Shape Optimization with Nonsmooth Cost Functions: From Theory to Numerics

DOI10.1137/16M1069882zbMath1355.49036arXiv1603.08235OpenAlexW2964292806MaRDI QIDQ2953320

Kevin Sturm

Publication date: 4 January 2017

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.08235

zbMATH Keywords

numerical methodsshape optimizationPDE constraintsnonsmooth cost functions

Mathematics Subject Classification ID

Related Items (6)

The strip method for shape derivatives ⋮ First and Second Order Shape Optimization Based on Restricted Mesh Deformations ⋮ A shape optimization approach for electrical impedance tomography with point measurements ⋮ Shape Optimization for a Class of Semilinear Variational Inequalities with Applications to Damage Models ⋮ Designing polymer spin packs by tailored shape optimization techniques ⋮ An abstract Lagrangian framework for computing shape derivatives

Uses Software

• FEniCS
• CVXOPT

Cites Work

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• Minimax Lagrangian Approach to the Differentiability of Nonlinear PDE Constrained Shape Functions Without Saddle Point Assumption
• Functional analysis

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