3 citations · 4 across the 6 of their papers we have counts for
6 papers
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…
Medical Image Registration using optimal control of a linear hyperbolic transport equation with a DG discretization
Bastian Zapf, Johannes Haubner, Lukas Baumgärtner +1
Patient specific brain mesh generation from MRI can be a time consuming task and require manual corrections, e.g., for meshing the ventricular system or defining subdomains. To add…
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…
Learning Mesh Motion Techniques with Application to Fluid-Structure Interaction
Johannes Haubner, Ottar Hellan, Marius Zeinhofer +1
Mesh degeneration is a bottleneck for fluid-structure interaction (FSI) simulations and for shape optimization via the method of mappings. In both cases, an appropriate mesh motion…
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…
Differentiability results and sensitivity calculation for optimal control of incompressible two-phase Navier-Stokes equations with surface tension
Elisabeth Diehl, Johannes Haubner, Michael Ulbrich +1
We analyze optimal control problems for two-phase Navier-Stokes equations with surface tension. Based on -maximal regularity of the underlying linear problem and recent well-p…