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

Published online by Cambridge University Press:  03 June 2015

Youai Li
Youai Li*
Affiliation:
College of Computer and Information Engineering, Beijing Technology and Business University, Beijing 10080, China
*
*Corresponding author. Email: liya@th.btbu.edu.cn
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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.

Keywords

65N3065N1535J25The lower approximationthe Wilson elementthe eigenvalue problem
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 3 , Issue 5 , October 2011 , pp. 598 - 610
Copyright
Copyright © Global-Science Press 2011

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