| Contents |
| We consider the problem of shape and topology optimization in fluid and solid mechanics.
A phase field approach is introduced and discussed in terms of well-posedness and first order optimality
conditions. We find that the minimizers of the diffuse interface model converge along subsequences
to a minimizer of classical shape and topology optimization problems. Additionally, we can pass
to the sharp interface limit in the phase field equations and obtain classical shape derivatives in the
limit. Finally we present numerical simulations based on the phase field approach which demonstrate
that the phase field approach can be used to solve shape and topology optimization problems. |
|