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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
9782015
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
3352011
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
2432014
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
2422015
The cardiovascular system: mathematical modelling, numerical algorithms and clinical applications
A Quarteroni, A Manzoni, C Vergara
Acta Numerica 26, 365-590, 2017
1832017
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
174*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
1582012
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
1402015
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
1382013
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
1382013
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
1202012
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
1052016
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
1042020
Mathematical Modelling of the Human Cardiovascular System. Data, Numerical Approximation, Clinical Applications.
A Quarteroni, L Dede’, A Manzoni, C Vergara
Cambridge University Press, 2019
912019
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
782015
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
772022
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
692015
Accurate solution of Bayesian inverse uncertainty quantification problems combining reduced basis methods and reduction error models
A Manzoni, S Pagani, T Lassila
SIAM/ASA Journal on Uncertainty Quantification 4 (1), 380-412, 2016
65*2016
An efficient computational framework for reduced basis approximation and a posteriori error estimation of parametrized Navier-Stokes flows
A Manzoni
ESAIM: Mathematical Modelling and Numerical Analysis 48 (4), 1199-1226, 2014
612014
Computational reduction for parametrized PDEs: strategies and applications
A Manzoni, A Quarteroni, G Rozza
Milan Journal of Mathematics 80, 283-309, 2012
602012
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