Curriculum Vitae et Studiorum
Christian Vergara
Dipartimento di Ingeneria Universit`a di Bergamo Viale Marconi 5 24044 Dalmine (BG) ITALY Tel: (+39) 035 2052314 Fax: (+39) 02 2052310 E-mail: christian.vergara@ unibg.it Url:http://www1.mate.polimi.it/∼vergara/1
Personal Information
Personal Data
Born in Trento (Italy), February 13, 1976 Italian Citizenship
Married, one daughter
Education
July 1995. Liceo Scientifico “G. Galilei”, Trento (Italy). Graduated from high school (scientific ori-ented). Mark: 58/60.
June 14, 2002. Graduated in Biomedical Engineering, Politecnico di Milano (Italy), 5 years degree curriculum, final mark: 93/100. Advisor: Alessandro Veneziani.
April 28, 2006. PhD in Mathematical Engineering, MOX – Laboratory for Modeling and Scientific Computing, Dipartimento di Matematica “F. Broschi”, Politecnico di Milano, Italy. Thesis: “Nu-merical Modeling of Defective Boundary Problems in Incompressible Fluid-Dynamics - Applications to Computational Haemodynamics”. Advisor: A. Veneziani. Final mark: Acum laude.
Current Academic Position
November 1, 2007 - onwards. Assistant Professor in Numerical Analysis (MAT08) at Dipartimento di Ingegneria, Universit`a di Bergamo, Italy.
Past Academic Positions
June 1, 2006 - October 31, 2006. Postdoctoral fellow at CMCS - Ecole Polytecnique Federale de Lausanne (EPFL). Assistant of A . Quarteroni.
November 1, 2006 - April 30, 2007. Postdoctoral fellow at MOX – Laboratory for Modeling and Scientific Computing, Dipartimento di Matematica, Politecnico di Milano (Italy). Project: Model-listica Matematica di Materiali Microstrutturati per Dispositivi a Rilascio di Farmaco, funded by Fondazione Cariplo.
May 1, 2007 - October 31, 2007. Postdoctoral fellow at MOX – Laboratory for Modeling and Scien-tific Computing, Dipartimento di Matematica, Politecnico di Milano (Italy). Project: Modellazione multiscala di distretti venosi, funded by Policlinico di Milano.
Honors and Awards
1. ”Young Researcher Prize” at the 5th European Symposium of Vascular Biomaterials held in Stras-bourg, France, 26 - 27 April 2007. Title of the study: ”Computer modelling of stent implanta-tion: expansion, fluidymanics and drug release” by Francesca Gervaso, Claudio Capelli, Rossella Balossino, Christian Vergara, Paolo Zunino and Francesco Migliavacca.
2. Winner of the prize “Anile - INDAM-SIMAI 2009” for the best Ph.D. italian thesis in applied mathematics in the period 2006-2008.
3. Winner of a funding of 1500 euros for the best reasearch activity at Dipartimento di Ingeneria dell’Informazione e Metodi Matematici, Universit`a di Bergamo. 2011.
4. Principal investigator of the FIRB-Futuro in Ricerca 2012proposal ”Computational modeling of the atherosclerotic carotid artery oriented to the characterization of the haemodynamics before and after the plaque removal”. Selected from Universit`a degli Studi di Bergamo as one of the two project which will be referred by the Italian Government for a funding.
Foreign Languages
English. Good written and oral knowledge.
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Teaching
Academic Year 2002/2003
• Head Assistant. Calcolo Numerico. BSc in Mechanical Engineering. Politecnico di Milano (24 hours). Lecturer: A. Veneziani.
• Tutor. Analisi numerica. BSc in Mathematical Engineering. Politecnico di Milano (20 hours). Lecturer: A. Quarteroni.
Academic Year 2003/2004
• Head Assistant. Metodi numerici per l’ingegneria biomedica e nucleare. MSc in Biomed-ical and Nuclear Engineering. Politecnico di Milano (20 hours). Lecturer: A. Veneziani.
• Head Assistant. Analisi numerica delle equazioni alle derivate parziali. BSc in Mathe-matical Engineering. Politecnico di Milano (20 hours). Lecturer: A. Veneziani.
Academic Year 2004/2005
• Head Assistant. Metodi numerici per l’ingegneria biomedica e nucleare. MSc in Biomed-ical and Nuclear Engineering. Politecnico di Milano (20 hours). Lecturer: A. Veneziani.
• Head Assistant. Analisi numerica delle equazioni alle derivate parziali. BSc in Mathe-matical Engineering. Politecnico di Milano (20 hours). Lecturer: A. Veneziani.
Academic Year 2005/2006
• Head Assistant. Metodi numerici per l’ingegneria biomedica e nucleare. MSc in Biomed-ical and Nuclear Engineering. Politecnico di Milano (20 hours). Lecturer: A. Veneziani.
• Head Assistant. Analisi numerica delle equazioni alle derivate parziali. BSc in Mathe-matical Engineering. Politecnico di Milano (30 hours). Lecturer: A. Veneziani.
Academic Year 2006/2007
• Head Assistant. Metodi numerici per l’ingegneria biomedica e nucleare. MSc in Biomed-ical and Nuclear Engineering. Politecnico di Milano (20 hours). Lecturer: A. Veneziani.
• Head Assistant. Analisi numerica delle equazioni alle derivate parziali. BSc in Mathe-matical Engineering. Politecnico di Milano (30 hours). Lecturer: A. Veneziani.
Academic Year 2007/2008
• Lecturer. Calcolo Numerico. MSc in Civil, Mechanic, Informatic and Financial Engineering. Universit`a di Bergamo (32 hours).
• Lecturer of the PhD courseNumerical Methods for Engineering. Universit`a di Bergamo (30 hours).
• Head Assistant. Metodi numerici per l’ingegneria biomedica e nucleare. MSc in Biomed-ical and Nuclear Engineering. Politecnico di Milano (24 hours). Lecturer: P. Zunino.
• Head Assistant. Analisi numerica delle equazioni alle derivate parziali. BSc in Mathe-matical Engineering. Politecnico di Milano (20 hours). Lecturer: P. Zunino.
Academic Year 2008/2009
• Lecturer. Calcolo Numerico. MSc in Civil, Mechanic, Informatic and Financial Engineering. Universit`a di Bergamo (32 hours).
• Lecturer of the PhD courseNumerical Methods for Engineering. Universit`a di Bergamo (30 hours).
