3 papers
math.OC2015
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…
math.OC2015
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…
math.AP2015
Minimising a relaxed Willmore functional for graphs subject to boundary conditions
Klaus Deckelnick, Hans-Christoph Grunau, Matthias Röger
For a bounded smooth domain in the plane and smooth boundary data we consider the minimisation of the Willmore functional for graphs subject to Dirichlet or Navier boundary conditi…