The patch test—a condition for assessing FEM convergence
作者:
R. L. Taylor,
J. C. Simo,
O. C. Zienkiewicz,
A. C. H. Chan,
期刊:
International Journal for Numerical Methods in Engineering
(WILEY Available online 1986)
卷期:
Volume 22,
issue 1
页码: 39-62
ISSN:0029-5981
年代: 1986
DOI:10.1002/nme.1620220105
出版商: John Wiley&Sons, Ltd
数据来源: WILEY
摘要:
AbstractThis paper discusses various forms of the Irons patch test and shows again that its satisfaction is anecessaryconvergence condition being equivalent to consistency, Further, it is shown that the test can be applied for verification of stability requirements, thus providing also asufficientcondition 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.
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