### Margherita Porcelli (Department of Mathematics, University of Namur FUNDP)

#### A multilevel augmented Lagrangian approach for structural optimization

*Tuesday 18 October 2011 at 13.00, JCMB 6206*

##### Abstract

We address the practical optimization problem of sizing an aircraft fuselage.
The problem consists in computing the dimensions of the different elements
constituting a fuselage minimizing the total mass subject to some mechanical
constraints. Mathematically, the problem may be formulated as a very large
nonlinear optimization problem subjected to several nonlinear inequality
constraints. We show that this problem possesses a natural hierarchical
structure that can be exploited by a multilevel approach that is alternative
to decomposition strategies classically employed in this context. Hence, we
propose to embed the Recursive Multilevel Trust Region method designed for
solving bound-constrained nonlinear optimization problems into an Augmented
Lagrangian framework. Preliminary results on small test cases are presented.

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