Improved two-point function approximations for design optimization

DOI10.2514/3.12715zbMath0849.73049OpenAlexW2097963541MaRDI QIDQ4878230

Liping Wang, Ramana V. Grandhi

Publication date: 17 November 1996

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

Full work available at URL: https://doi.org/10.2514/3.12715

zbMATH Keywords

second-order approximationcorrection termfirst-order approximationapproximate Hessian matrix

Mathematics Subject Classification ID

Optimization problems in solid mechanics (74P99)

Related Items (12)

Enhanced two-point diagonal quadratic approximation methods for design optimization ⋮ An efficient gradient-based optimization algorithm for mechanical systems ⋮ A search algorithm for calculating validated reliability bounds ⋮ Incomplete series expansion for function approximation ⋮ Sequential approximate optimization using dual subproblems based on incomplete series expansions ⋮ A new three-point approximation approach for design optimization problems ⋮ Approximated approximations for SAO ⋮ Mid-range metamodel assembly building based on linear regression for large scale optimization problems ⋮ Two-point mid-range approximation enhanced recursive quadratic programming method ⋮ Higher-order failure probability calculation using nonlinear approximations ⋮ Probabilistic Analysis Using High Dimensional Model Representation and Fast Fourier Transform ⋮ Reliability-based optimization of design variance to identify critical tolerances

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