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Superconvergence recovery technique and a posteriori error estimators
Author(s) -
Zhu J. Z.,
Zienkiewicz O. C.
Publication year - 1990
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.1620300707
Subject(s) - superconvergence , estimator , a priori and a posteriori , norm (philosophy) , residual , finite element method , mathematics , mathematical optimization , algorithm , statistics , engineering , structural engineering , philosophy , epistemology , political science , law
A new superconvergence recovery technique for finite element solutions is presented and discussed for one dimensional problems. By using the recovery technique a posteriori error estimators in both energy norm and maximum norm are presented for finite elements of any order. The relation between the postprocessing and residual types of energy norm error estimators has also been demonstrated.