Journal
FRONTIERS IN ENERGY RESEARCH
Volume 9, Issue -, Pages -Publisher
FRONTIERS MEDIA SA
DOI: 10.3389/fenrg.2021.804018
Keywords
generalized empirical interpolation method; model order reduction; observations; regularization; nuclear reactor physics
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The generalized empirical interpolation method (GEIM) is used to estimate the physical field by combining observation data and a reduced model of the physical system. The efficiency of the approach is demonstrated through numerical experiments on a benchmark problem in 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 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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