The Shifted-inverse Power Weak Galerkin Method for Eigenvalue Problems
Numerical Analysis
2018-03-28 v1
Abstract
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.
Cite
@article{arxiv.1803.09192,
title = {The Shifted-inverse Power Weak Galerkin Method for Eigenvalue Problems},
author = {Qilong Zhai and Xiaozhe Hu and Ran Zhang},
journal= {arXiv preprint arXiv:1803.09192},
year = {2018}
}
Comments
19 pages, 3 tables