Volume 3, Issue 5
The Lower Bounds of Eigenvalues by the Wilson Element in Any Dimension

Youai Li

Adv. Appl. Math. Mech., 3 (2011), pp. 598-610.

Published online: 2011-03

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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

The lower approximation the Wilson element the eigenvalue problem

  • AMS Subject Headings

65N30 65N15 35J25

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COPYRIGHT: © Global Science Press

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@Article{AAMM-3-598, author = {Youai Li}, title = {The Lower Bounds of Eigenvalues by the Wilson Element in Any Dimension}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2011}, volume = {3}, number = {5}, pages = {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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.10-m1046}, url = {http://global-sci.org/intro/article_detail/aamm/185.html} }
TY - JOUR T1 - The Lower Bounds of Eigenvalues by the Wilson Element in Any Dimension AU - Youai Li JO - Advances in Applied Mathematics and Mechanics VL - 5 SP - 598 EP - 610 PY - 2011 DA - 2011/03 SN - 3 DO - http://dor.org/10.4208/aamm.10-m1046 UR - https://global-sci.org/intro/aamm/185.html KW - The lower approximation KW - the Wilson element KW - the eigenvalue problem AB -

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.

Youai Li. (1970). The Lower Bounds of Eigenvalues by the Wilson Element in Any Dimension. Advances in Applied Mathematics and Mechanics. 3 (5). 598-610. doi:10.4208/aamm.10-m1046
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