Space Mapping for Optimal Control of Partial Differential Equations

DOI10.1137/S105262340342907XzbMath1114.49033OpenAlexW2015328631WikidataQ58040618 ScholiaQ58040618MaRDI QIDQ5317534

Michael Hintermüller, Luis Nunes Vicente

Publication date: 16 September 2005

Published in: SIAM Journal on Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s105262340342907x

zbMATH Keywords

simulation-based optimizationquasi-Newton methodsspace mappingtrust regionsPDE-constrained optimizationoptimal control of PDEs

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Optimality conditions for problems involving partial differential equations (49K20) Newton-type methods (49M15) Methods of quasi-Newton type (90C53) Discrete approximations in optimal control (49M25)

Related Items (9)

Inversion of convection-diffusion equation with discrete sources ⋮ Hyper-differential sensitivity analysis with respect to model discrepancy: optimal solution updating ⋮ Space Mapping for PDE Constrained Shape Optimization ⋮ Enabling Hyper-Differential Sensitivity Analysis for Ill-Posed Inverse Problems ⋮ Extended group finite element method ⋮ Space mapping techniques for the optimal inflow control of transmission lines ⋮ Space mapping-based receding horizon control for stochastic interacting particle systems: dogs herding sheep ⋮ Towards a space mapping approach to dynamic compressor optimization of gas networks ⋮ Space mapping techniques for a structural optimization problem governed by thep-Laplace equation

Uses Software

• KELLEY
• Spacemap

This page was built for publication: Space Mapping for Optimal Control of Partial Differential Equations