BERGMANN, Michel; COLIN, Thierry; IOLLO, Angelo; LOMBARDI, Damiano; SAUT, Olivier; TELIB, Haysam

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BERGMANN, Michel
Institut de Mathématiques de Bordeaux [IMB]
Modélisation, contrôle et calcul [MC2]

COLIN, Thierry
Institut de Mathématiques de Bordeaux [IMB]
Modélisation, contrôle et calcul [MC2]

IOLLO, Angelo
Modélisation, contrôle et calcul [MC2]

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Modeling, Simulation and Applications, Modeling, Simulation and Applications. 2013, vol. 9

Springer

Resumen en inglés

We review a few applications of reduced-order modeling in aeronautics and medicine. The common idea is to determine an empirical approximation space for a model described by partial differential equations. The empirical approximation space is usually spanned by a small number of global modes. In case of periodic or mainly diffusive phenomena it is shown that this approach can lead to accurate fast simulations of complex problems. In other cases, models based on definition of transport modes significantly improve the accuracy of the reduced model.< Leer menos

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Institut de Mathématiques de Bordeaux (IMB) - UMR 5251