In this paper, we rewrite the Stokes eigenvalue problem as an Elliptic eigenvalue problem restricted to subspace, and introduce an abstract framework of solving abstract elliptic eigenvalue problem to give the WG scheme, error estimates and asymptotic lower bounds. Besides, we introduce a new stabilizer and several inequalities to prove GLB properties. Some numerical examples are provided to validate our theoretical analysis.

翻译：本文将Stokes特征值问题重新表述为限制在子空间上的椭圆型特征值问题，并引入求解抽象椭圆特征值问题的抽象框架，由此给出弱伽辽金（WG）格式、误差估计及渐近下界。此外，我们引入了一种新的稳定性器及若干不等式来证明GLB性质。文中提供了数值算例以验证理论分析的有效性。