Before revision: We present a non-intrusive reduced basis method (RBM) for unsteady non-linear parametrized partial differential equations (PDEs)based on proper orthogonal decomposition (POD) with regression .
After revision: We present a non-intrusive reduced basis method (RBM) for unsteady non-linear material models and coupling with the heat equation alongside intricate mesh deformations, which is a comparatively complex scenario. We investigate how a non-intrusive, data-driven ROM can be constructed for this application. We focus on the well-established proper orthogonal decomposition (POD) with regression .