• Head Assistant. Geometria e Algebra Lineare. BSc in Civil, Mechanic, Informatic and Financial Engineering. Universit`a di Bergamo (36 hours). Lecturers: M. Pedroni and L. Greni´e. • Head Assistant. Metodi numerici per l’ingegneria biomedica e nucleare. MSc in
Biomed-ical and Nuclear Engineering. Politecnico di Milano (24 hours). Lecturer: P. Zunino.
• Head assistant. Metodi Analitici e Numerici per l’Ingegneria Aerospaziale. MSc in Aeronautic Engineering. Politecnico di Milano (20 hours). Lecturer: M. Verani.
• Head assistant. Modellistica Numerica per Problemi Differenziali, MSc in Aeronautic Engineering. Politecnico di Milano (30 hours). Lecturer: L. Formaggia.
Academic Year 2009/2010
• Lecturer. Calcolo Numerico. MSc in Civil, Mechanic, Informatic and Financial Engineering. Universit`a di Bergamo (32 hours).
• Lecturer of the PhD courseNumerical Methods for Engineering. Universit`a di Bergamo (30 hours).
• Head Assistant. Geometria e Algebra Lineare. BSc in Civil, Mechanic, Informatic and Financial Engineering. Universit`a di Bergamo (36 hours). Lecturers: M. Pedroni and L. Greni´e. • Head Assistant. Metodi numerici per l’ingegneria biomedica e nucleare. MSc in
Biomed-ical and Nuclear Engineering. Politecnico di Milano (24 hours). Lecturer: P. Zunino.
Academic Year 2010/2011
• Lecturer. Calcolo Numerico. MSc in Civil, Mechanic, Informatic and Financial Engineering. Universit`a di Bergamo (32 hours).
• Lecturer. Geometria e Algebra Lineare - sezione di Metodi Numerici. BSc in Civil, Mechanic, Informatic and Financial Engineering. Universit`a di Bergamo (42 hours).
• Lecturer of the PhD courseNumerical Methods for Engineering. Universit`a di Bergamo (30 hours).
• Head Assistant. Metodi numerici per l’ingegneria biomedica e nucleare. MSc in Biomed-ical and Nuclear Engineering. Politecnico di Milano (24 hours). Lecturer: P. Zunino.
• Head Assistant. Analisi numerica delle equazioni alle derivate parziali. BSc in Mathe-matical Engineering. Politecnico di Milano (20 hours). Lecturer: P. Zunino.
Academic Year 2011/2012
• Lecturer. Calcolo Numerico. MSc in Civil, Mechanic, Informatic and Financial Engineering. Universit`a di Bergamo (32 hours).
• Lecturer. Geometria e Algebra Lineare - sezione di Metodi Numerici. BSc in Civil, Mechanic, Informatic and Financial Engineering. Universit`a di Bergamo (42 hours).
• Lecturer within the PhD courseCardiovascular Mathematics. Politecnico di Milano (6 hours). • Head Assistant. Metodi numerici per l’ingegneria biomedica e nucleare. MSc in
Biomed-ical and Nuclear Engineering. Politecnico di Milano (24 hours). Lecturer: P. Zunino.
• Head Assistant. Analisi numerica delle equazioni alle derivate parziali. BSc in Mathe-matical Engineering. Politecnico di Milano (20 hours). Lecturer: P. Zunino.
Academic Year 2012/2013
• Lecturer. Calcolo Numerico. MSc in Civil, Mechanic, Informatic and Financial Engineering. Universit`a di Bergamo (32 hours).
• Lecturer. Geometria e Algebra Lineare - sezione di Metodi Numerici. BSc in Civil, Mechanic, Informatic and Financial Engineering. Universit`a di Bergamo (42 hours).
• Lecturer. Metodi numerici per l’ingegneria biomedica e nucleare. MSc in Biomedical and Nuclear Engineering. Politecnico di Milano (40 hours).
• Lecturer within the PhD courseCardiovascular Mathematics. Politecnico di Milano (9 hours). • Head Assistant. Analisi numerica delle equazioni alle derivate parziali. BSc in
Mathe-matical Engineering. Politecnico di Milano (20 hours). Lecturer: E. Miglio.
Academic Year 2013/2014
• Lecturer. Calcolo Numerico. MSc in Civil, Mechanic, Informatic and Financial Engineering. Universit`a di Bergamo (32 hours).
• Lecturer. Geometria e Algebra Lineare - sezione di Metodi Numerici. BSc in Civil, Mechanic, Informatic and Financial Engineering. Universit`a di Bergamo (42 hours).
• Lecturer. Metodi numerici per l’ingegneria biomedica e nucleare. MSc in Biomedical and Nuclear Engineering. Politecnico di Milano (40 hours).
• Lecturer within the PhD courseCardiovascular Mathematics. Politecnico di Milano (9 hours). • Head Assistant. Analisi numerica delle equazioni alle derivate parziali. BSc in
Mathe-matical Engineering. Politecnico di Milano (20 hours). Lecturer: E. Miglio.
Other teaching activities
August 02-14, 2010. Head assistant and responsable of the laboratories at the Summer School ”Math-ematical Modelling and Computation: The Fluid-Structure Interaction problem”, held at the Insti-tute of Computational Mathematics, Academy of Maths and Systems Sciences, Beijing, China (18 hours). Lecturer: F. Nobile
July 03-05, 2013. Lecturer of the lessons ”Numerical solution of fluid-structure interaction problems in haemodynamics” within the Intensive Programme ”If Fluid-dynamics turns to Biology”, L’Aquila, Italy (9 hours).
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Research Activity
Research Interests
Main research field. Numerical discretization of partial differential equations, numerical algorithms for the fluid-structure interaction problem, multiscale modeling of the cardiovascular system, com-putational haemodynamics for clinical applications, Optimized Schwarz Method.
Main keywords. Defective boundary conditions, partitioned algorithms for the fluid-structure interac-tion, added mass effect, geometrical multiscale approach, Lagrange multipliers, optimal control for partial differential equations, Nitsche method, cardiovascular parameter estimation, bicupid aortic valve, human carotid arteries, abdominal aortic aneurysms.
