A parallel domain decomposition method for solving elliptic equations on manifolds

Kavli Affiliate: Feng Wang

| First 5 Authors: Lizhen Qin, Feng Wang, Yun Wang, ,

| Summary:

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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