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The patch test - a condition for assessing FEM convergence (1986)

Taylor, R. L. ; Simo, J. C. ; Zienkiewicz, O. C. ; [et al.]

Chichester [u.a.] : Wiley-Blackwell

International Journal for Numerical Methods in Engineering 22 (1986), S. 39-62

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ISSN: 0029-5981

Keywords: Engineering ; Engineering General

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Mathematics , Technology

Notes: 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.

Additional Material: 13 Ill.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1002/nme.1620220105

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