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Andrea Manzoni Thesis Statements

CONTACTS

Office: MA C2 563
E-mail: andrea.manzoni@epfl.ch

Phone: +41 21 693 5509
Fax: +41 21 693 5510

Mailing address:
EPFL-SB-MATHICSE-CMCS,
Av. Piccard, Station 8,
CH-1015 Lausanne, Switzerland

 
Dr. Andrea Manzoni received B.S./M.S. in Mathematical Engineering in Mathematical Engineering (summa cum laude) from Politecnico di Milano (Italy) and Ph.D. in Mathematics from EPFL.
Before joining CMCS at EPFL as Researcher, he was PostDoctoral Research Fellow at International School for Advanced Studies in Trieste, Italy, in the SISSA MathLab group.

Curriculum Vitae: download


 

APPOINTMENTS AND AFFILIATIONS
Researcher at MATHICSE - CMCS
Lecturer at EDMA, Teaching Assistant at SMA

 

EDUCATION
 
Ph.D., Mathematics, Ecole Polytechnique Fédérale de Lausanne, 2012
M.Sc., Mathematical Engineering, Politecnico di Milano, Italy, 2008, 110/110 cum laude
M.Sc., Mathematical Engineering, Politecnico di Milano, Italy, 2006, 110/110 cum laude

 

RESEARCH INTERESTS
Reduced Basis Methods and other reduced order modeling techniques for numerical approximation of partial differential equations.
Optimal control, optimal design, inverse problems and uncertainty quantification.
Computational fluid dynamics, computational mechanics, vascular flows, heart electromechanics.

 

AWARDS, HONORS, AND DISTINCTIONS

2013

  • ECCOMAS Award for one of the two Best PhD Theses (2012) in Europe on Computational Methods in Applied Sciences and Engineering
  • Award for the Best PhD Thesis (2012) in Switzerland on Computational Methods in Applied Sciences and Engineering (Swiss nomination to the ECCOMAS Award)

2011

  • Bavarian Graduate School in Computational Engineering Student Paper Prize, 3rd Edition, awarded at SIAM Conference CS&E11 on Computational Science & Engineering, Reno, Nevada (USA)

2010

  • Prime d'enseignement, Séction de Mathématiques, EPFL
  • Best Graduate Student Prize of the year (2007-2008), Master Degree in Mathematical Engineering, Politecnico di Milano

2008

  • Best Graduate Student Prize of the year (2005-2006), Bachelor Degree in Mathematical Engineering, Politecnico di Milano

 

PUBLICATIONS (Full List: download)

 

Books

A. Quarteroni, A. Manzoni, F. Negri.Reduced Basis Methods for Partial Differential Equations. An Introduction. Springer, Unitext Series, vol. 92, 2015

 

Selected Papers

  1. A. Manzoni, L. Ponti. An adjoint-based method for the numerical approximation of shape optimization problems in presence of fluid-structure interaction. ESAIM Math. Model. Numer. Anal., accepted for publication. In press.
  2. F. Ballarin, E. Faggiano, A. Manzoni, A. Quarteroni, G. Rozza, S. Ippolito, C. Antona, R. Scrofani. A fast virtual surgery platform for many scenarios haemodynamics of patient-specific coronary artery bypass grafts. Biomech. Model. Mechanobiol., 2017, in press.
  3. E. Beretta, A. Manzoni, L. Ratti. A reconstruction algorithm based on topological gradient for an inverse problem related to a semilinear elliptic boundary value problem. Inverse Problems 33 (3), 035010, 2017. 
  4. Y. Maday, A. Manzoni, A. Quarteroni. An online intrinsic stabilization strategy for the reduced basis approximation of parametrized advection-dominated problems. C. R. Acad. Sci. Paris, Ser. I 354 (12), pp. 1188-1194, 2016. 
  5. A. Manzoni, S. Pagani, T. Lassila. Accurate solution of Bayesian inverse uncertainty quantification problems combining reduced basis methods and reduction error models. SIAM/ASA J. Uncertainty Quantification 4(1), pp. 380-412, 2016.
  6. F. Ballarin, E. Faggiano, S. Ippolito, A. Manzoni, A. Quarteroni, G. Rozza, R. Scrofani. Fast simulations of patient-specific haemodynamics of coronary artery bypass grafts based on a POD-Galerkin method and a vascular shape parametrization. J. Comp. Phys. 315, pp. 609-628, 2016.

  7. F. Negri, A. Manzoni, D. Amsallem. Efficient model reduction of parametrized systems by matrix discrete interpolation. J. Comput. Phys. 303, pp. 431-454, 2015.