Collaborations
2003-onwards. Veneziani A. (Department of Mathematics and Computer Science, Emory University, Atlanta), Formaggia L. (MOX – Laboratory for Modeling and Scientific Computing, Dipartimento di Matematica, Politecnico di Milano) and Zunino P. (MOX, Politecnico di Milano). Defective boundary conditions in incompressible fluid-dynamics and for the fluid-structure interaction prob-lems;
2005-2010. Redaelli A. (Dipartimento di Bioingegneria, Politecnico di Milano), Ponzini R. (Cineca, Milano), Veneziani A., Parodi O. (ex CNR, Pisa). Flow rate estimation based on Doppler technique;
2006-2008. Zunino P., C. D’Angelo. Mathematical modelling of drug release from stents;
2006-onwards. Nobile F. (CMCS, MATHICSE, Ecole Polytecnique Federale de Lausanne, Switzerland), Badia S. (Universitat Politica de Catalunya), L. Gerardo-Giorda. Developments and analysis of new algorithms for the fluid-structure interaction problem;
2007-onwards. Domanin M. (MD, Division of Vascular Surgery, Policlinico di Milano), Passerini T., Veneziani A. and Formaggia L. Mathematical modelling of the venous tree;
2008-2009. Corno A. (MD, Alder Hey Children Hospital, Liverpool), Passerini T., Veneziani A., For-maggia L. and Quarteroni A. (MOX, Politecnico di Milano, and CMCS, MATHICSE, Ecole Poly-tecnique Federale de Lausanne). Numerical study of the assisted Fontan procedure;
2008-onwards. Domanin M., Biondetti G. (MD, Director of Division of Radiology, Policlinico di Mi-lano), Antiga L. (Orobix s.r.l - Bergamo), Piccinelli M., Faggiano E. (MOX, Politecnico di Milano, Italy). Image reconstruction and patient specific numerical simulation of the blood flow in the abdominal aorta and in the carotids, before and after the surgical operation;
2008-onwards. Antiga A., Faggiano E., Luciani G. (MD, Division of Cardio-surgery, University of Verona) and Puppini G. (MD, Division of Radiology, University of Verona). Image reconstruction and patient specific numerical simulation of the blood flow in the aorta through a bicuspid aortic valve;
2010-2011 Perego M. (Florida State University) and Veneziani A. Parameter estimation in cardiovas-cular mathematics;
2011-onwards. Formaggia L. and Quarteroni A. Geometrical multiscale modeling of the cardiovascular tree;
2012-onwards. Catanzariti D. (MD, Division of Cardiology, Ospedale S. Maria del Carmine, Rovereto (TN), Italy), Centonze M. (MD, Director of Division of Diagnostic Radiology, Presidio Ospedaliero di Borgo Valsugana (TN), Italy), Nobile F. Numerical modelling of the electrical activity of the heart for the study of the ventricular dissincrony;
2012-onwards Gigante G. (Universit`a di Bergamo). Optimized Schwarz Methods for elliptic problems with cylindrical interfaces.
Working groups
2004 - onwards. Working in the project for the development of the 3D finite element library LIFEV
(www.lifev.org). Leading partners: MOX, Laboratory for Modeling and Scientific Computing, Di-partimento di Matematica, Politecnico di Milano - CMCS, Ecole Polytecnique Federale de Lausanne (EPFL) - INRIA, Rocquencourt and Universit´e Paris-6 - Dept. of Mathematics and Computer Sci-ence, Emory University.
2014 - onwards. Responsible of the task ”Cardiovascular” within the activity group ”BIOMATH@MOX”, MOX, Dipartimento di Matematica, Politecnico di Milano.
Research visits
August 7 - October 7, 2005. Department of Aeronautics, Imperial College London, host of S. Sher-win and J. Peir´o.
August 31 - September 28, 2008. Department of Mathematics and Computer Science, Emory Uni-versity, invited by A. Veneziani.
September 4 - 19, 2010 Department of Mathematics and Computer Science, Emory University, in-vited by A. Veneziani.
Research Funding and Grants
INDAM grant, 2005. ”Integration of Complex Systems in Biomedicine”. Coordinator: A. Quarteroni. Role: participant.
MIUR PRIN05 2005013982-001, January 2006 - January 2008 . ”Numerical modeling for sci-entific computing and advanced applications”. Local and National Coordinator: A. Quarteroni. Role: participant.
European Research Training Network H. HPRN-CT-2002-00270 “HAEMODEL”, 2002-2006
Coordinator: A. Quarteroni. Partners: Politecnico di Milano; Ecole Polytecnique Federale de Lau-sanne (EPFL); Technische Universitat Graz; Imperial College of Science, Technology and Medicine; INRIA, Rocquencourt and Universit´e Paris-6; Instituto Superior Tecnico, Lisboa. Role: Young researcher.
MIUR PRIN07 2007747LH-001, September 2008 - September 2010 . ”Modellistica numerica per il calcolo scientifico ed applicazioni avanzate ”. Local and National coordinator: A. Quarteroni. Role: participant.
ERC Advanced Grant N.227058 “MATHCARD”, 2009-onwards Principal investigator: A. Quar-teroni. Role: Support scientist and responsable of the TaskFurther relevant clinical applications.
MIUR PRIN09 2009Y4RC3B 001, October 2011 - October 2013. ”Modelli numerici per il cal-colo scientifico ed applicazioni avanzate”. Local and National Coordinator: A. Quarteroni. Role: participant.
MIUR PRIN12 201289A4LX, December 2013 - onwards. “Modelli matematici e numerici del sis-tema cardiocircolatorio e loro applicazione in ambito clinico”. Local and National Coordinator: A. Quarteroni. Role: participant.
Publications
Refereed Journal Papers
1. Veneziani A., Vergara, Flow rate defective Boundary Conditions in Haemodynamics Simulations,
Int. Journ. Num. Meth. Fluids, 47, pp. 803–816, 2005.
2. Ponzini R., Vergara C., Redaelli A., Venenziani A., Reliable CFD-based estimation of flow rate in haemodynamics measures,Ultrasound in Med. and Biol., 32(10), pp. 1545–1555, 2006.
3. Veneziani A., Vergara C., An approximate method for solving incompressible Navier-Stokes problem with flow rate conditions,Comp. Meth. Appl. Mech. Eng., 196(9-12), pp.1685-1700, 2007. 4. Nobile F., Vergara C., An effective fluid-structure interaction formulation for vascular dynamics by
generalized Robin conditions,SIAM J. Sc. Comp., 30(2), pp. 731-763, 2008.
5. Vergara C., Zunino P., Multiscale modeling and simulation of drug release from cardiovascular stents,SIAM Multiscal Modeling and Simulation., 7(2), pp. 565-588, 2008.
