A parallel domain decomposition method for solving elliptic equations on manifolds
Numerical Analysis
2025-04-03 v2 Numerical Analysis
Abstract
We propose a new numerical domain decomposition method for solving elliptic equations on compact Riemannian manifolds. One advantage of this method is its ability to bypass the need for global triangulations or grids on the manifolds. Additionally, it features a highly parallel iterative scheme. To verify its efficacy, we conduct numerical experiments on some -dimensional manifolds without and with boundary.
Cite
@article{arxiv.2402.00364,
title = {A parallel domain decomposition method for solving elliptic equations on manifolds},
author = {Lizhen Qin and Feng Wang and Yun Wang},
journal= {arXiv preprint arXiv:2402.00364},
year = {2025}
}
Comments
Final version. To appear in SIAM Journal on Scientific Computing