Inria Bordeaux - France
We consider a novel reduced-order modeling strategy, termed collocation Model Order Reduction (cMOR), designed as an alternative to classical projection-based Model Order Reduction (pMOR). Like pMOR, cMOR follows an offline-online paradigm, with an offline stage devoted to the construction of a reduced basis from solution snapshots. In contrast to pMOR, where the online phase computes the reduced solution by projecting the high-fidelity residual onto the reduced space, cMOR enforces the high-fidelity discretization of the governing equations only at a small set of mesh locations, referred to as collocation points. These points are selected using hyper-reduction techniques. Within this framework, we provide a theoretical analysis of the stability and convergence properties of cMOR and illustrate the method performance through numerical examples.