An insight into RBF-FD approximations augmented with polynomials

DOI10.1016/j.camwa.2018.12.029zbMath1442.41007OpenAlexW2907465467WikidataQ128626585 ScholiaQ128626585MaRDI QIDQ2203933

Victor Bayona

Publication date: 2 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10016/31939

zbMATH Keywords

interpolationRBFpolynomialsRunge's phenomenonmeshfreeRBF-FD

Mathematics Subject Classification ID

Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Numerical differentiation (65D25) Approximation by other special function classes (41A30)

Related Items (32)

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Uses Software

• Matlab

Cites Work

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• On the role of polynomials in RBF-FD approximations: II. Numerical solution of elliptic PDEs
• On using radial basis functions in a ``finite difference mode with applications to elasticity problems
• On the role of polynomials in RBF-FD approximations. I: Interpolation and accuracy
• Local radial basis function-based differential quadrature method and its application to solve two-dimensional incompressible Navier--Stokes equations
• Observations on the behavior of radial basis function approximations near boundaries
• Using radial basis function-generated finite differences (RBF-FD) to solve heat transfer equilibrium problems in domains with interfaces
• Numerical quadrature over smooth surfaces with boundaries
• Mesh-free semi-Lagrangian methods for transport on a sphere using radial basis functions
• On the role of polynomials in RBF-FD approximations. III: Behavior near domain boundaries
• Enhancing finite differences with radial basis functions: experiments on the Navier-Stokes equations
• The Runge phenomenon and spatially variable shape parameters in RBF interpolation
• Scattered node compact finite difference-type formulas generated from radial basis functions
• A Primer on Radial Basis Functions with Applications to the Geosciences
• Local error estimates for radial basis function interpolation of scattered data

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