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Some basic formulae for area co-ordinates in quadrilateral elements

✍ Scribed by Long, Zhifei ;Li, Juxuan ;Cen, Song ;Long, Yuqiu

Publisher: John Wiley and Sons
Year: 1999
Tongue: English
Weight: 118 KB
Volume: 15
Category: Article
ISSN: 1069-8299
DOI: 10.1002/(sici)1099-0887(199912)15:12<841::aid-cnm290>3.0.co;2-a

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✦ Synopsis

The area co-ordinate method, which is an ecient tool in the construction of triangular elements, has been recently generalized to construct straight-sided quadrilateral elements. In this paper, the dierential and integral formulae for area co-ordinates in quadrilateral elements are presented. Consequently, the numerical integration method that must be used in the formulation of the stiness matrix in isoparametric elements can now be discarded.

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