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Andrea Manzoni
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Reduced basis methods for partial differential equations: an introduction
A Quarteroni, A Manzoni, F Negri
Springer, 2015
14862015
Certified reduced basis approximation for parametrized partial differential equations and applications
A Quarteroni, G Rozza, A Manzoni
Journal of Mathematics in Industry 1, 1-49, 2011
3942011
Model order reduction in fluid dynamics: challenges and perspectives
TM Lassila, A Manzoni, A Quarteroni, G Rozza
Reduced Order Methods for modeling and computational reduction 9, 235-274, 2014
3572014
Supremizer stabilization of POD–Galerkin approximation of parametrized steady incompressible Navier–Stokes equations
F Ballarin, A Manzoni, A Quarteroni, G Rozza
International Journal for Numerical Methods in Engineering 102 (5), 1136-1161, 2015
3362015
A comprehensive deep learning-based approach to reduced order modeling of nonlinear time-dependent parametrized PDEs
S Fresca, L Dede, A Manzoni
Journal of Scientific Computing 87 (61), 2020
2812020
POD-DL-ROM: Enhancing deep learning-based reduced order models for nonlinear parametrized PDEs by proper orthogonal decomposition
S Fresca, A Manzoni
Computer Methods in Applied Mechanics and Engineering 388, 114181, 2022
2682022
The cardiovascular system: mathematical modelling, numerical algorithms and clinical applications
A Quarteroni, A Manzoni, C Vergara
Acta Numerica 26, 365-590, 2017
2612017
Reduced basis approximation and error bounds for Stokes flows in parametrized geometries: roles of the inf–sup stability constants.
G Rozza, DBP Huynh, A Manzoni
Numerische Mathematik 125 (1), 115-152, 2013
204*2013
Shape optimization for viscous flows by reduced basis methods and free‐form deformation
A Manzoni, A Quarteroni, G Rozza
International Journal for Numerical Methods in Fluids 70 (5), 646-670, 2012
1882012
Efficient model reduction of parametrized systems by matrix discrete empirical interpolation
F Negri, A Manzoni, D Amsallem
Journal of Computational Physics 303, 431-454, 2015
1812015
Reduced basis method for parametrized elliptic optimal control problems
F Negri, G Rozza, A Manzoni, A Quarteroni
Siam Journal on Scientific Computing 35 (5), A2316-A2340, 2013
1682013
A reduced computational and geometrical framework for inverse problems in haemodynamics
T Lassila, A Manzoni, A Quarteroni, G Rozza
Int. J. Numer. Methods Biomed. Engrg 29 (7), 741-776, 2013
1552013
Mathematical Modelling of the Human Cardiovascular System. Data, Numerical Approximation, Clinical Applications.
A Quarteroni, L Dede’, A Manzoni, C Vergara
Cambridge University Press, 2019
1502019
Model reduction techniques for fast blood flow simulation in parametrized geometries
A Manzoni, A Quarteroni, G Rozza
International journal for numerical methods in biomedical engineering 28 (6 …, 2012
1342012
Fast simulations of patient-specific haemodynamics of coronary artery bypass grafts based on a POD–Galerkin method and a vascular shape parametrization
F Ballarin, E Faggiano, S Ippolito, A Manzoni, A Quarteroni, G Rozza, ...
Journal of Computational Physics 315, 609-628, 2016
1272016
Multi-fidelity regression using artificial neural networks: efficient approximation of parameter-dependent output quantities
M Guo, A Manzoni, M Amendt, P Conti, JS Hesthaven
Computer Methods in Applied Mechanics and Engineering 389, 114378, 2022
1152022
Reduced basis approximation of parametrized optimal flow control problems for the Stokes equations
F Negri, A Manzoni, G Rozza
Computers & Mathematics with Applications 69, 319-336, 2015
972015
Deep learning-based reduced order models in cardiac electrophysiology
S Fresca, A Manzoni, L Dedè, A Quarteroni
PLOS ONE 15 (10), e0239416, 2020
852020
Reduced Basis Isogeometric Methods (RB-IGA) for the real-time simulation of potential flows about parametrized NACA airfoils
A Manzoni, F Salmoiraghi, L Heltai
Computer Methods in Applied Mechanics and Engineering 284, 1147-1180, 2015
762015
Optimal Control of Partial Differential Equations. Analysis, Approximation, and Applications
A Manzoni, A Quarteroni, S Salsa
74*2021
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