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arXiv · 2402.00364

A parallel domain decomposition method for solving elliptic equations on manifolds

Lizhen Qin·Feng Wang·Yun Wang
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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 $4$-dimensional manifolds without and with boundary.

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Lizhen Qin, Feng Wang, Yun Wang. 2025-01-13. A parallel domain decomposition method for solving elliptic equations on manifolds. https://arxiv.org/abs/2402.00364

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