A localized meshless method for diffusion on folded surfaces

DOI10.1016/j.jcp.2015.05.021zbMath1349.65508OpenAlexW334580453WikidataQ58222841 ScholiaQ58222841MaRDI QIDQ350146

Steven J. Ruuth, Leevan Ling, Ka Chun Cheung

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2015.05.021

zbMATH Keywords

surfacediffusionpower functionclosest point methodradial basis function (RBF)

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (6)

Meshfree semi-Lagrangian methods for solving surface advection PDEs ⋮ New Artificial Tangential Motions for Parametric Finite Element Approximation of Surface Evolution ⋮ A Kernel-Based Embedding Method and Convergence Analysis for Surfaces PDEs ⋮ A least-squares implicit RBF-FD closest point method and applications to PDEs on moving surfaces ⋮ An RBF-FD closest point method for solving PDEs on surfaces ⋮ PDEs on moving surfaces via the closest point method and a modified grid based particle method

Uses Software

• Matlab
• pointonsphere
• rbf_qr

Cites Work

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• Stable Computations with Gaussian Radial Basis Functions
• A radial basis function method for the shallow water equations on a sphere
• Variational, Geometric, and Level Set Methods in Computer Vision
• Variational problems and partial differential equations on implicit surfaces

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