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 - <p style="text-align: justify;">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.</p>