Optimal control and model-order reduction of an abstract parabolic system containing a controlled bilinear form : Applied to the example of a controlled advection term in an advection-diffusion equation
| dc.contributor.author | Banholzer, Stefan | |
| dc.contributor.author | Beermann, Dennis | |
| dc.date.accessioned | 2016-12-19T08:27:01Z | |
| dc.date.available | 2016-12-19T08:27:01Z | |
| dc.date.issued | 2016 | eng |
| dc.description.abstract | In the present paper, a linear parabolic evolution equation is considered whose bilinear form is controlled from a general Banach space. The control-to-state operator and some important properties thereof are presented. For a quadratic objective function, the gradient in the control space is derived. A-posteriori error estimators are presented for a given reduced-order model (ROM) with respect to both the cost function and the gradient. | eng |
| dc.description.version | published | eng |
| dc.identifier.ppn | 481075070 | |
| dc.identifier.uri | https://kops.uni-konstanz.de/handle/123456789/36389 | |
| dc.language.iso | eng | eng |
| dc.rights | terms-of-use | |
| dc.rights.uri | https://rightsstatements.org/page/InC/1.0/ | |
| dc.subject | Partial differential equations, optimal control, reduced-order modelling, a-posteriori error analysis | eng |
| dc.subject.ddc | 510 | eng |
| dc.title | Optimal control and model-order reduction of an abstract parabolic system containing a controlled bilinear form : Applied to the example of a controlled advection term in an advection-diffusion equation | eng |
| dc.type | PREPRINT | eng |
| dspace.entity.type | Publication | |
| kops.citation.bibtex | @unpublished{Banholzer2016Optim-36389,
year={2016},
title={Optimal control and model-order reduction of an abstract parabolic system containing a controlled bilinear form : Applied to the example of a controlled advection term in an advection-diffusion equation},
author={Banholzer, Stefan and Beermann, Dennis},
note={The present document contains extensive theoretical analysis which is needed for an upcoming article in cooperation with researchers from the Paderborn University.}
} | |
| kops.citation.iso690 | BANHOLZER, Stefan, Dennis BEERMANN, 2016. Optimal control and model-order reduction of an abstract parabolic system containing a controlled bilinear form : Applied to the example of a controlled advection term in an advection-diffusion equation | deu |
| kops.citation.iso690 | BANHOLZER, Stefan, Dennis BEERMANN, 2016. Optimal control and model-order reduction of an abstract parabolic system containing a controlled bilinear form : Applied to the example of a controlled advection term in an advection-diffusion equation | eng |
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| kops.description.comment | The present document contains extensive theoretical analysis which is needed for an upcoming article in cooperation with researchers from the Paderborn University. | eng |
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