Schwarz iteration method for elliptic equation with rough media based on random sampling
Numerical Analysis
2019-10-07 v1 Numerical Analysis
Abstract
We propose a computationally efficient Schwarz method for elliptic equations with rough media. A random sampling strategy is used to find low-rank approximations of all local solution maps in the offline stage; these maps are used to perform fast Schwarz iterations in the online stage. Numerical examples demonstrate accuracy and robustness of our approach.
Keywords
Cite
@article{arxiv.1910.02022,
title = {Schwarz iteration method for elliptic equation with rough media based on random sampling},
author = {Ke Chen and Qin Li and Stephen J. Wright},
journal= {arXiv preprint arXiv:1910.02022},
year = {2019}
}