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 - <p style="text-align: justify;">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.</p>