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math.OC2024
Numerical Methods for Shape Optimal Design of Fluid-Structure Interaction Problems
Johannes Haubner, Michael Ulbrich
We consider the method of mappings for performing shape optimization for unsteady fluid-structure interaction (FSI) problems. In this work, we focus on the numerical implementation…
math.OC2020★ 3 cited
A continuous perspective on modeling of shape optimal design problems
Johannes Haubner, Martin Siebenborn, Michael Ulbrich
In this article we consider shape optimization problems as optimal control problems via the method of mappings. Instead of optimizing over a set of admissible shapes a reference do…