POD-based mixed-integer optimal control of the heat equation

DOI10.1007/s10915-019-00924-3zbMath1430.49023OpenAlexW2621387657MaRDI QIDQ2333685

Dennis Beermann, Freya Bachmann, Jianjie Lu, Stefan Volkwein

Publication date: 13 November 2019

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: http://nbn-resolving.de/urn:nbn:de:bsz:352-0-408645

zbMATH Keywords

optimal controlerror analysismixed-integer programmingbranch-and-bound methodPDE-constrained optimizationproper orthogonal decomposition (POD)

Mathematics Subject Classification ID

Mixed integer programming (90C11) Optimality conditions for problems involving partial differential equations (49K20) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30)

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A Simplified Newton Method to Generate Snapshots for POD Models of Semilinear Optimal Control Problems ⋮ POD-Based Mixed-Integer Optimal Control of Evolution Systems ⋮ An improved penalty algorithm using model order reduction for MIPDECO problems with partial observations

Uses Software

• KELLEY

Cites Work

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