8 citations · 19 across the 18 of their papers we have counts for
3 papers · 1 filter
Variational discretization of one-dimensional elliptic optimal control problems with BV functions based on the mixed formulation
Evelyn Herberg, Michael Hinze
We consider optimal control of an elliptic two-point boundary value problem governed by functions of bounded variation (BV). The cost functional is composed of a tracking term for…
A Novel -Harmonic Descent Approach Applied to Fluid Dynamic Shape Optimization
Peter Marvin Müller, Niklas Kühl, Martin Siebenborn +3
We introduce a novel method for the implementation of shape optimziation in fluid dynamics applications, where we propose to use the shape derivative to determine deformation field…
A novel approach to shape optimisation with Lipschitz domains
Klaus Deckelnick, Philip J. Herbert, Michael Hinze
This article introduces a novel method for the implementation of shape optimisation with Lipschitz domains. We propose to use the shape derivative to determine deformation fields w…