The patch test - a condition for assessing FEM convergence
journal contribution
posted on 2023-05-18, 22:45authored byTaylor, 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