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• W2619353030 abstract "The Laplace–Beltrami operator, a fundamental object associated with Riemannian manifolds, encodes all intrinsic geometry of manifolds and has many desirable properties. Recently, we proposed the point integral method (PIM), a novel numerical method for discretizing the Laplace–Beltrami operator on point clouds (Li et al. in Commun Comput Phys 22(1):228–258, 2017). In this paper, we analyze the convergence of PIM for Poisson equation with Neumann boundary condition on submanifolds that are isometrically embedded in Euclidean spaces." @default.
• W2619353030 created "2017-06-05" @default.
• W2619353030 creator A5037419606 @default.
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• W2619353030 date "2017-11-06" @default.
• W2619353030 modified "2023-10-14" @default.
• W2619353030 title "Convergence of the point integral method for Laplace–Beltrami equation on point cloud" @default.
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• W2619353030 doi "https://doi.org/10.1186/s40687-017-0111-3" @default.
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