6. Badia S., Nobile F., Vergara C., Fluid-structure partitioned procedures based on Robin transmission conditions,J. Comp. Phys., 227, pp. 7027-7051, 2008.
7. Formaggia L., Veneziani A., Vergara C., A new approach to numerical solution of defective boundary problems in incompressible fluid dynamics,SIAM J. Num. Anal., 46(6), pp. 2769-2794, 2008. 8. Zunino P., D’Angelo C., Petrini L., Vergara C., Capelli C., Migliavacca F., Numerical simulation
of drug eluting coronary stents: mechanics, fluid dynamics and drug release,Comp. Meth. Appl. Mech. Eng., 198(45-46), pp. 3633-3644, 2009.
9. Badia S., Nobile F., Vergara C., Robin-Robin preconditioned Krylov methods for fluid-structure interaction problems,Comp. Meth. Appl. Mech. Eng., 198 (33-36), pp. 2768-2784, 2009.
10. Vergara C., Ponzini R., Veneziani A., Redaelli A., Neglia D., Parodi O., Womersley number-based estimation of flow rate with Doppler Ultrasound: Sensitivity analysis and first clinical application,
11. Formaggia L., Veneziani A., Vergara C., Flow rate boundary problems for an incompressible fluid in deformable domains: formulations and solution methods,Comp. Meth. Appl. Mech. Eng., 199 (9-12), pp. 677-688, 2010.
12. Ponzini R., Vergara C., Rizzo G., Veneziani A., Redaelli A., Roghi A., Vanzulli A., Parodi O., Computational Fluid Dynamics-based estimation of blood flow rate in Doppler analysis: In vivo validation by means of Phase Contrast Magnetic Resonance Imaging,IEEE Transaction on Biomed-ical Engineering, 57 (7), pp. 1807-1815, 2010.
13. Vergara C., Nitsche’s method for defective boundary value problems in incompressibile fluid-dynamics,
Journal of Scientific Computing, 46, pp. 100-123, 2011
14. Viscardi F., Vergara C., Antiga L., Merelli S., Veneziani A., Puppini G., Faggian G., Mazzucco A., Luciani G.B., Comparative finite-element model analysis of ascending aortic flow in bicuspid and tricuspid aortic valve,Artificial Organs, 34(12), pp. 1114-1120, 2010.
15. Gerardo-Giorda L., Nobile F., Vergara C., Analysis and optimization of Robin-Robin partitioned procedures in fluid-structure interaction problems. SIAM J. Num. Anal., 48(6), pp. 2091-2116, 2010.
16. Perego M., Veneziani A., Vergara C., A variational approach for estimating the compliance of the cardiovascular tissue: An Inverse fluid-structure interaction problem. SIAM J. Sc. Comp., 33(3), pp. 1181-1211, 2011.
17. Dubini G. et al., Trends in biomedical engineering: focus on Patient Specific Modeling and Life Support Systems. J. Appl. Biomater. Biomech., 9(2), pp. 109 - 117, 2011.
18. Vergara C., Viscardi F., Antiga L., Luciani G.B., Influence of bicuspid valve geometry on ascending aortic fluid-dynamics: a parametric study. Artificial Organs, 36(4), pp. 368-378, 2012.
19. A. Porpora, P. Zunino, C. Vergara, M. Piccinelli, Numerical treatment of boundary conditions to replace lateral branches in haemodynamics. Int. J. Num. Meth. Biomed. Eng., 28(12), pp. 1165-1183, 2012.
20. L. Formaggia and C. Vergara, Prescription of general defective boundary conditions in fluid-dynamics. Milan Journal of Mathematics, 80(2), pp. 333-350, 2012.
21. F. Nobile and C. Vergara, Partitioned algorithms for fluid-structure interaction problems in haemo-dynamics. Milan Journal of Mathematics, 80(2), pp. 443-467, 2012.
22. L. Formaggia, A. Quarteroni, C. Vergara, On the physical consistency between three-dimensional and one-dimensional models in haemodynamics. Journal of Computational Physics, 244, pp. 97-112, 2013.
23. E. Faggiano, L. Antiga, G. Puppini, A. Quarteroni, G.B. Luciani, C. Vergara, Helical flows and asymmetry of blood jet in dilated ascending aorta with normally functioning bicuspid valve. Biome-chanics and Modeling in Mechanobiology, 12(4), pp. 801-813, 2013.
24. M. Piccinelli, C. Vergara, L. Antiga, L. Forzenigo, P. Biondetti, M. Domanin, Impact of hemody-namics on lumen boundary displacements in abdominal aortic aneurysms by means of dynamic com-puted tomography and computational fluid dynamics. Biomechanics and Modeling in Mechanobi-ology, 12(6), pp. 1263-1276, 2013.
25. F. Nobile, M. Pozzoli, C. Vergara, Time accurate partitioned algorithms for the solution of fluid-structure interaction problems in haemodynamics. Computer and Fluids, 86, pp. 470-482, 2013. 26. G. Gigante, M. Pozzoli, C. Vergara, Optimized Schwarz Methods for the diffusion-reaction problem
Technical Reports and Submitted Papers
1. F. Nobile, M. Pozzoli, C. Vergara, Exact and inexact partitioned algorithms for fluid-structure interaction problems with finite elasticity in haemodynamics. MOX Reportn. 37/2012.
2. C. Vergara, S. Palamara, D. Catanzariti, C. Pangrazzi, F. Nobile, M. Centonze, E. Faggiano, M. Maines, A. Quarteroni, G. Vergara, Patient-specific computational generation of the Purkinje network driven by clinical measuraments. MOX Reportn. 09/2013.
3. S. Palamara, C. Vergara, E. Faggiano, F. Nobile, An effective algorithm for the generation of patient-specific Purkinje networks in computational electro-cardiology. MOX Reportn. 48/2013. 4. G. Gigante, C. Vergara, Analysis and optimization of the generalized Schwarz method for elliptic
problems with application to fluid-structure interaction. Quaderno del Dipartimento di Ingegneria, Universit`a di Bergamo, Series Mathematics and Statistics, n. 04/MS-2013.
5. S. Palamara, C. Vergara, D. Catanzariti, E. Faggiano, M. Centonze, C. Pangrazzi, M. Maines, A. Quarteroni, Patient-specific generation of the Purkinje network driven by clinical measurement: the case of pathological propagations. MOX Reportn. 48/2013.
