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math.AP2020
On the existence of optimal shapes in architecture
Michael Hinz, Frédéric Magoulès, Rozanova-Pierrat Anna +2
We consider shape optimization problems for elasticity systems in architecture. A typical question in this context is to identify a structure of maximal stability close to an initi…
math.AP2020
Non-Lipschitz uniform domain shape optimization in linear acoustics
Michael Hinz, Anna Rozanova-Pierrat, Alexander Teplyaev
We introduce new parametrized classes of shape admissible domains in R^n , n 2, and prove that they are compact with respect to the convergence in the sense of characteristic…