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Sequential interpolation functions
Author(s) -
Feijoo Raul A.,
Bevilacqua Luiz
Publication year - 1976
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.1620100111
Subject(s) - interpolation (computer graphics) , finite element method , mathematics , linear interpolation , trilinear interpolation , nearest neighbor interpolation , element (criminal law) , spline interpolation , stairstep interpolation , bilinear interpolation , mathematical optimization , algorithm , computer science , mathematical analysis , structural engineering , engineering , artificial intelligence , statistics , law , polynomial , political science , motion (physics)
Abstract In the present paper it is shown how to achieve special interpolation functions that can be applied to the finite element method, least squares methods or other related numerical techniques. We call these functions sequential interpolation functions since one of the main characteristics of this technique refers to the fact that the refinement of the solution does not require the redefinition of the interpolation funtions used in a previous step, as the case for instance in the FEM. The present theory and the FEM using an isoparametric element were compared for a plane stress problem. The results show that both have the same degree of accuracy. The choice of the sequential interpolation functions is easier than those used in the finite element formulation and the computer time was reduced by about 50 per cent.