Premium
Analysis of the Zienkiewicz–Zhu a‐posteriori error estimator in the finite element method
Author(s) -
Ainsworth M.,
Zhu J. Z.,
Craig A. W.,
Zienkiewicz O. C.
Publication year - 1989
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620280912
Subject(s) - estimator , a priori and a posteriori , finite element method , mathematics , statistics , physics , philosophy , thermodynamics , epistemology
Abstract An a‐posteriori error estimator for finite element analysis proposed by Zienkiewicz and Zhu is analysed and shown to be effective and convergent. In addition we analyse wider classes of estimators of which the Zienkiewicz–Zhu estimator is a special case. It is shown that some of these estimators will be asymptotically exact . Numerical evidence is presented supporting the analysis.