Séminaire Doctorants
organisé par l'équipe DOCT
-
Hassan Ballout
Reduced Basis Method for Parametric PDEs
13 novembre 2025 - 16:30Salle de conférences IRMA
Parametric partial differential equations arise in many fields of science and engineering. Solving such PDEs for a large number of parameter values using classical high-fidelity numerical methods is often computationally expensive or even infeasible. This motivates the use of model order reduction techniques, which aim to construct low-dimensional surrogate models that preserve the essential behavior of the system. In this presentation, we introduce the classical linear Reduced Basis Method and discuss its main limitations. We then explore several nonlinear approaches designed to overcome these limitations and achieve improved efficiency and accuracy.