Convergence of the point integral method for Laplace-Beltrami equation on point cloud

DOI10.1186/s40687-017-0111-3zbMath1395.65124OpenAlexW2619353030WikidataQ59527508 ScholiaQ59527508MaRDI QIDQ721962

D. Kharzeev

Publication date: 20 July 2018

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s40687-017-0111-3

zbMATH Keywords

convergence analysisLaplace-Beltrami operatorpoint cloudNeumann boundarypoint integral method

Mathematics Subject Classification ID

Probabilistic methods, particle methods, etc. for boundary value problems involving PDEs (65N75) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (8)

Generalization of the weighted nonlocal Laplacian in low dimensional manifold model ⋮ A second-order nonlocal approximation for Poisson model with Dirichlet boundary ⋮ Weighted nonlocal Laplacian on interpolation from sparse data ⋮ Nonlocal diffusion models with consistent local and fractional limits ⋮ Harmonic Extension on The Point Cloud ⋮ Unnamed Item ⋮ Point Integral Method for Elliptic Equations with Variable Coefficients on Point Cloud ⋮ Low Dimensional Manifold Model for Image Processing

Uses Software

• Chemotaxis
• ShortLoop

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