An adaptive algorithm based on the shifted inverse iteration for the Steklov eigenvalue problem
Numerical Analysis
2016-01-08 v1
Abstract
This paper proposes and analyzes an a posteriori error estimator for the finite element multi-scale discretization approximation of the Steklov eigenvalue problem. Based on the a posteriori error estimates, an adaptive algorithm of shifted inverse iteration type is designed. Finally, numerical experiments comparing the performances of three kinds of different adaptive algorithms are provided, which illustrate the efficiency of the adaptive algorithm proposed here.
Cite
@article{arxiv.1601.01429,
title = {An adaptive algorithm based on the shifted inverse iteration for the Steklov eigenvalue problem},
author = {Hai Bi and Hao Li and Yidu Yang},
journal= {arXiv preprint arXiv:1601.01429},
year = {2016}
}