24 citations · 87 across the 19 of their papers we have counts for
3 papers · 1 filter
Combining diffuse and sharp interface methods in shape optimisation
Philip J. Herbert, Michael Hinze, Christian Kahle
We develop a concept for the numerical treatment of shape optimization problems based on the combination of phase field and sharp interface methods. On the one hand, phase field me…
A reduced basis method for parabolic PDEs based on a space-time least squares formulation
Michael Hinze, Christian Kahle, Michael Stahl
In this work, we present a POD-greedy reduced basis method for parabolic partial differential equations (PDEs), based on the least squares space-time formulation proposed in [Hinze…
Long-time behavior of solutions to a fluid dynamic shape optimization problem via phase-field method
Michael Hinze, Christian Kahle, John Sebastian H. Simon
We investigate the long time behavior of solutions to a shape and topology optimization problem with respect to the time-dependent Navier--Stokes equations. The sought topology is…