50 citations · 126 across the 13 of their papers we have counts for
14 papers
A two stages Deep Learning Architecture for Model Reduction of Parametric Time-Dependent Problems
Isabella Carla Gonnella, Martin W. Hess, Giovanni Stabile +1
Parametric time-dependent systems are of a crucial importance in modeling real phenomena, often characterized by non-linear behaviors too. Those solutions are typically difficult t…
Data-Driven Enhanced Model Reduction for Bifurcating Models in Computational Fluid Dynamics
Martin W. Hess, Annalisa Quaini, Gianluigi Rozza
We investigate various data-driven methods to enhance projection-based model reduction techniques with the aim of capturing bifurcating solutions. To show the effectiveness of the…
Model Reduction Using Sparse Polynomial Interpolation for the Incompressible Navier-Stokes Equations
Martin W. Hess, Gianluigi Rozza
This work investigates the use of sparse polynomial interpolation as a model order reduction method for the incompressible Navier-Stokes equations. Numerical results are presented…
A Data-Driven Surrogate Modeling Approach for Time-Dependent Incompressible Navier-Stokes Equations with Dynamic Mode Decomposition and Manifold Interpolation
Martin W. Hess, Annalisa Quaini, Gianluigi Rozza
This work introduces a novel approach for data-driven model reduction of time-dependent parametric partial differential equations. Using a multi-step procedure consisting of proper…
Reduced order modeling for spectral element methods: current developments in Nektar++ and further perspectives
Martin W. Hess, Andrea Lario, Gianmarco Mengaldo +1
In this paper, we present recent efforts to develop reduced order modeling (ROM) capabilities for spectral element methods (SEM). Namely, we detail the implementation of ROM for bo…
A Comparison of Reduced-Order Modeling Approaches Using Artificial Neural Networks for PDEs with Bifurcating Solutions
Martin W. Hess, Annalisa Quaini, Gianluigi Rozza
This paper focuses on reduced-order models (ROMs) built for the efficient treatment of PDEs having solutions that bifurcate as the values of multiple input parameters change. First…