  8. I. Fumagalli, A. Manzoni, N. Parolini, M. Verani. Reduced basis approximation and a posteriori error estimates for parametrized elliptic eigenvalue problems. ESAIM Math. Model. Numer. Anal., 50 (6), pp. 1857-1885, 2016.
  9. E. Beretta, M.C. Cerutti, A. Manzoni, D. Pierotti. On a semilinear elliptic boundary value problem arising in cardiac electrophysiology, Math. Mod. Meth. Applied Sci. (M3AS), 26(4), pp. 645-679, 2016.

  10. A. Manzoni, F. Negri. Heuristic strategies for the approximation of stability factors in quadratically nonlinear parametrized PDEs. Adv. Comput. Math. 41 (5), pp. 1255-1288, 2015.

  11. A. Manzoni, F. Salmoiraghi, L. Heltai. Reduced Basis Isogeometric Methods (RB-IGA) for the real-time simulation of potential flows about parametrized NACA airfoils. Comput. Meth. Appl. Mech. Engrg. 284, pp. 1147-1180, 2015. 
  12. F. Negri, A. Manzoni, G. Rozza. Reduced basis approximation of parametrized optimal flow control problems for the Stokes equations. Comput. Math. with Appl. 69, pp. 319-336, 2015. 
  13. A. Manzoni. An efficient computational framework for reduced basis approximation and a posteriori error estimation of parametrized Navier–Stokes flows. ESAIM Math. Model. Numer. Anal. 48, pp. 1199-1226, 2014. 
  14. T. Lassila, A. Manzoni, A. Quarteroni, G. Rozza. A reduced  computational and geometrical framework for inverse problems in  haemodynamics. Int. J. Numer. Methods Biomed. Engrg. 29 (7), pp. 741-776, 2013. 
  15. F. Negri, G. Rozza, A. Manzoni, A. Quarteroni. Reduced basis method for parametrized elliptic optimal control problems. SIAM J. Sci. Comput. 35 (5), pp. A2316-A2340, 2013. 
  16. G. Rozza, D.B.P Huynh, A. Manzoni. Reduced basis approximation and error bounds for Stokes flows in parametrized geometries: roles of the inf-sup stability constants. Numer. Math. 125 (1), pp. 115-152, 2013.
  17. A. Manzoni, A. Quarteroni, G. Rozza. Shape optimization for viscous flows by reduced basis methods and free-form deformation. Int. J. Numer. Meth. Fluids 70 (5), pp. 646-670, 2012.
  18. A. Manzoni, A. Quarteroni, G. Rozza. Model reduction techniques for fast blood flow simulation in parametrized geometries. Int. J. Numer. Meth. Biomed. Engng. 28 (6-7), pp. 604-625, 2012. 

Submitted Papers

  1. A. Quarteroni, A. Manzoni, C. Vergara. The Cardiovascular System: Mathematical Modeling, Numerical Algorithms, Clinical Applications. MOX Report 38.2016. 
  2. E. Beretta, C. Cavaterra, M.C. Cerutti, A. Manzoni, L. Ratti. On the inverse problem of detecting cardiac ischemias: theoretical analysis and numerical reconstruction. arXiv:1701.07809
  3. N. Dal Santo, S. Deparis, A. Manzoni, A. Quarteroni. Multi space reduced basis preconditioners for large-scale parametrized PDEs. Mathicse Report 32.2016.
  4. S. Pagani, A. Manzoni, A. Quarteroni. A reduced basis ensemble Kalman filter for state/parameter identification in large-scale nonlinear dynamical systems. Mathicse Report 18.2016.
  5. D. Bonomi, A. Manzoni, A. Quarteroni. A matrix discrete empirical interpolation method for the efficient model reduction of parametrized nonlinear PDEs: application to nonlinear elasticity problems. MOX Report 14.2016.
  6. A. Manzoni, S. Pagani. A certified reduced basis method for PDE-constrained parametric optimization problems by an adjoint-based approach. Mathicse Report 15.2015.
     

Review Papers on Reduced Basis Methods

  1. A. Quarteroni, G. Rozza, A. Manzoni. Certified reduced basis approximation for parametrized partial differential equations & applications. J. Math. Ind. 2011, 1:3.
  2. T. Lassila, A. Manzoni, A. Quarteroni, G. Rozza. Model order reduction in fluid dynamics: challenges and perspectives. In Reduced Order Methods for Modeling and Computational Reduction, A. Quarteroni & G. Rozza (Eds.), Springer MS&A Series, Vol.9, pp. 235-274, 2014.
  3. A. Manzoni, F. Negri, A. Quarteroni. Dimensionality reduction of parameter-dependent problems through proper orthogonal decomposition. Ann. Math. Sci. Appl. 1(2), pp. 341-377, 2016.



