Premium
Dual adaptive finite element refinement for multiple local quantities in linear elastostatics
Author(s) -
Almeida Pereira O. J. B.,
Moitinho de Almeida J. P.
Publication year - 2010
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.2834
Subject(s) - finite element method , discretization , simple (philosophy) , dual (grammatical number) , plane stress , mathematics , discretization error , mathematical optimization , linear elasticity , computer science , algorithm , mathematical analysis , engineering , structural engineering , art , philosophy , literature , epistemology
In this paper, we summarize how dual analysis techniques can be used to determine upper bounds of the discretization error, both in terms of global and local outputs. We present formulas for the bounds of the error in local outputs, based on the approach proposed by Greenberg in 1948 and we show that the resulting intervals are the same as those previously presented, based on the approach proposed by Washizu in 1953. We then explain how the elemental contributions to these bounds can be used to define an adaptive strategy that considers multiple quantities and we present its application to a simple plane stress problem. Copyright © 2010 John Wiley & Sons, Ltd.