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.
Li , Youai. (2011). 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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