A Conforming virtual element approximation for the Oseen eigenvalue problem
Numerical Analysis
2024-05-24 v1 Numerical Analysis
Abstract
In this paper we analyze a conforming virtual element method to approximate the eigenfunctions and eigenvalues of the two dimensional Oseen eigenvalue problem. We consider the classic velocity-pressure formulation which allows us to consider the divergence-conforming virtual element spaces employed for the Stokes equations. Under standard assumptions on the meshes we derive a priori error estimates for the proposed method with the aid of the compact operators theory. We report some numerical tests to confirm the theoretical results.
Cite
@article{arxiv.2405.13657,
title = {A Conforming virtual element approximation for the Oseen eigenvalue problem},
author = {Danilo Amigo and Felipe Lepe and Nitesh Verma},
journal= {arXiv preprint arXiv:2405.13657},
year = {2024}
}