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The patch test - a condition for assessing FEM convergence


Taylor, RL and Simo, JC and Zienkiewicz, OC and Chan, AHC, The patch test - a condition for assessing FEM convergence, International Journal for Numerical Methods in Biomedical Engineering, 22, (1) pp. 39-62. ISSN 2040-7939 (1986) [Refereed Article]

Copyright Statement

Copyright 1986 John Wiley & Sons

DOI: doi:10.1002/nme.1620220105


This paper discusses various forms of the Irons patch test and shows again that its satisfaction is a necessary convergence condition being equivalent to consistency. Further, it is shown that the test can be applied for verification of stability requirements, thus providing also a sufficient condition of convergence. The patch test is useful in testing the order of asymptotic convergence and the satisfaction of the test gives a guide for development of certain incompatible element forms.

Item Details

Item Type:Refereed Article
Keywords:patch test, finite element method, convergence
Research Division:Engineering
Research Group:Civil engineering
Research Field:Structural engineering
Objective Division:Construction
Objective Group:Construction design
Objective Field:Civil construction design
UTAS Author:Chan, AHC (Professor Andrew Chan)
ID Code:111765
Year Published:1986
Web of Science® Times Cited:233
Deposited By:Office of the School of Engineering
Deposited On:2016-10-05
Last Modified:2016-11-14

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