Optimality conditions and POD a-posteriori error estimates for a semilinear parabolic optimal control

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dc.contributor.authorLass, Oliver
dc.contributor.authorTrenz, Stefan
dc.contributor.authorVolkwein, Stefan
dc.date.accessioned2015-11-30T13:16:59Z
dc.date.available2015-11-30T13:16:59Z
dc.date.issued2015eng
dc.description.abstractIn the present paper the authors consider an optimal control problem for a parametrized nonlinear parabolic differential equation, which is motivated by lithium-ion battery models. A standard finite element (FE) discretization leads to a large-scale nonlinear optimization problem so that its numerical solution is very costly. Therefore, a reduced-order modelling based on proper orthogonal decomposition (POD) is applied, so that the number of degrees of freedom is reduced significantly and a fast numerical simulation of the model is possible. To control the error, an a-posteriori error estimator is realized. Numerical experiments show the efficiency of the approach.eng
dc.description.versionpublishedeng
dc.identifier.ppn452677998
dc.identifier.urihttps://kops.uni-konstanz.de/handle/123456789/32287
dc.language.isoengeng
dc.relation.ispartofseriesKonstanzer Schriften in Mathematik
dc.rightsterms-of-use
dc.rights.urihttps://rightsstatements.org/page/InC/1.0/
dc.subjectOptimal control, semilinear parabolic differential equations, a-posteriori analysis, proper orthogonal decomposition, projected Newton methodeng
dc.subject.ddc510eng
dc.subject.msc49K20
dc.subject.msc65K10
dc.subject.msc65K30
dc.titleOptimality conditions and POD a-posteriori error estimates for a semilinear parabolic optimal controleng
dc.typeWORKINGPAPEReng
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kops.bibliographicInfo.seriesNumber345eng
kops.citation.bibtex
@techreport{Lass2015Optim-32287,
  year={2015},
  series={Konstanzer Schriften in Mathematik},
  title={Optimality conditions and POD a-posteriori error estimates for a semilinear parabolic optimal control},
  number={345},
  author={Lass, Oliver and Trenz, Stefan and Volkwein, Stefan}
}
kops.citation.iso690LASS, Oliver, Stefan TRENZ, Stefan VOLKWEIN, 2015. Optimality conditions and POD a-posteriori error estimates for a semilinear parabolic optimal controldeu
kops.citation.iso690LASS, Oliver, Stefan TRENZ, Stefan VOLKWEIN, 2015. Optimality conditions and POD a-posteriori error estimates for a semilinear parabolic optimal controleng
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