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