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A new class of C n interpolations and its application to the finite element method
Author(s) -
Hashemolhosseini H.,
Sadati N.,
Farzin M.
Publication year - 2001
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.358
Subject(s) - superconvergence , interpolation (computer graphics) , mathematics , finite element method , hermitian matrix , class (philosophy) , deflection (physics) , displacement (psychology) , mathematical analysis , lagrangian , geometry , algebra over a field , pure mathematics , structural engineering , computer science , physics , engineering , motion (physics) , classical mechanics , psychology , artificial intelligence , psychotherapist
A new class of C n continuous interpolations is presented. These interpolations consist of two or more Lagrangian interpolations blended by pseudo Hermitian interpolation. Using this class of interpolations a new C n family of displacement type elements is developed. The properties of this new family of elements such as their precision and their superconvergent points are discussed. Some solutions to the corner elements problem and implication of different boundary conditions are proposed. Using this new kind of element, several examples of deflection of elastic beams and plates are treated, the results of which are encouraging. Copyright © 2001 John Wiley & Sons, Ltd.