In this paper we discuss the optimal convergence of a standard adaptive scheme based on mixed finite element approximation to the solution of the eigenvalue problem associated with the Stokes equations. The proofs of the quasi-orthogonality and the discrete reliability are presented. Our numerical experiments confirm the efficacy of the proposed adaptive scheme.

翻译：摘要：本文讨论了基于混合有限元逼近的Stokes方程特征值问题标准自适应方案的最优收敛性。我们给出了拟正交性和离散可靠性的证明。数值实验结果验证了所提自适应方案的有效性。