| Issue |
ESAIM: COCV
Volume 16, Number 3, July-September 2010
|
|
|---|---|---|
| Page(s) | 523 - 544 | |
| DOI | https://doi.org/10.1051/cocv/2009013 | |
| Published online | 18 June 2009 | |
A penalty method for topology optimization subject to a pointwise state constraint
Laboratoire d'Analyse Non Linéaire et Géométrie, Faculté des Sciences, 33 rue Louis Pasteur, 84000 Avignon, France. samuel.amstutz@univ-avignon.fr
Received:
8
January
2008
Revised:
21
November
2008
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.
Mathematics Subject Classification: 49Q10 / 49Q12 / 49M30 / 35J05
Key words: Topology optimization / topological derivative / penalty methods / pointwise state constraints
© EDP Sciences, SMAI, 2009
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