Towards a Lagrange-Newton approach for PDE constrained shape optimization

Published 13 May 2014 in math.NA | (1405.3266v2)

Abstract: 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.

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