Generalized Empirical Interpolation Method With H1 Regularization: Application to Nuclear Reactor Physics
The generalized empirical interpolation method (GEIM) can be used to estimate the physical field by combining observation data acquired from the physical system itself and a reduced model of the underlying physical system. In presence of observation noise, the estimation error of the GEIM is blurred...
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Veröffentlicht in: | Frontiers in energy research 2022-01, Vol.9 |
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Hauptverfasser: | , , |
Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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Zusammenfassung: | The generalized empirical interpolation method (GEIM) can be used to estimate the physical field by combining observation data acquired from the physical system itself and a reduced model of the underlying physical system. In presence of observation noise, the estimation error of the GEIM is blurred even diverged. We propose to address this issue by imposing a smooth constraint, namely, to constrain the
H
1
semi-norm of the reconstructed field of the reduced model. The efficiency of the approach, which we will call the
H
1
regularization GEIM (R-GEIM), is illustrated by numerical experiments of a typical IAEA benchmark problem in nuclear reactor physics. A theoretical analysis of the proposed R-GEIM will be presented in future works. |
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ISSN: | 2296-598X 2296-598X |
DOI: | 10.3389/fenrg.2021.804018 |