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Naslov:A generalized empirical interpolation method for direct multi-physics state reconstruction
Avtorji:ID Mahmudul, H. Tamim (Avtor)
ID Silva, Francesco A. B. (Avtor)
ID Krpan, Rok (Avtor)
ID Fiorina, Carlo (Avtor)
ID Ragusa, Jean (Avtor)
Datoteke:URL URL - Izvorni URL, za dostop obiščite https://www.sciencedirect.com/science/article/pii/S0307904X26003872?via%3Dihub
 
Jezik:Angleški jezik
Tipologija:1.01 - Izvirni znanstveni članek
Organizacija:Logo IJS - Institut Jožef Stefan
Povzetek:Reconstructing a coupled multi-physics state from sparse and heterogeneous measurements is central to real-time monitoring and digital twinning, yet it is challenging when only a subset of fields is observable and sensors operate over field-dependent regions. This work introduces the Multi-field Generalized Empirical Interpolation Method, which extends the Generalized Empirical Interpolation Method to product spaces by treating the full coupled state as a single element of a multi-field Hilbert space while allowing measurements to be selected across multiple fields and sensing modalities. In the offline phase, the Multi-field Generalized Empirical Interpolation Method constructs a reduced basis and a corresponding set of measurement functionals through a greedy procedure that (i) simultaneously identifies the global basis function and the field to be sensed and (ii) improves numerical robustness by applying an explicit scaling factor to each selected measurement functional. In the online phase, the method reconstructs all fields, including unmeasured ones, by solving a small interpolation system from noisy measurements. Global and field-wise stability measures (Lebesgue constants) and trace-based noise-amplification indicators are also introduced to provide an exact characterization of the expected mean-square contribution of Gaussian measurement perturbations. Numerical experiments on a two-dimensional molten salt reactor benchmark demonstrate accurate reconstruction under realistic observability constraints and quantify the trade-off between reduced-space approximation and noise sensitivity.
Ključne besede:multi-physics state reconstruction, generalized empirical interpolation method, reduced-order modeling, sensor placement, data assimilation, digital twinning, nuclear reactor monitoring
Verzija publikacije:Objavljena publikacija
Datum objave:01.01.2027
Leto izida:2027
Št. strani:str. 1-18
Številčenje:Vol. 161, [article no.] 117126
UDK:519.6
ISSN pri članku:1872-8480
DOI:10.1016/j.apm.2026.117126 Novo okno
COBISS.SI-ID:282236419 Novo okno
Opomba:Nasl. z nasl. zaslona; Soavtor iz Slovenije: Rok Krpan; Opis vira z dne 19. 6. 2026;
Datum objave v DiRROS:23.06.2026
Število ogledov:13
Število prenosov:9
Metapodatki:XML DC-XML DC-RDF
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Gradivo je del revije

Naslov:Applied mathematical modelling
Založnik:Elsevier
ISSN:1872-8480
COBISS.SI-ID:175277059 Novo okno

Gradivo je financirano iz projekta

Financer:Drugi - Drug financer ali več financerjev
Program financ.:University of Texas at Austin
Številka projekta:UTAUS-SUB00001305
Naslov:-

Licence

Licenca:CC BY-NC-ND 4.0, Creative Commons Priznanje avtorstva-Nekomercialno-Brez predelav 4.0 Mednarodna
Povezava:http://creativecommons.org/licenses/by-nc-nd/4.0/deed.sl
Opis:Najbolj omejujoča licenca Creative Commons. Uporabniki lahko prenesejo in delijo delo v nekomercialne namene in ga ne smejo uporabiti za nobene druge namene.

Sekundarni jezik

Jezik:Slovenski jezik
Ključne besede:rekonstrukcija večfizikalnega stanja, generalizirana empirična interpolacijska metoda, modeliranje z reduciranimi modeli, postavitev senzorjev, asimilacija podatkov, digitalni dvojček, nadzor jedrskega reaktorja


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