4 papers · 1 filter
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…
Error analysis for global minima of semilinear optimal control problems
Ahmad Ahmad Ali, Klaus Deckelnick, Michael Hinze
In [1] we consider an optimal control problem subject to a semilinear elliptic PDE together with its variational discretization, where we provide a condition which allows to decide…
An optimal shape design problem for plates
Klaus Deckelnick, Michael Hinze, Tobias Jordan
We consider an optimal shape design problem for the plate equation, where the variable thickness of the plate is the design function. This problem can be formulated as a control in…
Global minima for semilinear optimal control problems
Ahmad Ahmad Ali, Klaus Deckelnick, Michael Hinze
We consider an optimal control problem subject to a semilinear elliptic PDE together with its variational discretization. We provide a condition which allows to decide whether a so…