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A penalty method for topology optimization subject to a pointwise state constraint

Published online by Cambridge University Press:  18 June 2009

Samuel Amstutz
Samuel Amstutz*
Affiliation:
Laboratoire d'Analyse Non Linéaire et Géométrie, Faculté des Sciences, 33 rue Louis Pasteur, 84000 Avignon, France. samuel.amstutz@univ-avignon.fr
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Abstract

This paper deals with topology optimization of domains subject to a pointwise constraint on the gradient of the state. To realize this constraint, a class of penalty functionals is introduced and the expression of the corresponding topological derivative is obtained for the Laplace equation in two space dimensions. An algorithm based on these concepts is proposed. It is illustrated by some numerical applications.

Keywords

Topology optimizationtopological derivativepenalty methodspointwise state constraints
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 16 , Issue 3 , July 2010 , pp. 523 - 544
Copyright
© EDP Sciences, SMAI, 2009

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