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The Lower Bounds of Eigenvalues by the Wilson Element in Any Dimension

The Lower Bounds of Eigenvalues by the Wilson Element in Any Dimension
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Year:    2011

Author:    Youai Li

Advances in Applied Mathematics and Mechanics, Vol. 3 (2011), Iss. 5 : pp. 598–610

Abstract

In this paper, we analyze the Wilson element method of the eigenvalue problem in arbitrary dimensions by combining a new technique recently developed in [10] and the a posteriori error result. We prove that the discrete eigenvalues are smaller than the exact ones.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.10-m1046

Advances in Applied Mathematics and Mechanics, Vol. 3 (2011), Iss. 5 : pp. 598–610

Published online:    2011-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    13

Keywords:    The lower approximation the Wilson element the eigenvalue problem.

Author Details

Youai Li

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