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Lower Bounds for Eigenvalues of the Stokes Operator

Published online by Cambridge University Press:  03 June 2015

Jun Hu  and
Yunqing Huang
Jun Hu*
Affiliation:
LMAM and School of Mathematical Sciences, Peking University, Beijing 100871, China
Yunqing Huang*
Affiliation:
Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Xiangtan 411105, China
*
Corresponding author. URL: http://math.xtu.edu.cn/myphp/math/personal/huangyq/, Email: hujun@math.pku.edu.cn
Email: huangyq@xtu.edu.cn
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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

65N3065N1535J25Lower boundeigenvalueStokes operator
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 5 , Issue 1 , February 2013 , pp. 1 - 18
Copyright
Copyright © Global-Science Press 2013

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