Second-order sensitivity derivatives in structural analysis

DOI10.2514/3.8020zbMath0541.73066OpenAlexW1975331449MaRDI QIDQ3328849

Raphael T. Haftka

Publication date: 1982

Published in: AIAA Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2514/3.8020

zbMATH Keywords

second-order sensitivity derivatives

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Finite element methods applied to problems in solid mechanics (74S05)

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First and second order constraint approximations in structural optimization ⋮ Total pressure losses minimization in turbomachinery cascades using the exact Hessian ⋮ A homogenization method for shape and topology optimization ⋮ Structural optimization based on second-order approximations of functions and dual theory ⋮ Second-order adjoint sensitivity analysis methodology (2nd-ASAM) for computing exactly and efficiently first- and second-order sensitivities in large-scale linear systems. I: Computational methodology ⋮ A Preconditioning Method for Shape Optimization Governed by the Euler Equations

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