POD a-posteriori error analysis for optimal control problems with mixed control-state constraints

DOI10.1007/s10589-014-9636-1zbMath1302.49039OpenAlexW2114809424MaRDI QIDQ457230

Stefan Volkwein, Martin Gubisch

Publication date: 26 September 2014

Published in: Computational Optimization and Applications (Search for Journal in Brave)

Full work available at URL: http://nbn-resolving.de/urn:nbn:de:bsz:352-229199

zbMATH Keywords

optimal controlproper orthogonal decompositionmodel reductiona posteriori error estimateslinear-quadratic problems

Mathematics Subject Classification ID

Linear-quadratic optimal control problems (49N10) Decomposition methods (49M27) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)

Related Items (7)

A new approach to improve ill-conditioned parabolic optimal control problem via time domain decomposition ⋮ An algorithmic comparison of the hyper-reduction and the discrete empirical interpolation method for a nonlinear thermal problem ⋮ A-Posteriori Error Estimation of Discrete POD Models for PDE-Constrained Optimal Control ⋮ Parameter identification for nonlinear elliptic-parabolic systems with application in lithium-ion battery modeling ⋮ Local improvements to reduced-order approximations of optimal control problems governed by diffusion-convection-reaction equation ⋮ A certified RB method for PDE-constrained parametric optimization problems ⋮ POD-Based Augmented Lagrangian Method for State Constrained Heat-Convection Phenomena

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