Limits and consistency of nonlocal and graph approximations to the Eikonal equation

DOI10.1093/IMANUM/DRAC082arXiv2105.01977OpenAlexW3157127224MaRDI QIDQ6190843

Nicolas Forcadel, Jalal Fadili, Unnamed Author, Thi Tuyen Nguyen

Publication date: 6 February 2024

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.01977

zbMATH Keywords

viscosity solutionerror boundsweighted graphseikonal equationnonlocalcontinuum limits

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) PDEs with randomness, stochastic partial differential equations (35R60) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Hamilton-Jacobi equations (35F21) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

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