Colloque - Angelo Iollo : Collocated Reduced-Order Models for High-Order Schemes: Analysis and Application

Yvon MadayChaire Informatique et sciences numériquesCollège de FranceAnnée 2025-2026Colloque : Aspects mathématiques et appliqués des méthodes de réduction de complexity - Angelo Iollo : Collocated Reduced-Order Models for High-Order Schemes: Analysis and ApplicationAngelo IolloInstitut de Mathématiques de Bordeaux, université de Bordeaux & équipe-projet commune MONHADE Inria - Onera - université de BordeauxRésuméIn this talk, I will present Collocated Model Order Reduction (cMOR), a novel hyper-reduction framework specifically designed for high-order discretizations. The method evaluates the governing operator exclusively on a small subset of collocation points, identified via Non-Negative Least Squares (NNLS) sparse quadrature. By combining a restricted POD basis with carefully constructed prolongation and interpolation operators, cMOR enables sparse yet accurate residual evaluation while preserving key structural properties of the underlying scheme.