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A simple stress error estimator for Hybrid‐Trefftz p ‐version elements
Author(s) -
Jirousek J.,
Venkatesh A.
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.1620280115
Subject(s) - pointwise , estimator , simple (philosophy) , mathematics , a priori and a posteriori , algorithm , stress (linguistics) , bending , mathematical optimization , computer science , structural engineering , mathematical analysis , statistics , engineering , philosophy , linguistics , epistemology
An a posteriori error estimator is presented which allows a good pointwise evaluation of the error in predicted stresses and can easily be implemented in existing FE codes. Although this estimator has especially been developed for and tested on p ‐version Hybrid‐Trefftz (HT) elements, it is anticipated that it can also be applied to conventional conforming p ‐version elements. The practical efficiency of the estimator is illustrated through the solution of various plate bending problems by using the HT p ‐version Kirchhoff plate elements. 2