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Gianluigi Rozza
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Chair of Modelling and Scientific Computing
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Senior Research Assistant; M.S. Aerospace Engineer, PhD Comp.Science & Eng.
birth date: 20.04.1977
nationality: Italian
web site: http://iacs.epfl.ch/~rozza
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office(s):
MAB2524
phone(s): [+41 21 69] 34267
fax: 34303
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RESEARCH
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Real-time continuum mechanics computation. Reduced basis approximation and a posteriori error estimation for parametrized partial differential equations.
http://augustine.mit.edu
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MISSION
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2009-present: Lecturer at the Doctoral School of Mathematics of EPFL.
2006-present: Affiliate Researcher at MIT.
2009-2012: Task Coordinator in the ERC-MathCard Project: Mathematical Modelling and Simulation of the Cardiovascular System, task on Efficient Methods for Control and Optimization.
2009-2011:Co-applicant in the SNSF (Swiss National Science Foundation) Project: Reduced basis methods for the optimization of complex systems.
2002-2006: EU-RTN Project Haemodel. Mathematical Modelling and Numerical simulation for the Cardiovascular System.
2003-2006: Collaboration for Aerodynamic Modelling and Numerical simulation Solar Impulse Project.
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BIOGRAPHY
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[June 2009] Springer Computational Science and Engineering Prize 2009 with C.N.Nguyen and D.B.P. Huynh.
[September 2008] Cited in the 63rd Edition of "Who's who in America" and in 25th the Edition of "Who's who in the World".
[May 2008] Research Scientist and Lecturer at the Doctoral School of EPFL
[September 2007] Cited in the 10th Edition of "Who's who in Science and Engineering 2008-09".
[November 2006] Special mention for PhD Thesis by VPAA of EPFL.
[September 2006] ECCOMAS (European Community on Computational Methods in Applied Science) PhD Award for the best PhD thesis of 2005 on Computational Methods in Applied Sciences and Engineering.
[May 2006]-April 2008] Post-Doc Associate Researcher at MIT.
[June 2005] Third MIT Conference on Computational Fluid and Solid Mechanics Young Researcher Fellowship Award.
[April 2004] Bill Morton CFD Prize 2004, University of Oxford (UK), Institute for CFD.
[Spring 2003] MIT, Massachusetts Institute of Technology, Mech. Eng. Dpt, Fluids Laboratory, Cambridge MA (USA)
[2002-2005] EPFL, Doctoral School, Mathematical Modelling and Scientific Computing.
[1996-2001] Politecnico di Milano (Italy), Master degree Aerospace Engineering, Aerodynamics.
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MAIN PUBLICATIONS
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G. Rozza, T. Lassila, and A. Manzoni.
Reduced basis approximation for shape optimization in thermal flows
with a parametrized polynomial geometric map.
In E. Ronquist, editor, Lecture Notes in Computational
Science and Engineering, Lecture Notes in Computational Science and
Engineering, Heildeberg, 2010. Springer.
EPFL MATHICSE report 02.2010.
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T. Lassila and G. Rozza.
Parametric free-form shape design with PDE models and reduced basis
method.
Computer Methods in Applied Mechanics and Engineering,
2010.
EPFL MATHICSE report 01.2010.
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Z. Xuan, T. Lassila, G. Rozza, and A. Quarteroni.
Computing upper and lower bounds for linear outputs of elasticity by
the smoothed finite element method.
Int. J. Numer. Meth. Engng., 2010.
previously IACS report 07.2009.
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C. Nguyen, G. Rozza, D. P. Huynh, and A. T. Patera.
Reduced basis approximation and a posteriori error estimation for
parametrized parabolic PDEs; Application to real-time Bayesian
parameter estimation.
In L. Tenorio, B. van Bloemen Waanders, B. Mallick, K. Willcox,
L. Biegler, G. Biros, O. Ghattas, M. Heinkenschloss, and D. Keyes, editors,
Computational Methods for Large Scale Inverse Problems and
Uncertainty Quantification. John Wiley & Sons, UK, 2010.
EPFL-IACS report 11.2008.
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G. Rozza.
An introduction to reduced basis method for parametrized PDEs.
In E. De Bernardis, R. Spiegler, and V. Valente, editors,
Applied and Industrial Mathematics in Italy, volume III of
Advances in Mathematics for Applied Sciences, pages 508-519, Singapore,
2009. WorldScientific.
EPFL-IACS report 01.09, peer reviewed.
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G. Rozza, N. C. Nguyen, A. T. Patera, and S. Deparis.
Reduced Basis Methods and A Posteriori Error Estimators
for Heat Transfer Problems.
In Proceedings of the ASME HT 2009 summer conference, Heat
Transfer Confererence, New York, 2009. ASME.
presented in the Computational Section of the conference. EPFL-IACS
report 05.2009, peer reviewed.
