A Multilevel Newton Iteration Method for Eigenvalue Problems
Numerical Analysis
2015-11-13 v1
Abstract
We propose a new type of multilevel method for solving eigenvalue problems based on Newton iteration. With the proposed iteration method, solving eigenvalue problem on the finest finite element space is replaced by solving a small scale eigenvalue problem in a coarse space and solving a series of augmented linear problems, derived by Newton step in the corresponding series of finite element spaces. This iteration scheme improves overall efficiency of the finite element method for solving eigenvalue problems. Finally, some numerical examples are provided to validate the efficiency of the proposed numerical scheme.
Cite
@article{arxiv.1511.03444,
title = {A Multilevel Newton Iteration Method for Eigenvalue Problems},
author = {Yunhui He and Yu Li and Hehu Xie},
journal= {arXiv preprint arXiv:1511.03444},
year = {2015}
}
Comments
22 pages, 8 figures. arXiv admin note: substantial text overlap with arXiv:1401.5378