6. G. Gigante, C. Vergara, Optimized Schwarz method for the fluid-structure interaction with cylin-drical interfaces. Quaderno del Dipartimento di Ingegneria, Universita’ di Bergamo, series ”Math-ematics and Statistics”, n. 04/MS-2014.
Book Chapters
1. Arimon A., Balossino R., D’Angelo C., Doorly D., Dubini G., Fernandez M., Gerbeau J.F., Giordana S., Migliavacca F., Pennati G., Peiro’ J., Prosi M., Sherwin S., Vergara C., Vidrascu M., Zunino P., Applications and test cases, inCardiovascular Mathematics, Formaggia L., Quarteroni A., Veneziani A. eds., Springer, 2009.
2. D’Elia M., Mirabella L.,Passerini T., Perego M., Piccinelli M., Vergara C., Veneziani A., Applica-tions of variational data assimilation in computational hemodynamics, inModeling of Physiological Flows, Ambrosi D., Quarteroni A., Rozza G. eds., Springer, 2011.
Refereed Conference Proceedings, Refereed Short Comunications and Editorials 1. Balossino R., Migliavacca F., Pennati G., Dubini G., Vergara C., Formaggia L., Venenziani A.
-Multiscale Models of the Cardiovascular System Applied to the Study of the Flow in a Carotid Bifurcation, In Technological innovation and evaluation of medical devices for the cardiovascular system, Rapporti Istisan, 05/46, 2004.
2. Fernandez M., Moura A., Vergara C., Defective Boundary Conditions Applied to Multiscale Analysis of Blood Flow,ESAIM Proceedings, CEMRACS 2005, 14, pp. 89-99, 2005.
3. Moura A., Vergara C., Flow rate boundary conditions and multiscale modelling of the cardio-vascular system in compliant domains, in Modelling in Medicine and Biology VI, (eds. Ursino, Brebbia, Pontrelli, Magosso), related toSixth International Conference on Modelling in Medicine and Biology, Bologna - September 7-9, 2005.
4. Veneziani A., Vergara C., Flow Rate Boundary Conditions in Fluid-Dynamics,PAMM Proceedings in Applied Mathematics and Mechanics (Proceedings of the GAMM meeting 2006, Berlin), 6, pp. 35–38, 2006..
5. Ponzini R., Vergara C., Veneziani A., Redaelli A., Design of new reliable CFD-based estimation of flow rate in haemodynamics measures, Journal of Biomechanics, (41), Supplement 1, page S214, 2008.
6. Ponzini R., Vergara C., Veneziani A., Redaelli A., Design of new reliable CFD-based estimation of flow rate: Early in-vivo results,Computers in Cardiology, pp. 953-955, 2008.
7. Ponzini R., Rizzo G., Vergara C., Veneziani A., Morbiducci U., Montevecchi F.M., Redaelli A., Computational modeling of local hemodynamics phenomena: Methods, tools and clinical applica-tions,Nuovo Cimento C della Societa’ Italiana di Fisica - Colloquia on Physics, 32(2), pp. 77-80, 2009.
8. Ponzini R., Vergara C., Rizzo G., Veneziani A., Redaelli A., Vanzulli A., Parodi O., Computational fluid dynamics-based estimation of blood flow rate in Doppler analsys: in vivo validation by means of phase contrast magnetic resonance imaging, Proceedings of theASME summer conference, pp. 227-228, 2009.
9. Corno A., Vergara C., Subramanian C., Johnson R.A., Passerini T., Veneziani A., Formaggia L., Alphonso N., Quarteroni A., Jarvis J.C., Assisted Fontan procedure: animal and in vitro models and computational fluid dynamics study,Interactive CardioVascular and Thoracic Surgery, 10, pp. 679-684, 2010.
10. Vergara C., Modular algorithms for the numerical solution of the flow rate boundary value problem,
Communications in Applied and Industrial Mathematics, 1(1), pp. 237-257, 2010.
11. Pozzoli M., Vergara C., Nobile F., Efficient algorithms for the solution of fluid-structure interaction problems in haemodynamic applications, Proceedings of the Conference Numerical Methods for Hyperbolic Equations Theory and Applications, Santiago de Compostela, Taylor and Francis group, pp 355-364, 2012.
12. Veneziani A., Vergara C., Inverse problems in Cardiovascular Mathematics: toward patient-specific data assimilation and optimization, Editorial of the special issue ”Inverse Problems in Cardiovascu-lar Mathematics”,International Journal for Numerical Methods in Biomedical Engineering, 29(7), pp. 723-725, 2013.
H-index=11 Hc-index=10
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Student Advising
PostDoc Students
1. 01/04-31/12/2012 . M. Pozzoli, Universit`a degli Studi di Bergamo. Title of the research: ”Numer-ical methods for the fluid-structure interaction problem in computational haemodynamics”.
Advisor of PhD Students
1. 01/01/2009 - 31/03/2012. M. Pozzoli, thesis title:Efficient partitioned algorithms for the solution of fluid-structure interaction problems in haemodynamics, Ph.D in Mathematical Engineering, MOX – Laboratory for Modeling and Scientific Computing, Dipartimento di Matematica, Politecnico di Milano. Other advisor: F. Nobile
2. 01/01/2012 - onwards. S. Palamara, Ph.D in Mathematical Engineering, MOX – Laboratory for Modeling and Scientific Computing, Dipartimento di Matematica, Politecnico di Milano. Involved in the project “Numerical modelling of the electrical activity of the heart for the study of the ventricular dissincrony”, in collaboration with Ospedale S. Maria del Carmine, Rovereto (TN), Italy. Funded by Fondazione Caritro. Other advisor: F. Nobile.
3. 01/11/2012 - onwards. M. Lancellotti, Ph.D in Mathematical Engineering, MOX – Laboratory for Modeling and Scientific Computing, Dipartimento di Matematica, Politecnico di Milano. Other advisor: A. Quarteroni.
Advisor of Bachelor/Master Students
1. M. Pozzoli,Simulazioni numeriche per l’interazione fluido-struttura in emodinamica computazionale, MSc in Mathematical Engineering, Politecnico di Milano, Accademic year ’07-’08. Other advisor: F. Nobile.
2. A. Galeazzi,Modellazione matematica del sistema venoso delle gambe umane, BSc in Mathematical Engineering, Politecnico di Milano, Accademic year ’07-’08. Other advisor: L. Formaggia.
