A three-level CIP-VEM approach for the Oseen equation
Numerical Analysis
2025-03-11 v2 Numerical Analysis
Abstract
We study a pressure-robust virtual element method for the Oseen problem. In the advection-dominated case, the method is stabilized with a three level jump of the convective term. To analyze the method, we prove specific estimates for the virtual space of potentials. Finally, e prove stability of the proposed method in the advection-dominated limit and derive h-version error estimates for the velocity and the pressure.
Keywords
Cite
@article{arxiv.2503.02721,
title = {A three-level CIP-VEM approach for the Oseen equation},
author = {Manuel Trezzi},
journal= {arXiv preprint arXiv:2503.02721},
year = {2025}
}