Publikation:

First-order augmented Lagrangian methods for state constraint problems

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Jehle_2-1q60suvytbn4t1.pdf
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2018

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http://nbn-resolving.de/urn:nbn:de:bsz:352-2-1q60suvytbn4t1
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Open Access Green

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Mathematik und Statistik: Publikationen
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Masterarbeit/Diplomarbeit
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Zusammenfassung

In this thesis, the augmented Lagrangian method is used to solve optimal boundary control problems. The considered optimal control problem appears in energy efficient building operation and consists of a heat equation with convection along with bilateral control and state constraints. The goal is to fit the temperature (state) to a given prescribed temperature profile covering as few heating (controlling) costs as possible. Numerically, a first-order method is applied to solve the minimization problem occurring within the augmented Lagrangian algorithm. Thereto, we set up and solve the adjoint equation. Both partial differential equations, the state and the adjoint equation, are treated with the finite element Galerkin ansatz combined with an implicit Euler scheme in time. At the end, numerical tests of the created first-order augmented Lagrangian method illustrate the efficiency of the proposed strategy.

Zusammenfassung in einer weiteren Sprache

Fachgebiet (DDC)
510 Mathematik

Schlagwörter

optimal control, augmented Lagrangian method, state constraints, heat equation with convection, energy efficient building operation

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ISO 690JEHLE, Jonas Siegfried, 2018. First-order augmented Lagrangian methods for state constraint problems [Master thesis]. Konstanz: Universität Konstanz
BibTex
@mastersthesis{Jehle2018First-43402,
  year={2018},
  title={First-order augmented Lagrangian methods for state constraint problems},
  address={Konstanz},
  school={Universität Konstanz},
  author={Jehle, Jonas Siegfried}
}
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Interner Vermerk

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Kontakt
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Hochschulschriftenvermerk
Konstanz, Universität Konstanz, Masterarbeit/Diplomarbeit, 2018
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