| Title: | A generalized empirical interpolation method for direct multi-physics state reconstruction |
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| Authors: | ID Mahmudul, H. Tamim (Author)
ID Silva, Francesco A. B. (Author)
ID Krpan, Rok (Author)
ID Fiorina, Carlo (Author)
ID Ragusa, Jean (Author) |
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| Files: |  URL - Source URL, visit https://www.sciencedirect.com/science/article/pii/S0307904X26003872?via%3Dihub
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| Language: | English |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: |  IJS - Jožef Stefan Institute
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| Abstract: | 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. |
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| Keywords: | multi-physics state reconstruction, generalized empirical interpolation method, reduced-order modeling, sensor placement, data assimilation, digital twinning, nuclear reactor monitoring |
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| Publication version: | Version of Record |
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| Publication date: | 01.01.2027 |
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| Year of publishing: | 2027 |
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| Number of pages: | str. 1-18 |
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| Numbering: | Vol. 161, [article no.] 117126 |
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| UDC: | 519.6 |
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| ISSN on article: | 1872-8480 |
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| DOI: | 10.1016/j.apm.2026.117126  |
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| COBISS.SI-ID: | 282236419 |
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| Note: | Nasl. z nasl. zaslona;
Soavtor iz Slovenije: Rok Krpan;
Opis vira z dne 19. 6. 2026;
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| Publication date in DiRROS: | 23.06.2026 |
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| Views: | 19 |
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| Downloads: | 11 |
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