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A new class of Cn interpolations and its application to the finite element method

โœ Scribed by H. Hashemolhosseini; N. Sadati; M. Farzin

Publisher
John Wiley and Sons
Year
2002
Tongue
English
Weight
343 KB
Volume
53
Category
Article
ISSN
0029-5981

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โœฆ Synopsis

Abstract

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 ยฉ 2001 John Wiley & Sons, Ltd.

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