论文标题
一种用于求解流形椭圆方程的数值域分解方法
A numerical domain decomposition method for solving elliptic equations on manifolds
论文作者
论文摘要
提出了一种新的数值域分解方法，用于求解紧凑的riemannian歧管上的椭圆方程。该方法的优点是避免在流形上进行全局三角剖分或网格。我们的方法在大约4美元的二维流形上进行数值测试，例如单位球$ s^{4} $，复杂的投影空间$ \ mathbb {cp}^{2} $和产品歧管$ s^{2} \ 2} \ times S^{2} $。
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 $4$-dimensional manifolds such as the unit sphere $S^{4}$, the complex projective space $\mathbb{CP}^{2}$ and the product manifold $S^{2} \times S^{2}$.