3. A. Mencarelli, A. Meschini,Modelli di interazione fluido-membrana e applicazioni in ambito aero-dinamico, BSc in Aerospace Engineering, Politecnico di Milano, Accademic year ’08-’09. Other advisor: M. Verani.
4. G. Sandrini,Modellazione matematica del sistema venoso degli arti inferiori, BSc in Mathematical Engineering, Politecnico di Milano, Accademic year ’08-’09. Other advisor: L. Formaggia.
5. M. Beccaria, M. Haile, Modellazione matematica numerica dell’operazione Fontan assistita, BSc in Mathematical Engineering, Politecnico di Milano, Accademic year ’09-’10. Other advisor: L. Formaggia.
6. C. Cal`ı, Superifici di suddivisione per la progettazione assistita al calcolatore: aspetti analitici, implementazione e studio di fattibilita’, MSc in Information Engineering, Universita’ degli Studi di Bergamo, Accademic year ’09-’10.
7. P. Ghilardi,Computational solution of fluid-structure interaction in human carotids: A comparison before and after the plaque removal, MSc in Mechanical Engineering, Universita’ degli Studi di Bergamo, Accademic year ’11-’12.
8. M. Lancellotti,Numerical Computations of Deflated Vascular Geometries for Fluid-Structure In-teraction in Haemodynamics, MSc in Aerospacial Engineering, Universit´a degli Studi di Napoli, Accademic year ’11-’12. Other advisor: S. De Rosa
9. C. Fiorini, F. Gasperoni,Modellazione matematico-numerica del sistema venoso cerebrale e degli arti inferiori, BSc in Mathematical Engineering, Politecnico di Milano, Accademic year ’11-’12. Other advisor: L. Formaggia.
10. D. Bonomi,Numerical study of the influence of aortic valve leaflets in the fluid-dynamics in ascend-ing aorta, MSc in Mathematical Engineering, Politecnico di Milano, Accademic year ’12-’13. Other advisor: L. Formaggia.
11. E. Orso, Analisi computazionale dell’interazione fluido-struttura in aorta ascendente con valvola aortica stentless, MSc in Biomedical Engineering, Politecnico di Milano, Accademic year ’12-’13. Other advisor: P. Antonietti.
Co-Advisor of Bachelor/Master Students
1. T. Passerini,Modelli multiscala per il sistema circolatorio: accoppiamento numerico di modelli tridi-mensionali e monoditridi-mensionali, MSc in Biomedical Engineering, Politecnico di Milano, Accademic year ’04-’05. Advisor: A . Veneziani.
2. A. Costa,Modellazione numerica di distretti venosi a partire da modelli matematici monodimen-sionali, MSc in Biomedical engineering, Politecnico di Milano, Accademic year ’05-’06. Advisor: A. Veneziani.
3. S. Carcano and M. Cogliati,Modelli ed algoritmi per lo studio dell’interazione fluido-struttura in emodinamica, BSc in Mathematical Engineering, Politecnico di Milano, Accademic year ’06-’07. Advisor: F. Nobile.
4. A. Bugada,Modellazione monodimensionale di vasi sanguigni con eusione laterale, BSc in Mathe-matical Engineering, Politecnico di Milano, Accademic year ’07-’08, Advisor: L. Formaggia. 5. S. Merelli, Studio dell’emodinamica nell’ aorta ascendente in pazienti con valvola aortica
bicus-pide, BSc in Informatic Engineering, University of Bergamo, Accademic year ’08-’09. Advisor: A. Remuzzi. Other co-advisor: L. Antiga.
6. G. Scuderi,Numerical study of the coupling between heterogeneous models in computational haemo-dynamics, MSc in Mathematics, Universit`a di Milano Bicocca, Academic year ’10-’11. Advisors: A. Russo and L. Formaggia
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Popularization of the research
Contributions at Conferences
Plenary lectures1. Computational studies of haemodynamics in ascending aorta and human carotids. 1st UK National Conference on Patient-Specific Modelling (PSM) and Translational Research, Cathays Park, Cardiff University, UK, January 9-10, 2013.
Invited Talks
1. Defective boundary conditions in fluid-dynamics: Algorithms and simulations. Talk within the minisymposium “Numerical analysis of partial differential equations”, organized by S. Bartels and M. Verani, 77th Annual Meeting of the Gesellschaft fur Angewandte Mathematik und Mechanik (GAMM), Technische Universitat Berlin, March 27-31, 2006.
2. Effective techniques for realistic fluid-structure interaction simulations. Talk within the minisym-posium “Computational vascular and cardiovascular mechanics”, organized by Y. Bazilevs, C.A. Taylor, T.J.R. Hughes and V. Calo, X US National Congress on Computational Mechanics, Colum-bus (OH), USA, July 16-19, 2009.
3. Defective boundary conditions in incompressible Fluid-dynamics with applications. Lecture within of the workshop “SIMAI Giovani 2009”, Roma, Italy, October 9, 2009.
4. Estimation of the vascular compliance by means of aFluid-structure interaction optimization prob-lem. Talk within the minisymposium “Computational fluid-structure interaction and multi-material problems”, organized by M. Fernandez, G. Scovazzi and W. Wall, IV European Conference on Com-putational Mechanics (ECCM), Paris, France, May 16-21, 2010.
5. Efficient algorithms for the solution ofFluid-structure interaction problems in haemodynamic appli-cation. Talk within the minisymposium “Methods and models for biomedical problems”, organized by E. Toro, Numerical Methods for Hyperbolic Equations Theory and Applications, Santiago de Compostela, Spain, July 4-8, 2011.
6. A variational approach for estimating the compliance Of cardiovascular tissues. Talk within the minisymposium “Inverse Problems in Cardiovascular Mathematics”, organized by M. Perego and A. Veneziani, VII International Congress on Industrial and Applied Mathematics (ICIAM 2011), Vancouver, Canada, July 18-22, 2011.
7. Computational description of human arterial and venous systems: examples of possible applications. Lecture within the workshop “VENOUS HEMODYNAMICS: medical problems and mathematical modelling” organized by E. Toro, Trento, Italy, October 25-26, 2011.
8. Partitioned algorithms for fluid-structure interaction Problems with finite elasticity in haemody-namics. Talk within the minisymposium “Numerical methods and applications of multi-physics in biomechanical modeling”, organized by Michler, D. Nordsletten, C.A. Figueroa, Y. Bazilevs, A. Quarteroni, VI European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012), Wien, Austria, September 10-14, 2012.
