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

Authors: P. González-Casanova; C. Gout

Source: International Journal of Computer Mathematics, Volume 81, Number 12, December 2004 , pp. 1445-1454(10)

Publisher: Taylor and Francis Ltd

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Abstract:

Given an open bounded subset Omega of R2 with polygonal boundary and a set of n data values whose centers can be used to perform a regular triangulation of Omega, we introduce local and global quasi-interpolants that approximate the unknown function u at any point t of Omega. In particular, the approximation problem near the boundary of the studied domain is solved. The method is modelled using numerical examples.*

E-mail: pedrogc@dgsca2.unam.mx

Keywords: Quasi-interpolation; Radial Basis Functions; Surface Approximation; Computer-aided Design

Document Type: Research article

DOI: 10.1080/00207160412331291152

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