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G. Rozza, D. P. Huynh, N. C. Nguyen, and A. T. Patera.
Real-Time Reliable Simulation of Heat Transfer Phenomena.
In Proceedings of the ASME HT 2009 summer conference, Heat
Transfer Confererence, NewYork, 2009. ASME.
presented in the Educational Section of the conference. EPFL-IACS
report 06.2009, peer reviewed.
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G. Rozza and A. Quarteroni.
Reduced basis approximation for parametrized partial differential
equations.
In E. Zuazua, C. Le Bris, A. Patera, A. Quarteroni, and T. Hou,
editors, Numerical Models for Differential Equations, volume
Chapter 18 of MS&A, Modelling, Simulation and Application, pages
556-587. Springer, Heildelberg, 2009.
EPFL-IACS report 04.2009.
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S. Deparis and G. Rozza.
Reduced basis method for multi-parameter dependent steady
Navier-Stokes equations: applications to natural convection in a cavity.
Journal of Computational Physics, 228(12):4359-4378, 2009.
EPFL-IACS report 12.2008.
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N. C. Nguyen, G. Rozza, and A. T. Patera.
Reduced Basis Approximation and A Posteriori Error
Estimation for the Time- Dependent Viscous Burgers Equation.
Calcolo, 46(3):157-185, 2009.
previously EPFL-IACS Report 10.2008.
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G. Rozza.
Reduced basis methods for Stokes equations in domains with
non-affine parameter dependence.
Computing and Visualization in Science, 12(1):23-35, 2009.
published online since November 2006.
[ Details |
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G. Grandperrin.
Introduction a la methode des bases reduites.
Reduced Basis method elliptic coercive partial differential
equations, 2008.
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C. Gunther, G. d. Rozza, S. d. Deparis, A. d. Quarteroni, and M. d. Behr.
Reduced basis method for the shape optimization of racing car
components.
Claudia Gunther has been at EPFL as visiting master degree student
from University of Aachen (Germany), 2008.
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R. Milani, A. Quarteroni, and G. Rozza.
Reduced basis method for linear elasticity problems with many
parameters.
Computational Methods in Applied Mechanics and
Engineering, 197(51-52):4812-4829, 2008.
EPFL-IACS report 03.2008.
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B. Haasdonk, M. Ohlberger, and G. Rozza.
A Reduced Basis Method for Evolution Schemes with
Parameter-Dependent Explicit Operators.
ETNA, Electronic Transactions on Numerical Analysis,
32:145-168, 2008.
Previously EPFL-IACS report 09.2008. Selected Paper from the 20th
Chemnitz Finite Element Symposium, special issue on new developments in the
field of numerical methods for partial differential equations and their
applications.
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G. Rozza, D. B. P. Huynh, and A. T. Patera.
Reduced basis approximation and a posteriori error estimation for
affinely parametrized elliptic coercive partial differential equations:
Application to transport and continuum mechanics.
Archives of Computational Methods in Engineering,
15(3):229-275, 2008.
Invited review paper on the occasion of the ECCOMAS PhD Award
received by the first author in 2006.
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R. Milani.
Metodi a basi ridotte per la risoluzione di problemi parametrizzati
in elasticita' lineare.
Master thesis developed at EPFL in the framework of EU Socrates
Project when the author was student at Politecnico di Milano and at EPFL as
visiting/ international exchange student., 2007.
[ Details |
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A. T. Patera and G. Rozza.
Reduced Basis Approximation and A Posteriori Error
Estimation for Parametrized Partial Differential Equations.
MIT-Pappalardo Graduate Monographs in Mechanical Engineering. (C)
MIT, Massachusetts Institute of Technology, Cambridge, MA, US, 2007.
Please cite as: A.T. Patera and G. Rozza, Reduced Basis Approximation
and A Posteriori Error Estimation for Parametrized Partial Differential
Equations, Version 1.0, Copyright MIT 2006–2007, to appear in (tentative
rubric) MIT Pappalardo Graduate Monographs in Mechanical Engineering.
[ Details |
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D. B. P. Huynh, G. Rozza, S. Sen, and A. T. Patera.
A successive constraint linear optimization method for lower bounds
of parametric coercivity and inf-sup stability constants.
C. R. Math. Acad. Sci. Paris, 345(8):473-478, 2007.
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A. Quarteroni and G. Rozza.
Tecniche a Basi Ridotte per l'Ottimizzazione di
Configurazioni di Innesto per Bypass Coronarici.
In Un grande matematico dell'800: omaggio a Eugenio
Beltrami, Quaderni Incontro di Studio, Istituto Lombardo, Accademia di
Scienze e Lettere, Milano, Italy, pages 225-238, 2007.
