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An interpolation method for an irregular net of nodes
Author(s) -
Liszka Tadeusz
Publication year - 1984
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.1620200905
Subject(s) - interpolation (computer graphics) , weighting , finite element method , mathematics , minification , stability (learning theory) , taylor series , bilinear interpolation , multivariate interpolation , mathematical optimization , function (biology) , net (polyhedron) , algorithm , mathematical analysis , geometry , computer science , structural engineering , engineering , artificial intelligence , motion (physics) , medicine , machine learning , evolutionary biology , biology , radiology , statistics
A local interpolation method for an irregular mesh of nodal points is proposed. The method is based on a Taylor expansion of the unknown function combined with the minimization of errors. Some numerical tests as well as a computer program are presented. Applicability and stability of the method are shown. By the appropirate definition of weighting coefficients, this method may be viewed as an interpolation or approximation in the sense of minimum deviation from given values. Applications in finite element and finite difference methods are shown.