Volume 5, Issue 1
Lower Bounds for Eigenvalues of the Stokes Operator

Jun Hu & Yunqing Huang

Adv. Appl. Math. Mech., 5 (2013), pp. 1-18.

Published online: 2013-05

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  • 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.

  • Keywords

Lower bound, eigenvalue, Stokes operator.

  • AMS Subject Headings

65N30, 65N15, 35J25

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-5-1, author = {Jun Hu , 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 - Jun Hu , 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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