Risk averse elastic shape optimization with parametrized fine scale geometry

DOI10.1007/s10107-012-0531-1zbMath1280.90090OpenAlexW2022184472MaRDI QIDQ378125

Martin Rumpf, Benedict Geihe, Rüdiger Schultz, Martin O. Lenz

Publication date: 11 November 2013

Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10107-012-0531-1

zbMATH Keywords

cost functionalboundary value problemellipsoidal holes

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Stochastic programming (90C15) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items

Stochastic Dominance Constraints in Elastic Shape Optimization ⋮ Two-Stage Stochastic Optimization Meets Two-Scale Simulation ⋮ Robust optimal shape design for an elliptic PDE with uncertainty in its input data ⋮ Robust shape optimization of continuous structures via the level set method ⋮ Properties of chance constraints in infinite dimensions with an application to PDE constrained optimization ⋮ The Homogenization Method for Topology Optimization of Structures: Old and New ⋮ Optimizing fiber orientation in fiber-reinforced materials using efficient upscaling ⋮ Risk-averse structural topology optimization under random fields using stochastic expansion methods ⋮ Risk averse stochastic structural topology optimization

Uses Software

• Ipopt
• Triangle

Cites Work

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