The Lower Bounds of Eigenvalues by the Wilson Element in Any Dimension
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@Article{AAMM-3-598,
author = {Li , Youai},
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 - Li , Youai
JO - Advances in Applied Mathematics and Mechanics
VL - 5
SP - 598
EP - 610
PY - 2011
DA - 2011/03
SN - 3
DO - http://doi.org/10.4208/aamm.10-m1046
UR - https://global-sci.org/intro/article_detail/aamm/185.html
KW - The lower approximation, the Wilson element, 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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