9. Computational study of haemodynamics in ascending aorta in presence of a bicuspid valve. Talk within the minisymposium “Numerical Simulation of Cardiovascular Devices & Procedures”, orga-nized by F. Auricchio, M. Conti, S. Morganti, A. Reali, A. Veneziani, III International Conference on Computational and Mathematical Biomedical Engineering (COMPBIOMED 2013), Hong Kong, December 16-18, 2013.
Contributed Talks
1. Condizioni al bordo deficitarie in simulazioni emodinamiche. modellazione matematico-numerica di problemi di emodinamica con flussi imposti. XVII Congresso UMI, Milano, September 12, 2003. 2. Defective boundary conditions in haemodynamics simulations. VII SIMAI Biannual Conference,
Venezia, September 24, 2004.
3. Defective boundary conditions in haemodynamics simulations. Integrazione di sistemi complessi in biomedicina: modelli, simulazioni, rappresentazioni - Progetto Integruppo INDAM 2004, Bergamo, Italy, November 22-23, 2004.
4. Recent developments on defective boundary conditions in haemodynamics simulations. II Inter-national Symposium “Modelling of Physiological Flows”, Sesimbra, Portugal, March 31-April 2, 2005.
5. Inexact algorithm for the flow rate boundary problem in incompressible fluid-dynamics and ap-plication to haemodynamics measures. III International Symposium “Modelling of Physiological Flows”, Bergamo, Italy, September 25-27, 2006.
6. Inexact algorithm for the flow rate boundary problem in incompressible fluid-dynamics and appli-cation to haemodynamics measures. SIMAI - Prospettive di sviluppo della matematica in Italia, Parma, Italy, May 18-19, 2007.
7. Fluid-structure algorithms based on Robin transmission conditions. II GACM, Colloquium on Computational Mechanics, Technical University of Munich, Germany, October 10-12, 2007. 8. Flow rate boundary value problems in fluid-dynamics with applications to the cardiovascular system.
V European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012), VIII World Congress on Computational Mechanics (WCCM 2008), Venice, Italy, June 30-July 4, 2008.
9. Flow rate boundary conditions in fluid-structure interaction problems. Coupled Problem 2009, ECCOMAS Thematic Conference, Ischia Island (NA), Italy, June 8-10, 2009.
10. Effective techniques for realistic fluid-structure interaction simulations. I International Conference on Computational and Mathematical Biomedical Engineering (COMPBIOMED 2009), Swansea, UK, June 29-1 July, 2009.
11. Analysis and applications of fluid-structure interaction problems based on Robin interface condi-tions. X SIMAI Biannual Congress 2010, Cagliari, Italy, June 21-25, 2010.
12. A variational approach for estimating the compliance of cardiovascular tissues. XVI International Conference on Finite Elements in Flow Problems (FEF 2011), Munchen, Germany, March 23-25, 2011.
13. Efficient treatments of interface conditions and interface position in fluid-structure interaction prob-lems. II International Conference on Computational and Mathematical Biomedical Engineering (COMPBIOMED 2011), Washington, DC, USA, March 30-April 1, 2011.
14. Time accurate algorithms for the solution of fluid-structure interaction problems in haemodynamic applications. Simulation and Modeling of Biological Flows (SIMBIO 2011), ECCOMAS Thematic Conference, Bruxelles, Belgium, September 21-23, 2011.
15. Numerical study of the fluid-dynamics in carotids of real patients before and after the plaque removal. Workshop on ”Theoretical approaches and related mathematical methods in biology and medicine”, L’Aquila, Italy, November 30 - December 2, 2011.
16. Partitioned algortihms for the numerical solution of fluid-structure interaction in haemodynamics. One day workshop “The cardiac tissue: modelling and equations”, Universit`a Cattolica, Brescia, Italy, May 5, 2012.
17. Partitioned algortihms for the numerical solution of fluid-structure interaction in haemodynamics. SIAM Annual Meeting, Minneapolis, MN, USA, July 9-13, 2012.
18. Optimized Schwarz Methods for domains with cylindrical interfaces. 22nd International Conference on Domain Decomposition Methods (DD22), Lugano, Switzerland, September 16-20, 2013.
Invited Seminars
1. Partitioned procedures for fluid-structure interaction problems. Department of Mathematics and Computer Science, Emory University, Atlanta, GA, USA, September 24, 2008.
2. One-dimensional reduced models for the cardiovascular system: clinical-oriented tools and appli-cations. Dipartimento di Ingegneria Civile e Ambientale, Univerisit`a di Trento, Italy, July 26, 2010.
3. Coupling algorithms for the fluid-structure interaction problem with applications to haemodynam-ics. Dipartimento di Ingegneria Civile e Ambientale, Univerisit`a di Trento, Italy, July 26, 2010. 4. The fluid-structure interaction problem in fixed domain: the monolithic formulation. Department
of Mathematics and Computer Science, Emory University, Atlanta, GA, USA, September 8, 2010. 5. The fluid-structure interaction problem with large deformation: the Dirichlet-Neumann scheme. De-partment of Mathematics and Computer Science, Emory University, Atlanta, GA, USA, September 15, 2010.
6. La matematica del sistema cardiovascolare: fondamenti di interazione fluido-struttura. Diparti-mento di Ingegneria Aerospaziale, Universit`a degli Studi di Napoli, June 7, 2011.
7. Partitioned algortihms for the numerical solution of the fluid-structure interaction problem in haemodynamics. Centre de Recerca Matematica, Facultat de Ci´ences UAB, Barcelona, Spain, January 26-28, 2012.
Organization of events
1. Organizer of the workhop “Stents a Rilascio di Farmaco. Aspetti clinici e tecnologici “, MOX – Laboratory for Modeling and Scientific Computing, Dipartimento di Matematica, Politecnico di Milano, May 9, 2007. Co-organizers: F. Gervaso and P. Zunino.
2. Organizer of the minisymposium “Coupled problems in fluid mechanics and fluid-structure inter-action”, X SIMAI Biannual Conference 2010, Cagliari, Italy, June 21-25, 2010. Co-organizers: S. Badia, F. Nobile and J. Principe.
3. Organizer of the minisymposium “Recent developments on modelling fluid-structure interaction problems in haemodynamics”, 2nd International Conference on Computational and Mathematical Biomedical Engineering (Compbiomed 2011), Washington, DC, USA, March 30-April 1, 2011. Co-organizers: L. Formaggia and F. Nobile.
