NANov 27, 2014
Towards a Lagrange-Newton approach for PDE constrained shape optimizationVolker H. Schulz, Martin Siebenborn, Kathrin Welker
The novel Riemannian view on shape optimization developed in [Schulz, FoCM, 2014] is extended to a Lagrange-Newton approach for PDE constrained shape optimization problems. The extension is based on optimization on Riemannian vector space bundles and exemplified for a simple numerical example.