In two and three dimensions, we design and analyze a posteriori error estimators for the mixed Stokes eigenvalue problem. The unknowns on this mixed formulation are the pseudotress, velocity and pressure. With a lowest order mixed finite element scheme, together with a postprocressing technique, we prove that the proposed estimator is reliable and efficient. We illustrate the results with several numerical tests in two and three dimensions in order to assess the performance of the estimator.

翻译：在二维和三维空间中，我们针对混合斯托克斯特征值问题设计并分析了后验误差估计器。该混合形式中的未知量包括伪应力、速度和压力。采用最低阶混合有限元格式，并结合后处理技术，我们证明了所提出的估计器是可靠且有效的。通过二维和三维空间中的多个数值测试，我们展示了该估计器的性能表现。