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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