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Lower Bounds for Eigenvalues of the Stokes Operator

Lower Bounds for Eigenvalues of the Stokes Operator
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Year:    2013

Author:    Jun Hu, Yunqing Huang

Advances in Applied Mathematics and Mechanics, Vol. 5 (2013), Iss. 1 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.11-m11103

Advances in Applied Mathematics and Mechanics, Vol. 5 (2013), Iss. 1 : pp. 1–18

Published online:    2013-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    18

Keywords:    Lower bound eigenvalue Stokes operator.

Author Details

Jun Hu

Yunqing Huang

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