Approximation near the boundary of a radial quasi-interpolant in polygonal domains

DOI10.1080/00207160412331291152zbMath1065.65010OpenAlexW1965293650MaRDI QIDQ4652850

Pedro González-Casanova, Christian Gout

Publication date: 28 February 2005

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160412331291152

zbMATH Keywords

triangulationnumerical examplesradial basis functionsquasi-interpolationsurface approximationcomputer-aided design

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Numerical interpolation (65D05) Computer-aided design (modeling of curves and surfaces) (65D17)

Cites Work

• Quasi-interpolation by thin-plate splines on a square
• Domain decomposition for elliptic partial differential equations with Neumann boundary conditions
• A practical guide to splines
• Error estimates for interpolation by compactly supported radial basis functions of minimal degree
• A result about scale transformation families in approximation: application to surface fitting from rapidly varying data
• A unified theory of radial basis functions. Native Hilbert spaces for radial basis functions. II
• DIV-CURL vector quasi-interpolation on a finite domain.
• On quasi-interpolation with radial basis functions
• On quasi-interpolation by radial basis functions with scattered centres
• On the effect of numerical integration in the Galerkin boundary element method
• Compatibilité de traces aux arêtes et coins d'un polyèdre
• An Algorithm for C 1 Surface Approximation with Large Variations

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