Error estimates for POD-DL-ROMs: a deep learning framework for reduced order modeling of nonlinear parametrized PDEs enhanced by proper orthogonal decomposition

DOI10.1007/S10444-024-10110-1arXiv2305.04680MaRDI QIDQ6435760

Simone Brivio, Andrea Manzoni, Nicola Rares Franco, Stefania Fresca

Publication date: 8 May 2023

Mathematics Subject Classification ID

Artificial neural networks and deep learning (68T07) Numerical computation of solutions to systems of equations (65H10) Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

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