Numerical methods for second‐order shape sensitivity analysis with applications to heat conduction problems

DOI10.1002/nme.1620360305zbMath0770.73086OpenAlexW2060065384MaRDI QIDQ4696328

Jeenson Sheen, Gene J.-W. Hou

Publication date: 29 June 1993

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.1620360305

zbMATH Keywords

state and adjoint variablesthermal fin problemAV-DD methodthermal insulation layer problem

Mathematics Subject Classification ID

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Aerodynamic design using the truncated Newton algorithm and the continuous adjoint approach ⋮ Aerodynamic shape optimization using first and second order adjoint and direct approaches ⋮ Bayesian uncertainty quantification of turbulence models based on high-order adjoint ⋮ Second-order defeaturing error estimation for multiple boundary features ⋮ Computation of the Hessian matrix in aerodynamic inverse design using continuous adjoint formulations ⋮ The continuous direct-adjoint approach for second-order sensitivities in viscous aerodynamic inverse design problems ⋮ Total pressure losses minimization in turbomachinery cascades using the exact Hessian

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