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High order sensitivity analysis in shape optimization problems

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Publication:1116817
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DOI10.1016/0045-7825(89)90029-7zbMath0665.73072OpenAlexW2015972717MaRDI QIDQ1116817

Manuel Casteleiro, Enrique Bendito, Fermín Navarrina

Publication date: 1989

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(89)90029-7


zbMATH Keywords

integrationoptimal shape designhigh order directional differentiation of functionsoptimization of a concrete roofsequential directional derivatives


Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Finite element methods applied to problems in solid mechanics (74S05) Optimization problems in solid mechanics (74P99)


Related Items

High-order shape design sensitivity: A unified approach ⋮ A new adaptive remeshing scheme based on the sensitivity analysis of the SPR point wise error estimation



Cites Work

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  • Shape optimization of structures: a literature survey
  • The gradient of the finite element variational indicator with respect to nodal and applications in fracture mechanics and mesh optimization


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