[ Details ]
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G. Rozza and K. Veroy.
On the stability of Reduced Basis methods for Stokes
Equations in parametrized domains.
Computer Methods in Applied Mechanics and Engineering,
196(7):1244-1260, 2007.
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A. Quarteroni and G. Rozza.
Numerical solution of parametrized Navier-Stokes equations by
reduced basis methods.
Numerical Methods for Partial Differential Equations,
23(4):923-948, 2007.
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A. Quarteroni, G. Rozza, and A. Quaini.
Reduced basis methods for optimal control of advection-diffusion
problems.
In W. Fitzgibbon, R. Hoppe, J. Periaux, O. Pironneau, and
Y. Vassilevski, editors, Advances in Numerical Mathematics, pages
193-216, Moscow, Russia and Houston, USA, 2007.
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G. Fourestey, N. Parolini, C. Prud'homme, A. Quarteroni, and G. Rozza.
Matematica in volo con Solar Impulse.
In Matematica e Cultura 2006, pages 35-48, 2006.
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G. Rozza.
Real-time reduced basis solutions for Navier-Stokes equations:
optimization of parametrized bypass configurations.
In ECCOMAS CFD 2006 Proceedings on CD, 2006.
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A. Quarteroni, G. Rozza, L. Dedè, and A. Quaini.
Numerical approximation of a control problem for advection-diffusion
processes.
In System modeling and optimization, volume 199, pages
261-273. Springer, Boston, 2006.
[ Details |
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V. Agoshkov, A. Quarteroni, and G. Rozza.
Shape design in aorto-coronaric bypass anastomoses using perturbation
theory.
SIAM Journal on Numerical Analysis, 44(1):367-384,
2006.
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V. Agoshkov, A. Quarteroni, and G. Rozza.
A mathematical approach in the design of arterial bypass using
unsteady Stokes equations.
Journal of Scientific Computing, 28(2-3):139-165, 2006.
[ Details ]
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A. Quaini.
Metodi a basi ridotte per problemi differenziali di fluidodinamica
ambientale.
Master thesis developed at EPFL in the framework of EU Socrates
Project when the author was student at Politecnico di Milano and at EPFL as
visiting/ international exchange student., 2005.
[ Details |
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G. Rozza.
Reduced-basis methods for elliptic equations in sub-domains with a
posteriori error bounds and adaptivity.
Applied Numerical Mathematics, 55(4):403-24, 2005.
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G. Rozza.
On optimization, control and shape design of an arterial bypass.
International Journal for Numerical Methods in Fluids,
47(10-11):1411-19, 2005.
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G. Rozza.
Real time reduced basis techniques for arterial bypass geometries.
In Computational Fluid and Solid Mechanics - Third
M.I.T. Conference on Computational Fluid and Solid Mechanics,
pages 1283-1287, 2005.
[ Details ]
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G. Rozza.
Shape design by optimal flow control and reduced basis
techniques.
PhD thesis, Lausanne, 2005.
ECCOMAS (European Community on Computational Methods in Applied
Sciences) Award for the Best Ph.D Thesis on Computational Methods in Applied
Sciences and Engineering (2005).
[ Details |
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L. Dede'.
Controllo ottimale e adattivita' per equazioni alle derivate parziali
e applicazioni.
Master thesis developed at EPFL in the framework of EU Socrated
Project when the author was student at Politecnico di Milano and at EPFL as
visiting/ international exchange student., 2004.
[ Details |
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A. Quarteroni and G. Rozza.
Optimal control and shape optimization of aorto-coronaric bypass
anastomoses.
Mathematical Models and Methods in Applied Sciences,
13(12):1801-1823, 2003.
[ Details |
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G. Rozza.
Controllo ottimale e ottimizzazione di forma in fluidodinamica
numerica.
Master thesis developed at EPFL in the framework of EU Socrated
Project when the author was student at Politecnico di Milano and at EPFL as
visiting/ international exchange student., 2002.
[ Details |
Full Text ]
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| Skills |
Aerodynamics, Gasdynamics, Fluid dynamics, Haemodynamics, Elasticity.
Mathematical Modelling and Numerical Simulation.
Optimal Flow Control, Shape Optimization.
Reduced Basis Techniques.
Small Perturbation in Fluid Mechanics. |
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| Teaching |
Mathematics
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Advanced Topics in Numerical Modelling for PDEs [en]
(SMA)
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Computational mechanics by reduced basis methods [en]
(SMA)
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Numerical analysis [fr]
(SSIE SGC)
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| Phd Students |
Iapichino Laura
Manzoni Andrea
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| Software Library |
Rapid Reliable Solution
of the Parametrized Partial
Differential Equations of
Continuum Mechanics And Transport:
http://augustine.mit.edu
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Researcher