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.

翻译：本文分析了一种协调虚拟元方法，用于逼近二维Oseen特征值问题的特征函数与特征值。我们采用经典的速度-压力变分形式，这使得我们可以沿用Stokes方程中使用的散度协调虚拟元空间。在网格的标准假设下，借助紧算子理论推导了该方法的先验误差估计。我们通过若干数值实验验证了理论结果。