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The patch test - a condition for assessing FEM convergence
journal contribution
posted on 2023-05-18, 22:45 authored by Taylor, RL, Simo, JC, Zienkiewicz, OC, Andrew ChanAndrew ChanThis 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.
History
Publication title
International Journal for Numerical Methods in Biomedical EngineeringVolume
22Pagination
39-62ISSN
2040-7939Department/School
School of EngineeringPublisher
John Wiley & Sons LtdPlace of publication
United KingdomRights statement
Copyright 1986 John Wiley & SonsRepository Status
- Restricted