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A stabilized finite element method is considered for the Stokes eigenvalue problem based on the lowest equal-order element pair, which does not need to choose stabilization parameter. Stabilization terms of the stabilized finite element method include not only the term related to the momentum equation but also the continuity equation. Furthermore, combined the approximation of compact operator with the analysis of Stokes source problem, error estimates of the present method are deduced. Finally, numerical tests are made to confirm effectively.
Yuan et al. (Mon,) studied this question.
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