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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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