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A collocation meshless method based on local optimal point interpolation
Author(s) -
Zuppa Carlos,
Cardona Alberto
Publication year - 2003
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.687
Subject(s) - interpolation (computer graphics) , kronecker delta , mathematics , collocation (remote sensing) , regularized meshless method , partial differential equation , orthogonal collocation , point (geometry) , collocation method , mathematical optimization , mathematical analysis , differential equation , ordinary differential equation , singular boundary method , computer science , finite element method , geometry , animation , physics , computer graphics (images) , quantum mechanics , machine learning , boundary element method , thermodynamics
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. Copyright © 2003 John Wiley & Sons, Ltd.