Volume 16, Number 3, July-September 2010
|Page(s)||523 - 544|
|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. firstname.lastname@example.org
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.