Second-order design sensitivity analysis using diagonal hyper-dual numbers
From MaRDI portal
Publication:6554052
DOI10.1002/NME.6824zbMATH Open1548.65289MaRDI QIDQ6554052
Pablo Andrés Muñoz-Rojas, Vitor Takashi Endo, E. A. Fancello
Publication date: 12 June 2024
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
finite element methodsensitivity analysisstructural optimizationautomatic differentiationhyper-dual numbersdiagonal Hessian
Cites Work
- Incomplete series expansion for function approximation
- First-order sequential convex programming using approximate diagonal QP subproblems
- DNAD, a simple tool for automatic differentiation of Fortran codes using dual numbers
- Automatic implementation of finite strain anisotropic hyperelastic models using hyper-dual numbers
- Structural optimization based on second-order approximations of functions and dual theory
- Quadratic programming solver for structural optimisation using SQP algorithm
- A highly accurate 1st- and 2nd-order differentiation scheme for hyperelastic material models based on hyper-dual numbers
- Diagonal approximation of the Hessian by finite differences for unconstrained optimization
- Second order topological sensitivity analysis
- Multi-material thermomechanical topology optimization with applications to additive manufacturing: design of main composite part and its support structure
- Implementation of incremental variational formulations based on the numerical calculation of derivatives using hyper dual numbers
- On the Use of Stochastic Hessian Information in Optimization Methods for Machine Learning
- A quadratic approximation for structural topology optimization
- Structural shape optimization using msc/nastran and sequential quadratic programming
- Trust-region algorithms for training responses: machine learning methods using indefinite Hessian approximations
- A New Diagonal Quasi-Newton Updating Method With Scaled Forward Finite Differences Directional Derivative for Unconstrained Optimization
- Efficient approximation concepts using second order information
Related Items (1)
This page was built for publication: Second-order design sensitivity analysis using diagonal hyper-dual numbers
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6554052)