Math. Model. Nat. Phenom.
Volume 5, Number 7, 2010JANO9 – The 9th International Conference on Numerical Analysis and Optimization
|Page(s)||128 - 131|
|Published online||26 August 2010|
Bilevel Approach of a Decomposed Topology Optimization Problem
GGDA, F.S. Ben M’sik, Boulevard Cdt Driss Harti, BP:
2 FST Errachidia, BP: 509, Boutalamine, Errachidia, Morocco
* Corresponding author: E-mail:
In topology optimization problems, we are often forced to deal with large-scale numerical problems, so that the domain decomposition method occurs naturally. Consider a typical topology optimization problem, the minimum compliance problem of a linear isotropic elastic continuum structure, in which the constraints are the partial differential equations of linear elasticity. We subdivide the partial differential equations into two subproblems posed on non-overlapping sub-domains. In this paper, we consider the resulting problem as multilevel one and show that it can be written as one level problem
Mathematics Subject Classification: 74P15 / 35Q93 / 65K10 / 78M50
Key words: topology optimization / domain decomposition method / compliance / multilevel optimization
© EDP Sciences, 2010
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