2 citations · 3 across the 3 of their papers we have counts for
3 papers
Shape optimization in the space of piecewise-smooth shapes for the Bingham flow variational inequality
Tim Suchan, Volker Schulz, Kathrin Welker
This paper sets up an approach for shape optimization problems constrained by variational inequalities (VI) in an appropriate shape space. In contrast to classical VI, where no exp…
Optimization of piecewise smooth shapes under uncertainty using the example of Navier-Stokes flow
Caroline Geiersbach, Tim Suchan, Kathrin Welker
We investigate a complex system involving multiple shapes to be optimized in a domain, taking into account geometric constraints on the shapes and uncertainty appearing in the phys…
On diffeologies from infinite dimensional geometry to PDE constrained optimization
Nico Goldammer, Jean-PIerre Magnot, Kathrin Welker
We review how diffeologies complete the settings classically used from infinite dimensional geometry to partial differential equations, based on classical settings of functional an…