PDE constrained shape optimization as optimization on shape manifolds

Volker H. Schulz; Martin Siebenborn; Kathrin Welker

Conference Proceedings

PDE constrained shape optimization as optimization on shape manifolds

Schulz V
Siebenborn M
Welker K

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (2015) 9389 499-508

DOI: 10.1007/978-3-319-25040-3_54

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Abstract

The novel Riemannian view on shape optimization introduced in [14] is extended to a Lagrange–Newton as well as a quasi– Newton approach for PDE constrained shape optimization problems.

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Limited memory BFGS
Newton method
Quasi–Newton method
Riemannian manifold
Shape optimization

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Schulz, V. H., Siebenborn, M., & Welker, K. (2015). PDE constrained shape optimization as optimization on shape manifolds. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 9389, pp. 499–508). Springer Verlag. https://doi.org/10.1007/978-3-319-25040-3_54

PDE constrained shape optimization as optimization on shape manifolds

Abstract

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