Numerical study of the RBF-FD level set based method for partial differential equations on evolving-in-time surfaces

DOI10.1007/978-3-030-15119-5_7zbMath1434.65211OpenAlexW4249484422MaRDI QIDQ2283698

Andriy Sokolov, O. V. Davydov, Stefan Turek

Publication date: 13 January 2020

Full work available at URL: http://hdl.handle.net/2003/36231

zbMATH Keywords

reaction-diffusion-convectionradial basis function (RBF)-finite difference (FD) level set based method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) 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) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Approximation by other special function classes (41A30)

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Error bounds for a least squares meshless finite difference method on closed manifolds ⋮ Meshfree methods on manifolds for hydrodynamic flows on curved surfaces: a generalized moving least-squares (GMLS) approach

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