4. Organizer of the minisymposium “Inverse vascular mathematics”, 2nd International Conference on Computational and Mathematical Biomedical Engineering (Compbiomed 2011), Washington, DC, USA, March 30-April 1, 2011. Co-organizer: A. Veneziani.
5. Organizer of the minisymposium “Computational and statistical methods for biomedical applica-tions”, XI SIMAI Biannual Conference 2012, Torino, Italy, June 25-28, 2012. Co-organizer: L. Sangalli.
6. Organizer of the minisymposium “Multi-physics Modeling & Applications of the Cardiovascular System”, 3rd International Conference on Computational and Mathematical Biomedical Engineer-ing (Compbiomed 2013), Hong Kong, Decemeber 16-18, 2013. Co-organizers: M. Behr, A. Figueroa, L. Formaggia, J.F. Gerbeau.
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Refresher Activity
Participation to Summer Schools, Courses and other Activities
1. “Novel methods for solving convection dominated systems”, Von Karman Institute Lecture Series, Rhode-St-Genese, Belgium, March 2003.
2. “Biological fluid-dynamics”, Von Karman Institute Lecture Series, Rhode-St-Genese, Belgium, May 2003.
3. “Mathematical Modelling of the Cardiovascular System”, Summer School organized within the European Research Training Network “HAEMODEL”, Ecole Polytecnique Federale de Lausanne (EPFL), Lausanne, Switzerland, August 25-30, 2003. Lecturers: A. Quarteroni, A. Veneziani, F. Nobile, P. Zunino, A. Sequeira, K. Perktold, Y. Maday, V. Milisic, J.F. Gerbeau.
4. “Mathematics and Applications in Biology and Medicine”, Summer School within CEMRACS 2004, Marseille, France, July 26-30, 2004. Lecturers: A. Quarteroni, A. Raoult, J. Sainte-Marie, P. Frey. 5. “Mathematics and Applications in Biology and Medicine”, Research Center within CEMRACS
2004, Marseille, France, July 26 - September 3, 2004.
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Refereeing Activity
Reviewer of PhD Theses
1. Referee and committee member of the Ph.D thesis in Mathematics of P. Crosetto, Ecole Polytec-nique Federale de Lausanne (EPFL). Title of the thesis: “Fluid-Structure Interaction Problems in Hemodynamics: Parallel Solvers, Preconditioners, and Applications”. Advisors: A. Quarteroni and S. Deparis. July 2011.
2. Member of the Doctoral Studies Panel assigned to the PhD student Lucas Muller, Universit`a di Trento, Italy. 2011-onwards.
3. Committee member of the Ph.D thesis in Mathematics of L. Facchini, Universit`a di Trento. Title of the thesis: “Mathematical modelling of transport across blood vessel walls”. Advisors: E. Toro and A. Bellin. December 2013.
4. Referee and committee member of the Ph.D thesis in ”Mathematical Models and Methods in En-gineering” of L. Cattaneo, MOX, Dipartimento di Matematica, Politecnico di Milano. Title of the thesis: “FEM for PDEs with unfitted interfaces: Application to flow through heterogeneous media and microcirculation”. Advisor: P. Zunino. January 2014.
Reviewer of MSc Theses
1. C. Fustinoni,Integrazione del metodo a parametri concentrati con un codice a elementi finiti:analisi numerica di una heat-pipe,MSc in Mechanical Engineering, University of Bergamo - Accademic year ’07-’08. Advisor: M. Marengo.
2. A. Porpora, Analisi, Approssimazione e Applicazione di Condizioni al Bordo Difettive in Emodi-namica, MSc in Mathematical Engineering, Politecnico di Milano - Academic Year ’08-’09. Advisor: P. Zunino.
Refereeing Activity for scientific journals
Journal of Computational Physics, 2 papersNumerische Matematik, 1 paper
SIAM Journal of Scientific Computing, 2 papers
Computer Methods in Applied Mechanics and Engineering, 5 papers International Journal for Numerical Method in Engineering, 1 paper Biomechanics and Modeling in Mechanobiology, 1 paper
Journal of Biomechanics, 2 papers
Annals of Biomedical Engineering, 1 paper
ASME - Journal of Biomechanical Engineering, 1 paper
International Journal for Numerical Methods in Fluids, 2 paper
International Journal for Numerical Method in Biomedical Engineering, 3 papers Computer and fluids, 1 paper
Applications and Applied Mathematics, 1 paper
Theoretical and Computational Fluid Dynamics, 1 paper Applied Mathematics and Computation, 1 paper
Journal of Computational and Applied Mathematics, 2 papers Communications in Numerical Methods in Engineering, 1 paper
Proceedings of the International Conference on Domain Decomposition Methods, 1 paper Esaim Proceedings, 2 papers
Mathematical Problems in Engineering, 1 paper Mathematics and Computers in Simulation, 1 paper
Modelling of Physiological Flows (eds. Springer), 2 chapters
Other
October 2009 - onwards. Reviewer of 32 papers for theAmerican Mathematical Society (AMS).
September 2012 - onwards Reviewer for the Executive Board of the Austrian Science Fund (1 project).
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Other Activities
Istitutional Services at Universit`
a degli Studi di Bergamo
October 19, 2010. Member of the evaluation committee for the research fellowship ”Modelli matem-atici per l’analisi di un mercato dell’energia elettrica caratterizzato dalla presenza di un produttore dominante”.
December 7, 2011. Member of the evaluation committee for the research fellowship ”Metodi numerici per il problema dell’interazione fluido-struttura in emodinamica computazionale”.
May 24, 2012. Member of the committee for the choice of the criteria to assign the faculty fundings within theDipartimento di Ingeneria dell’Informazione e Metodi Matematici.
2008-onwards. 6 times as member of the thesis evaluation committee for Informatic, Civil, Financial and Mechanical Engineers.
December 2010, onwards. 2 times as assistant at the admission test to enrol at the Engineering Faculty.
December 2012, onwards. Responible of the TOLC exam for the admission of the new students to the Faculty of Engineering.
Professional Societies
- Member of the GNCS-IndAM “Gruppo Nazionale per il Calcolo Scientifico” (since 2003). - Member of SIMAI “Society for Industrial and Applied Mathematics” (since 2004). - Member of UMI “Italian Mathematical Union” (since 2012).