Shape Differentiability Under Non-linear PDE Constraints

DOI10.1007/978-3-319-17563-8_12zbMath1329.49097OpenAlexW2490407112MaRDI QIDQ3466797

Kevin Sturm

Publication date: 25 January 2016

Published in: New Trends in Shape Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-17563-8_12

zbMATH Keywords

minimax formulationmaterial derivativeshape derivativenon-linear PDELagrange methodCéa's method

Mathematics Subject Classification ID

Optimization of shapes other than minimal surfaces (49Q10) Sensitivity analysis for optimization problems on manifolds (49Q12)

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Cites Work

• Shape optimization for the Maxwell equations under weaker regularity of the data
• Shape sensitivity analysis via a penalization method
• Sensitivity of the heat equation to jumps of conductivity
• The domain derivative of time-harmonic electromagnetic waves at interfaces
• Boundary Control of Semilinear Elliptic Equations with Pointwise State Constraints
• Directional derivative of a minimax function
• Variational approach to shape derivatives
• Analytical and numerical methods in shape optimization
• Conception optimale ou identification de formes, calcul rapide de la dérivée directionnelle de la fonction coût
• Shape Sensitivity Analysis via Min Max Differentiability