforming virtual element method for general second-order elliptic problems on curved domain},
author = {Yi Liu and Alessandro Russo},
journal= {arXiv preprint arXiv:2410.18526},
year = {2024}
}