Lower Bounds for Eigenvalues of the Stokes Operator
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@Article{AAMM-5-1,
author = {Hu , Jun and Huang , Yunqing},
title = {Lower Bounds for Eigenvalues of the Stokes Operator},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2013},
volume = {5},
number = {1},
pages = {1--18},
abstract = {
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.
}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.11-m11103}, url = {http://global-sci.org/intro/article_detail/aamm/54.html} }
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.
Jun Hu & Yunqing Huang. (1970). Lower Bounds for Eigenvalues of the Stokes Operator.
Advances in Applied Mathematics and Mechanics. 5 (1).
1-18.
doi:10.4208/aamm.11-m11103
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