dc.identifier.uri |
http://dx.doi.org/10.15488/17189 |
|
dc.identifier.uri |
https://www.repo.uni-hannover.de/handle/123456789/17317 |
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dc.contributor.author |
Fischer, Hendrik
|
|
dc.contributor.author |
Roth, Julian
|
|
dc.contributor.author |
Wick, Thomas
|
|
dc.contributor.author |
Chamoin, Ludovic
|
|
dc.contributor.author |
Fau, Amelie
|
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dc.date.accessioned |
2024-04-25T06:46:55Z |
|
dc.date.available |
2024-04-25T06:46:55Z |
|
dc.date.issued |
2024 |
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dc.identifier.citation |
Fischer, H.; Roth, J.; Wick, T.; Chamoin, L.; Fau, A.: MORe DWR: Space-time goal-oriented error control for incremental POD-based ROM for time-averaged goal functionals. In: Journal of Computational Physics 504 (2024), 112863. DOI: https://doi.org/10.1016/j.jcp.2024.112863 |
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dc.description.abstract |
In this work, the dual-weighted residual (DWR) method is applied to obtain an error-controlled incremental proper orthogonal decomposition (POD) based reduced order model. A novel approach called MORe DWR (Model Order Reduction with Dual-Weighted Residual error estimates) is being introduced. It marries tensor-product space-time reduced-order modeling with time slabbing and an incremental POD basis generation with goal-oriented error control based on dual-weighted residual estimates. The error in the goal functional is being estimated during the simulation and the POD basis is being updated if the estimate exceeds a given threshold. This allows an adaptive enrichment of the POD basis in case of unforeseen changes in the solution behavior. Consequently, the offline phase can be skipped, the reduced-order model is being solved directly with the POD basis extracted from the solution on the first time slab and –if necessary– the POD basis is being enriched on-the-fly during the simulation with high-fidelity finite element solutions. Therefore, the full-order model solves can be reduced to a minimum, which is demonstrated on numerical tests for the heat equation and elastodynamics using time-averaged quantities of interest. |
eng |
dc.language.iso |
eng |
|
dc.publisher |
Amsterdam : Elsevier |
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dc.relation.ispartofseries |
Journal of Computational Physics 504 (2024) |
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dc.rights |
CC BY 4.0 Unported |
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dc.rights.uri |
https://creativecommons.org/licenses/by/4.0 |
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dc.subject |
Dual-weighted residual method |
eng |
dc.subject |
Goal-oriented error control |
eng |
dc.subject |
Incremental proper orthogonal decomposition |
eng |
dc.subject |
Tensor-product space-time reduced-order modeling |
eng |
dc.subject.ddc |
530 | Physik
|
|
dc.subject.ddc |
510 | Mathematik
|
|
dc.subject.ddc |
000 | Informatik, Wissen, Systeme
|
|
dc.title |
MORe DWR: Space-time goal-oriented error control for incremental POD-based ROM for time-averaged goal functionals |
eng |
dc.type |
Article |
|
dc.type |
Text |
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dc.relation.essn |
1090-2716 |
|
dc.relation.issn |
0021-9991 |
|
dc.relation.doi |
https://doi.org/10.1016/j.jcp.2024.112863 |
|
dc.bibliographicCitation.volume |
504 |
|
dc.bibliographicCitation.firstPage |
112863 |
|
dc.description.version |
publishedVersion |
eng |
tib.accessRights |
frei zug�nglich |
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dc.bibliographicCitation.articleNumber |
112863 |
|