Researchers  Staff  Associates

Daniele Prada

Role: Researcher
CNR-IMATI: PAVIA
+39 0382 548202

    • Development, analysis and implementation of virtual element methods (VEM), discontinuous Galerkin and hybridizable discontinuous Galerkin methods for diffusion-advection-reaction problems, elastodynamics, nonlinear poroviscoelasticity.
    • Development, analysis and implementation of FETI-DP and AMG preconditioners for VEM.
    • Polyhedral mesh generation.
    • GPU programming.
    • Development of mathematical models and numerical methods to describe the mechanics and hemodynamics of the eye.

     

  • Education

    • 2013-2016: Ph.D. in Applied Mathematics, Indiana University-Purdue University Indianapolis (IUPUI), Indianapolis, USA. Thesis: A Hybridizable Discontinuous Galerkin Method for Nonlinear Porous Media Viscoelasticity With Applications in Ophthalmology.
    • 2007-2012: M.Sc. in Mathematical Engineering, Politecnico di Milano, Milano, Italy. Thesis: Multiobjective Optimization For Parameter Extraction Of Power Electronics Devices.
    • 2003-2007: B.Sc. in Aerospace Engineering, Politecnico di Milano, Milano, Italy. Thesis: Data mining on the Palamede microsatellite.

     

    Appointments

    • June 2018-present: Researcher at Istituto di Matematica Applicata e Tecnologie Informatiche "Enrico Magenes" del CNR, Pavia, Italy.
    • January 2017-May 2018: Post doctoral researcher at Istituto di Matematica Applicata e Tecnologie Informatiche "Enrico Magenes" del CNR, Pavia, Italy.
    • January 2013-December 2016: Graduate Teaching Assistant, IUPUI, Indianapolis, USA. Classes: MATH 16500 (Analytic Geometry and Calculus I), MATH 16600 MATH 16500 (Analytic Geometry and Calculus II), MATH 26100 (Multivariate Calculus), MATH 26600 (Ordinary Differential Equations), STAT 30100 (Elementary Statistical Methods I).
    • January 2015-June 2015, January 2016-June 2016: visiting Ph.D. student at Institut de Recherche en Mathématiques, Interactions et Applications (LabEx IRMIA), Université de Strasbourg, Strasbourg, France.
    • August 2015-December 2015: Instructor for MATH 22100 (Calculus for Technology), IUPUI, Indianapolis, USA.
    • February 2011-October 2011: Trainee, ABB Switzerland Ltd, Corporate Research, Dättwil.

     

    Certifications

    • November 2018 - present: Neural networks and Deep Learning. Coursera, License ZZTMGAWWQXLD

     

    Grants and Awards

    • October 2018: Finanziamento GNCS Giovani Ricercatori 2018.
    • March 2016: Yuri Abramovich Memorial Scholarship, IUPUI Department of Mathematical Sciences.
    • March 2016: Society of Industrial and Applied Mathematics (SIAM) Student Travel Award.
    • March 2016: IUPUI Graduate Office Travel Fellowship Award.
    • April 2014: IUPUI Outstanding Beginning Graduate Student Award in Mathematics.
    • January 2013: IUPUI School of Science Fellowship.

     

    Invited Lectures

    • Maggio 2015: IRMA seminar, Université de Strasbourg, Strasbourg, France.
    • Aprile 2014: Multidisciplinary approaches in the study of biological fluids and tissues: mathematical modeling and clinical experience. Politecnico di Milano, Milano, Italy.

     

    Conference Presentations

    • S.Bertoluzza, M. Pennacchio, D. Prada. FETI-DP for the three-dimensional virtual element method, 25th International Domain Decomposition Conference, St. John, Newfoundland, Canada, 23-27 July 2018.
    • S. Bertoluzza, I. Perugia, D. Prada, Stabilizing DG Methods on Polygonal Meshes via Computable Dual Norms, 13th World Congress in Computational Mechanics, New York, USA, 23-27 July 2018.
    • S. Bertoluzza, D. Prada. Virtual element modeling of the perfusion of the lamina cribrosa, 13th World Congress in Computational Mechanics, New York, USA, 23-27 July 2018.
    • S. Bertoluzza, M. Pennacchio, D. Prada. A high order virtual element method on curved domains. SIMAI 2018, Rome, Italy, 2-6 July 2018.
    • D. Prada. Virtual element modeling of capillary distribution in the optic nerve head. 6th European Conference on Computational Mechanics and 7th European Conference on Computational Fluid Dynamics, ECCM – ECFD 2018, Glasgow, UK, 11-15 June 2018.
    • D. Prada. Virtual element modeling of the perfusion of the lamina cribrosa. MediolaNUM 2018, Università di Milano Bicocca, 10 May 2018.
    • C. Prud’homme, D. Prada et al. Advances in Feel++: an open-source C++ framework for solving PDEs with applications in health, physics and industry. European Conference on Numerical Mathematics and Advanced Applications (ENUMATH 2017), 25–29 September 2017, Bergen, Norway.
    • S. Bertoluzza, M. Pennacchio and D. Prada. FETI-DP preconditioners for the Virtual Element Method in two and three dimensions. European Conference on Numerical Mathematics and Advanced Applications (ENUMATH 2017), 25–29 September 2017, Bergen, Norway.
    • S. Bertoluzza, M. Pennacchio and D. Prada. FETI-DP and BDDC preconditioners for the Virtual Element Method in 2D and 3D. 19th International Conference on Finite Elements in Flow Problems (FEF 2017), 5–7 April 2017, Rome, Italy.
    • D. Prada, G. Guidoboni, B. Cockburn, R. Sacco, B. A. Siesky and A. Harris. A Hybridizable Discontinuous Galerkin Method for Porous Media Viscoelasticity. 12th World Congress on Computational Mechanics (WCCM 2016), Seoul, South Korea.
    • D. Prada, R. Sacco, B. Cockburn, L. Bociu, J. Webster, B. A. Siesky, A. Harris and G. Guidoboni. Influence of tissue viscoelasticity on the optic nerve head perfusion: a mathematical model. Association for Research in Vision and Opthalmology (ARVO) 2016 annual meeting, Seattle, WA, USA.
    • A. Hungria, D. Prada, F. J. Sayas. Hybridizable discontinuous Galerkin methods for elastodynamics. Fifth Chilean Workshop on Numerical Analysis of Partial Differential Equations (WONAPDE 2016), Concepción, Chile.
    • D. Prada, G. Guidoboni, S. Terragni, R. Sacco, P. Causin, B. A. Siesky and A. Harris. Multiphase model for the perfusion of the lamina cribrosa in the optic nerve head. 7th International Conference on Porous Media (InterPore 2015), Padova, Italy.
    • D. Prada, G. Guidoboni, S. Terragni, R. Sacco, P. Causin, B. A. Siesky and A. Harris. Effect of scleral anchorage on the perfusion of the lamina cribrosa. 11th World Congress on Computational Mechanics (WCCM 2014), Barcelona, Spain.
    • D. Prada, G. Guidoboni, S. Terragni, R. Sacco, P. Causin, B. A. Siesky and A. Harris. Effect of scleral anchorage on the perfusion of the lamina cribrosa. Association for Research in Vision and Opthalmology (ARVO) 2014 annual meeting, Orlando, FL, USA.