TEACHING

2016-2017

 

  • Lecturer, Séction de Mathématiques, Master Program in Computational Science & Engineering, EPFL 
    Class: Numerical Analysis & Computational Mathematics
  • Lecturer, Course on “Functional, geometric, and algebraic reduction strategies for large-scale computing”, program "Numerical methods for PDEs”, Institut Henri Poincaré Paris (France)
  •  

2015-2016

  • Lecturer, Ecole Doctorale, Mathématiques (EDMA), EPFL
    Doctoral Class on Reduced order modelling for parametrized systems
  • Lecturer, Ecole Doctorale, Mathématiques (EDMA), EPFL
    Doctoral Class on Optimal control of systems governed by PDEs
  • Teaching Assistant, class: Numerical Analysis and Computational Mathematics, Master Program in Computational Science & Engineering, EPFL

2014-2015

  • Lecturer, Ecole Doctorale, Mathématiques (EDMA), EPFL
    Doctoral Class on Reduced order modelling for parametrized systems
  • Senior Teaching Assistant, class: Analysis I, Bachelor Program in Engineering, EPFL

2013-2014

  • Tutorial at Summer School on "Reduced Basis Methods - Fundamentals and Applications", 
    Center for Mathematical Sciences, Technische Universität München (Germany)
  • Module on Shape Optimization problems, class: Partial Differential Equations II, Politecnico di Milano, 
    Master Program in Mathematical Engineering.
  • Teaching Assistant (tutor), class: Partial Differential Equations II, Politecnico di Milano, Master Program in Mathematical Engineering.

2012-2013

  • Module on Shape Optimization problems, class: Partial Differential Equations II, Politecnico di Milano, 
    Master Program in Mathematical Engineering.

2011-2012

  • Teaching Assistant, class: Introduction to the Finite Element Method, Bachelor/Master Program in Mathematics and Computer Science, EPFL
  • Teaching Assistant, class: Numerical Analysis, Bachelor Program in Mathematics, EPFL

2010-2011

  • Teaching Assistant, class: Introduction to the Finite Element Method, Bachelor/Master Program in Mathematics and Computer Science, EPFL
  • Teaching Assistant, class: Numerical Analysis, Bachelor Program in Mathematics, EPFL

2009-2010

  • Teaching Assistant, class: Introduction to the Finite Element Method, Bachelor/Master Program in Mathematics and Computer Science, EPFL
  • Teaching Assistant, class: Numerical Analysis, Bachelor Program in Mathematics, EPFL
  • Module on Shape Optimization problems, class: Partial Differential Equations II, Politecnico di Milano, 
    Master Program in Mathematical Engineering.

2008-2009

  • Teaching Assistant, class: Numerical Analysis, Bachelor Program in Mathematics, EPFL

 

 

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Co-authors

  • Alfio QuarteroniProfessor of Mathematics, EPFL, LausanneVerified email at epfl.ch
  • Gianluigi RozzaAssociate Professor of Numerical Analysis, SISSA, Int. School for Adv. Studies, Italy and ERC PIVerified email at sissa.it
  • Federico NegriSoftware Developer, Ansys SwitzerlandVerified email at alumni.epfl.ch
  • Toni LassilaUniversity of SheffieldVerified email at sheffield.ac.uk
  • Francesco BallarinSISSA mathLab, International School for Advanced StudiesVerified email at sissa.it
  • Stefano PaganiPost-doctoral researcher SB-MATH-CMCS - Chair of Modelling and Scientific ComputingVerified email at epfl.ch
  • Elena BerettaProfessore Associato, Politecnico di MilanoVerified email at polimi.it
  • Roberto ScrofaniCardiovascular Unit, Luigi Sacco Hospital, Milano, ItalyVerified email at hsacco.it
  • David AmsallemData Science Manager, FacebookVerified email at stanford.edu
  • Sandro SalsaPolitecnico di MilanoVerified email at polimi.it
  • Luca HeltaiRicercatore di ruolo in Analisi Numerica, Scuola Internazionale Superiore di Studi AvanzatiVerified email at sissa.it
  • Filippo SalmoiraghiResearch fellow, International School for Advanced StudiesVerified email at sissa.it
  • madayProfesseur de mathématiques appliquées, Université Pierre et Marie Curie, Laboratoire J.-L. LionsVerified email at ann.jussieu.fr
  • Marco VeraniMOX-Department of Mathematics, Politecnico of Milan, ItalyVerified email at polimi.it
  • Nicola ParoliniMOX, Dipartimento di Matematica, Politecnico di MilanoVerified email at polimi.it