TY - JOUR
T1 - The Shifted-Inverse Power Weak Galerkin Method for Eigenvalue Problems
AU - Zhai , Qilong
AU - Hu , Xiaozhe
AU - Zhang , Ran
JO - Journal of Computational Mathematics
VL - 4
SP - 606
EP - 623
PY - 2020
DA - 2020/04
SN - 38
DO - http://doi.org/10.4208/jcm.1903-m2018-0101
UR - https://global-sci.org/intro/article_detail/jcm/16465.html
KW - weak Galerkin finite element method, eigenvalue problem, shifted-inverse power method, lower bound.
AB - <p style="text-align: justify;">This paper proposes and analyzes a new weak Galerkin method for the eigenvalue
problem by using the shifted-inverse power technique. A high order lower bound can
be obtained at a relatively low cost via the proposed method. The error estimates for
both eigenvalue and eigenfunction are provided and asymptotic lower bounds are shown as
well under some conditions. Numerical examples are presented to validate the theoretical
analysis.</p>