     

    Publications

    Articles

    • S. Bertoluzza, M. Pennacchio, D. Prada, High order VEM on curved domains. arXiv:1811.04755, 2018. link
    • S. Bertoluzza, and D. Prada. A Polygonal Discontinuous Galerkin Method with Minus One Stabilization. arXiv:1805.04196, 2018. link
    • S. Bertoluzza, M. Pennacchio, D. Prada, and M. Livesu. FETI-DP preconditioners for the Virtual Element Method on general 2D meshes. Accepted for publication in Numerical Mathematics and Advanced Applications ENUMATH 2017.
    • A. Hungria, D. Prada, and F. J. Sayas. HDG methods for elastodynamics. Computers & Mathematics with Applications, 74(11):2671–2690, 2017. link
    • S. Bertoluzza, M. Pennacchio, and D. Prada. BDDC and FETI-DP for the virtual element method. Calcolo, 54(4):1565–1593, 2017. link
    • D. Prada. A Hybridizable Discontinuous Galerkin Method for Nonlinear Porous Media Viscoelasticity with Applications in Ophthalmology. PhD dissertation, Indiana University-Purdue University Indianapolis, December 2016. link
    • D. Prada, A. Harris, G. Guidoboni, B. Siesky, A.M. Huang, and J. Arciero. Autoregulation and neurovascular coupling in the optic nerve head. Survey of Ophthalmology, 61(2):164–186, 2016. link
    • D. Prada, M. Bellini, I. Stevanovic, L. Lemaitre, J. Victory, J. Vobecky, R. Sacco, and P. Lauritzen. On the performance of multiobjective evolutionary algorithms in automatic parameter extraction of power diodes. Power Electronics, IEEE Transactions on, 30(9):4986–4997, September 2015. link
    • P. Causin, G. Guidoboni, A. Harris, D. Prada, R. Sacco, and S. Terragni. A poroelastic model for the perfusion of the lamina cribrosa in the optic nerve head. Mathematical Biosciences, 257(0):33 – 41, 2014. link
    • M. Bellini, I. Stevanovic, and D. Prada. Improved lumped charge model for high voltage power diode and automated extraction procedure. In Bipolar/BiCMOS Circuits and Technology Meeting (BCTM), 2011 IEEE, pages 49–52, Oct 2011. link

     

    Book Chapters

    • A. Harris, J. Gross, D. Prada, B. Siesky, A. C. Verticchio Vercellin, L. Saint, G. Guidoboni. The relationship between cerebrospinal fluid pressure and blood flow in the retina and optic nerve. To appear in N. Wang (ed.), Intraocular and Intracranial Pressure Gradient in Glaucoma, Advances in Visual Science and Eye Disease 1, Springer Nature Singapore Pte Ltd. 2019
    • J. Gross, D. Prada. Measurement of geometrical and functional parameters related to ocular blood flow. To appear in Mathematical Modeling of Ocular Fluid Dynamics: From Theory to Clinical Applications. Editors: G. Guidoboni, A. Harris, R. Sacco. Springer-Birkhauser (New York). Book series: Modeling and Simulation in Science, Engineering, and Technology.
    • A. Harris, L. W. Rowe, D. Prada, B. Siesky, A. C. Verticchio Vercellin, G. Guidoboni. Anatomy and Physiology of Ocular Blood Flow. To appear in Mathematical Modeling of Ocular Fluid Dynamics: From Theory to Clinical Applications. Editors: G. Guidoboni, A. Harris, R. Sacco. Springer-Birkhauser (New York). Book series: Modeling and Simulation in Science, Engineering, and Technology.

     

    Journal Reviews

    • 2018-present: Journal of the Royal Society Interface
    • 2017-present: Numerical Mathematics and Advanced Applications
    • 2016-present: Eye - Nature

     

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