High-order algorithms for Laplace-Beltrami operators and geometric invariants over curved surfaces

DOI10.1007/s10915-015-9986-6zbMath1329.65263OpenAlexW2028222626MaRDI QIDQ896220

Sheng-Gwo Chen, Mei-Hsiu Chi, Jyh-Yang Wu

Publication date: 9 December 2015

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-015-9986-6

zbMATH Keywords

algorithmconvergencenumerical exampleeigenvaluefinite difference methodeigenvalue problemconfiguration equationdiscrete Laplace-Beltrami operator

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Elliptic equations on manifolds, general theory (58J05) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (4)

An immersed boundary method for simulating vesicle dynamics in three dimensions ⋮ Discrete Conservation Laws on Evolving Surfaces ⋮ A face-based LTL method for solving diffusion equations and Cahn-Hilliard equations on stationary surfaces ⋮ Pseudo‐Spectral Methods for the Laplace‐Beltrami Equation and the Hodge Decomposition on Surfaces of Genus One

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