Numerical Analysis School 2024: Reduced Order Models - Bridging PDE Models and Simulation Data

1 Jul 2024, 09:00 → 5 Jul 2024, 17:00 UTC

Initially, a general introduction to reduced modeling will be provided, emphasizing “projection-based” methods for elliptic or nonlinear hyperbolic problems.

Subsequently, challenges related to approximating solutions with essentially local spatial and temporal characteristics will be explored in detail. Various methodologies to overcome these challenges will be outlined, including nonlinear approximation techniques for dealing with fields where the movement of coherent structures is dominant.

Moreover, hybrid and multiscale formulations, combining reduced and full-order models, will be presented to optimally address locally complex solutions and complex geometric parameterizations.

Techniques such as Dynamic Mode Decomposition (DMD) and subspace interpolation will be discussed in this context.

More info / register : https://ecoles-cea-edf-inria.fr/en/schools/ecole-analyse-numerique-2024/