Higher-order sensitivity analysis of finite element method by automatic differentiation

DOI10.1007/BF00369867zbMath0845.73071MaRDI QIDQ1898450

Fumihiko Kimura, Martin Berz, I. Ozaki

Publication date: 23 September 1996

Published in: Computational Mechanics (Search for Journal in Brave)

zbMATH Keywords

Young's modulusgeometric parametersnon-Archimedean analysisalgebraic techniquesangular deflectionshigher order Fréchet derivatives

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Optimization problems in solid mechanics (74P99)

Related Items

An extension of shape sensitivity analysis to an immersed boundary method based on Cartesian grids ⋮ Review of options for structural design sensitivity analysis. I: Linear systems ⋮ Higher-order reverse automatic differentiation with emphasis on the third-order

Uses Software

• Cosy
• DAFOR

Cites Work

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• Second-order design sensitivity analysis of mechanical system dynamics
• The Arithmetic of Differentiation
• Rates of change of eigenvalues and eigenvectors.