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Error estimation and adaptivity in flow formulation for forming problems
Author(s) -
Zienkiewicz O. C.,
Liu Y. C.,
Huang G. C.
Publication year - 1988
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.1620250105
Subject(s) - estimator , mathematical optimization , computer science , process (computing) , adaptive mesh refinement , flow (mathematics) , generator (circuit theory) , algorithm , mathematics , computational science , statistics , power (physics) , physics , geometry , quantum mechanics , operating system
A very simple and reliable error estimator has recently been developed for problems of linear elasticity. 1 This leads naturally toa predication of an h ‐mesh refinement required for a given accuracy and with a suitable mesh generator 2 for an efficient adaptive process. In this paper we extend the methodology developed previously to incompresible plastic flow of metals or polymers using the ‘flow formulation’ approach. 3 The examples of application include steady state extrusion problems for which exact solutions are available and hence allow the efficiency of the error estimates to be tested as well as more complex problems of upsetting in which the mesh is updated. It is found that the estimator performs well under various circumstances and provides an economical adaptive process.