Optimality system POD and a-posteriori error analysis for linear-quadratic problems
| dc.contributor.author | Volkwein, Stefan | |
| dc.date.accessioned | 2011-11-24T09:11:50Z | deu |
| dc.date.available | 2011-11-24T09:11:50Z | deu |
| dc.date.issued | 2011 | deu |
| dc.description.abstract | In this paper an abstract linear-quadratic optimal control problem governed by an evolution equation is considered. To solve this problem numerically a reduced-order approach based on proper orthogonal decomposition (POD) is applied. The error between the POD suboptimal control and the optimal control of the original problem is controlled by an a-posteriori error analysis. However, if the POD basis has bad approximation properties, a huge number of POD basis function is required to solve the reduced-order problem with the desired accuracy. To overcome this problem optimality system POD (OS-POD) is utilized, where the POD basis is chosen with respect to the optimization criteria. | eng |
| dc.description.version | published | |
| dc.identifier.ppn | 353933430 | deu |
| dc.identifier.uri | http://kops.uni-konstanz.de/handle/123456789/15360 | |
| dc.language.iso | eng | deu |
| dc.legacy.dateIssued | 2011-11-24 | deu |
| dc.relation.ispartofseries | Konstanzer Schriften in Mathematik | |
| dc.rights | terms-of-use | deu |
| dc.rights.uri | https://rightsstatements.org/page/InC/1.0/ | deu |
| dc.subject | Optimal control | deu |
| dc.subject | model reduction | deu |
| dc.subject | proper orthogonal decomposition | deu |
| dc.subject | a-posteriori error estimates | deu |
| dc.subject | optimality system POD | deu |
| dc.subject.ddc | 510 | deu |
| dc.title | Optimality system POD and a-posteriori error analysis for linear-quadratic problems | eng |
| dc.type | WORKINGPAPER | deu |
| dspace.entity.type | Publication | |
| kops.bibliographicInfo.seriesNumber | 291 | deu |
| kops.citation.bibtex | @techreport{Volkwein2011Optim-15360,
year={2011},
series={Konstanzer Schriften in Mathematik},
title={Optimality system POD and a-posteriori error analysis for linear-quadratic problems},
number={291},
author={Volkwein, Stefan}
} | |
| kops.citation.iso690 | VOLKWEIN, Stefan, 2011. Optimality system POD and a-posteriori error analysis for linear-quadratic problems | deu |
| kops.citation.iso690 | VOLKWEIN, Stefan, 2011. Optimality system POD and a-posteriori error analysis for linear-quadratic problems | eng |
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| kops.submitter.email | stefan.volkwein@uni-konstanz.de | deu |
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