Sequential Reduced-Order Modeling for Time-Dependent Optimization Problems with Initial Value Controls

DOI10.1007/978-3-319-75319-5_4zbMath1419.49036OpenAlexW2797789593WikidataQ58047815 ScholiaQ58047815MaRDI QIDQ5225298

Dörte Jando, Matthias Heinkenschloss

Publication date: 19 July 2019

Published in: Reduced-Order Modeling (ROM) for Simulation and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-75319-5_4

zbMATH Keywords

reduced-order modelsHessian approximationlinear quadratic optimal controlinitial-condition problemssequential reduced-order models

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical methods based on necessary conditions (49M05) Linear-quadratic optimal control problems (49N10) Iterative numerical methods for linear systems (65F10)

Uses Software

• ARPACK

Cites Work

• Unnamed Item
• Handbook of numerical analysis. Vol XIV. Special volume: Computational methods for the atmosphere and the oceans.
• A time-parallel approach to strong-constraint four-dimensional variational data assimilation
• Direct and Indirect Multiple Shooting for Parabolic Optimal Control Problems
• Model Order Reduction for PDE Constrained Optimization
• POD-Galerkin approximations in PDE-constrained optimization
• Reduced Order Modeling for Time-Dependent Optimization Problems with Initial Value Controls
• Efficiency of a POD-based reduced second-order adjoint model in 4D-Var data assimilation
• Optimization with PDE Constraints
• Hessian-based model reduction for large-scale systems with initial-condition inputs
• Mesh adaptive multiple shooting for partial differential equations. Part I: linear quadratic optimal control problems
• ARPACK Users' Guide

This page was built for publication: Sequential Reduced-Order Modeling for Time-Dependent Optimization Problems with Initial Value Controls