@Article{AAMM-11-1,
author = {Youai, Li},
title = {Lower Bounds of Eigenvalues of the Stokes  Operator  by Nonconforming Finite Elements on Local Quasi-Uniform Grids},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2019},
volume = {11},
number = {1},
pages = {241--254},
abstract = {<p style="text-align: justify;">This paper is a generalization of some recent results concerned with the lower bound property of eigenvalues produced by both the enriched rotated $Q_1$ and Crouzeix-Raviart elements of the Stokes eigenvalue problem. The main ingredient is a novel and sharp $L^2$ error estimate of discrete eigenfunctions, and a new error analysis of nonconforming finite element methods.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2018-0061},
url = {https://global-sci.com/article/73115/lower-bounds-of-eigenvalues-of-the-stokes-operator-by-nonconforming-finite-elements-on-local-quasi-uniform-grids}
}