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A simple error estimator and adaptive procedure for practical engineerng analysis
Author(s) -
Zienkiewicz O. C.,
Zhu J. Z.
Publication year - 1987
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.1620240206
Subject(s) - estimator , simple (philosophy) , computer science , finite element method , process (computing) , algorithm , norm (philosophy) , energy (signal processing) , mathematical optimization , mathematics , engineering , statistics , philosophy , structural engineering , epistemology , law , political science , operating system
A new error estimator is presented which is not only reasonably accurate but whose evaluation is computationally so simple that it can be readily implemented in existing finite element codes. The estimator allows the global energy norm error to be well estmated and alos gives a good evaluation of local errors. It can thus be combined with a full adaptive process of refinement or, more simply, provide guidance for mesh redesign which allows the user to obtain a desired accuracy with one or two trials. When combined with an automatic mesh generator a very efficient guidance process to analysis is avaiable. Estimates other than the energy norm have successfully been applied giving, for instance, a predetermined accuracy of stresses.