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Augmented Lagrangian for cone constrained topology optimization

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Abstract

Algorithmic aspects for the solution of topological shape optimization problems subject to a cone constraint are addressed in this paper. In this framework, an augmented Lagrangian method based on the concept of topological derivative is proposed. It is illustrated by some numerical experiments in structural optimization with compliance and eigenfrequency constraints and multiple loads.

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Authors and Affiliations

  1. Laboratoire d’Analyse non Linéaire et Géométrie, Faculté des Sciences, Université d’Avignon, 33 Rue Louis Pasteur, 84000, Avignon, France

    Samuel Amstutz

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Correspondence to Samuel Amstutz.

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Amstutz, S. Augmented Lagrangian for cone constrained topology optimization. Comput Optim Appl 49, 101–122 (2011). https://doi.org/10.1007/s10589-009-9272-3

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