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Discussion of a paper by E. O. Frind
Author(s) -
Brockman R. A.
Publication year - 1978
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.1620120117
Subject(s) - hermite interpolation , hermite polynomials , element (criminal law) , finite element method , interpolation (computer graphics) , parametric statistics , point (geometry) , scheme (mathematics) , mathematics , field (mathematics) , calculus (dental) , computer science , mathematical analysis , geometry , pure mathematics , engineering , structural engineering , artificial intelligence , statistics , image (mathematics) , medicine , dentistry , political science , law
In a recent paper, Dr. Frind has formulated a two‐dimensional isoparametric finite element based upon the Hermite bicubic interpolation scheme. The present discussion focuses upon certain simplifications in the derivation which appear to have diminished the accuracy of the resulting element, and suggests a simpler approach to the element formulation. This author agrees strongly with Dr. Frind's recommendation of the Hermite parametric element as an efficient and useful tool for general field problems; the present comments are offered to point out that, in fact, the accuracy comparisons presented by Dr. Frind are biased against the Hermite finite element.