Abstract
In this article, the P2−P2-stabilized finite element method based on two local Gaussian quadratures is applied to discretize the Stokes eigenvalue problem, and the corresponding convergence analysis is given. Furthermore, a two-level scheme, which solves the Stokes eigenvalue problem on a coarser grid and a Stokes problem on the fine grid, is employed to reduce the computational cost. Numerical examples are given to confirm the theoretical results.
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