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Bilevel Approach of a Decomposed Topology OptimizationProblem

Published online by Cambridge University Press:  26 August 2010

A. Taik ,
A. Makrizi  and
B. Radi
A. Makrizi
Affiliation:
GGDA, F.S. Ben M’sik, Boulevard Cdt Driss Harti, BP: 7955, Casablanca, Morocco
B. Radi*
Affiliation:
FST Errachidia, BP: 509, Boutalamine, Errachidia, Morocco
*
* Corresponding author: E-mail:[email protected]
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Abstract

In topology optimization problems, we are often forced to deal with large-scale numericalproblems, so that the domain decomposition method occurs naturally. Consider a typicaltopology optimization problem, the minimum compliance problem of a linear isotropicelastic continuum structure, in which the constraints are the partial differentialequations of linear elasticity. We subdivide the partial differential equations into twosubproblems posed on non-overlapping sub-domains. In this paper, we consider the resultingproblem as multilevel one and show that it can be written as one level problem

Keywords

topology optimizationdomain decomposition methodcompliancemultilevel optimization
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 5 , Issue 7: JANO9 – The 9thInternational Conference on Numerical Analysis and Optimization , 2010 , pp. 128 - 131
Copyright
© EDP Sciences, 2010

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References

Makrizi, A., Radi, B., Hami, A. E.. Solution of the topology optimization problem based subdomains method . Applied Mathematical Sciences, 2 (2008), No. 41, 2029–2045.Google Scholar
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J.F. Bard. Practical bilevel optimization: algorithms and applications. Kluwer Academic Publishers, Dordrecht, 1998.
M.P. Bendsøe, O. Sigmund. Topology optimization, theory, methods and applications. Springer Verlag, 2003.