A Conforming virtual element approximation for the Oseen eigenvalue problem
<|reference_start|>A Conforming virtual element approximation for the Oseen eigenvalue problem: 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.<|reference_end|>
@article{amigo2024a,
    title={A Conforming virtual element approximation for the Oseen eigenvalue
  problem},
    author={Danilo Amigo, Felipe Lepe, Nitesh Verma},
    journal={arXiv preprint arXiv:2405.13657},
    year={2024},
    archivePrefix={arXiv},
    eprint={2405.13657},
    primaryClass={math.NA cs.NA}
}