Optimality Conditions for Shape and Topology Optimization Subject to a Cone Constraint

DOI10.1137/080722874zbMath1202.49050OpenAlexW2102906270MaRDI QIDQ3058495

Samuel Amstutz, Marc Ciligot-Travain

Publication date: 3 December 2010

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

Full work available at URL: https://doi.org/10.1137/080722874

zbMATH Keywords

Lagrange multipliershape optimizationoptimality conditiontopology optimizationshape derivativetopological derivative

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Optimization of shapes other than minimal surfaces (49Q10)

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