3 citations · 4 across the 6 of their papers we have counts for
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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…
Investigating molecular transport in the human brain from MRI with physics-informed neural networks
Bastian Zapf, Johannes Haubner, Miroslav Kuchta +3
In recent years, a plethora of methods combining deep neural networks and partial differential equations have been developed. A widely known and popular example are physics-informe…
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…