TY - JOUR T1 - Lower Bounds for Eigenvalues of the Stokes Operator AU - Hu , Jun AU - Huang , Yunqing JO - Advances in Applied Mathematics and Mechanics VL - 1 SP - 1 EP - 18 PY - 2013 DA - 2013/05 SN - 5 DO - http://doi.org/10.4208/aamm.11-m11103 UR - https://global-sci.org/intro/article_detail/aamm/54.html KW - Lower bound, eigenvalue, Stokes operator. AB -

In this paper, we propose a condition that can guarantee the lower bound property of the discrete eigenvalue produced by the finite element method for the Stokes operator. We check and prove this condition for four nonconforming methods and one conforming method. Hence they produce eigenvalues which are smaller than their exact counterparts.