Towards a Lagrange-Newton approach for PDE constrained shape optimization
Numerical Analysis
2014-12-01 v2
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.
Cite
@article{arxiv.1405.3266,
title = {Towards a Lagrange-Newton approach for PDE constrained shape optimization},
author = {Volker H. Schulz and Martin Siebenborn and Kathrin Welker},
journal= {arXiv preprint arXiv:1405.3266},
year = {2014}
}
Comments
16 pages, 4 figures, 1 table