no code implementations • 11 Feb 2022 • Teeratorn Kadeethum, Francesco Ballarin, Daniel O'Malley, Youngsoo Choi, Nikolaos Bouklas, Hongkyu Yoon
Through a series of benchmark problems of natural convection in porous media, BT-AE performs better than the previous DL-ROM framework by providing comparable results to POD-based approaches for problems where the solution lies within a linear subspace as well as DL-ROM autoencoder-based techniques where the solution lies on a nonlinear manifold; consequently, bridges the gap between linear and nonlinear reduced manifolds.
no code implementations • 22 Sep 2021 • Federico Pichi, Francesco Ballarin, Gianluigi Rozza, Jan S. Hesthaven
This work deals with the investigation of bifurcating fluid phenomena using a reduced order modelling setting aided by artificial neural networks.
no code implementations • 12 Jan 2019 • Efthymios N. Karatzas, Francesco Ballarin, Gianluigi Rozza
This work presents a reduced order modelling technique built on a high fidelity embedded mesh finite element method.
Numerical Analysis Numerical Analysis 78M34, 97N40, 35Q35
1 code implementation • 29 Nov 2017 • Marco Tezzele, Francesco Ballarin, Gianluigi Rozza
In this chapter we introduce a combined parameter and model reduction methodology and present its application to the efficient numerical estimation of a pressure drop in a set of deformed carotids.
Numerical Analysis