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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 Chan
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.

History

Publication title

International Journal for Numerical Methods in Biomedical Engineering

Volume

22

Pagination

39-62

ISSN

2040-7939

Department/School

School of Engineering

Publisher

John Wiley & Sons Ltd

Place of publication

United Kingdom

Rights statement

Copyright 1986 John Wiley & Sons

Repository Status

  • Restricted

Socio-economic Objectives

Civil construction design

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