Some basic formulae for area co-ordinates in quadrilateral elements.

Authors :: Zhifei Long
Juxuan Li
Song Cen
Yuqiu Long
Source :: Communications in Numerical Methods in Engineering. Dec99, Vol. 15 Issue 12, p841-852. 12p. 3 Diagrams, 1 Chart.
Publication Year :: 1999
Abstract: The area co-ordinate method, which is an efficient tool in the construction of triangular elements, has been recently generalized to construct straight-sided quadrilateral elements. In this paper, the differential 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 stiffness matrix in isoparametric elements can now be discarded. Copyright © 1999 John Wiley & Sons, Ltd. [ABSTRACT FROM AUTHOR]

Subjects :: *FINITE element method
*NUMERICAL analysis
*NUMERICAL integration
*QUADRILATERALS
*MATHEMATICAL formulas

Language :: English
ISSN :: 10698299
Volume :: 15
Issue :: 12
Database :: Academic Search Index
Journal :: Communications in Numerical Methods in Engineering
Publication Type :: Academic Journal
Accession number :: 13440277
Full Text :: https://doi.org/10.1002/(SICI)1099-0887(199912)15:12<841::AID-CNM290>3.0.CO;2-A