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Derivation of Lagrangian and Hermitian shape functions for triangular elements

โœ Scribed by A. El-Zafrany; R. A. Cookson


Publisher
John Wiley and Sons
Year
1986
Tongue
English
Weight
474 KB
Volume
23
Category
Article
ISSN
0029-5981

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๐Ÿ“œ SIMILAR VOLUMES


Derivation of Lagrangian and Hermitian s
โœ A. El-Zafrany; R. A. Cookson ๐Ÿ“‚ Article ๐Ÿ“… 1986 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 930 KB

This paper introduces a general theory for the derivation of the shape functions for the quadrilateral family of finite elements. The first section deals with the Lagrangian shape functions for the cases of uniform and boundary-described elements. Two basic procedures are introduced; the first by li

Systematic and generic construction of s
โœ Philippe Remy Bernard Devloo; Cedric Marcelo Augusto Ayala Bravo; Edimar Cesar R ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 617 KB

## a b s t r a c t This paper presents a methodology for generating high-order shape functions for the complete family of finite elements. The geometric entities presented are the point, line, triangle, quadrilateral, tetrahedron, pyramid, prism, and hexahedron. The shape functions constructed are