A collocation meshless method based in local optimal point interpolation

Zuppa, Carlos
Cardona, Alberto

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Publication date

March 2003

DOI

10.1002/nme.687

Publisher

Wiley

ISSN

0029-5981

Journal

International Journal for Numerical Methods in Engineering

Citation count (estimate)

Abstract

This paper deals with the use of the local optimal point interpolating (LOPI) formula in solving partial differential equations (PDEs) with a collocation method. LOPI is an interpolating formula constructed by localization of optimal point interpolation formulas that reproduces polynomials and verifies the delta Kronecker property. This scheme results in a truly meshless method that produces high quality output and accurate solutions.Fil: Zuppa, Carlos. Universidad Nacional de San Luis; ArgentinaFil: Cardona, Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química. Universidad Nacional del Litoral. Instituto de Desarr...