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A Numerical Domain Decomposition Method for Solving Elliptic Equations on Manifolds
SIAM Journal on Scientific Computing ( IF 3.1 ) Pub Date : 2024-02-01 , DOI: 10.1137/23m1546221
Shuhao Cao 1 , Lizhen Qin 2
Affiliation  

SIAM Journal on Scientific Computing, Volume 46, Issue 1, Page A376-A398, February 2024.
Abstract. A new numerical domain decomposition method is proposed for solving elliptic equations on compact Riemannian manifolds. The advantage of this method is to avoid global triangulations or grids on manifolds. Our method is numerically tested on some four-dimensional manifolds such as the unit sphere [math], the complex projective space [math], and the product manifold [math].
更新日期:2024-02-02
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