Journal Articles

• S. Bertoluzza, M. Pennacchio, D. Prada. Interior estimates for the virtual element method. Numer. Math. 2024.

• F. Credali, S. Bertoluzza, D. Prada. Reduced basis stabilization and post-processing for the virtual element method. Comput. Methods Appl. Mech. Engrg. 420, 2024.

• S. Bertoluzza, G. Guidoboni, R. Hild, D. Prada et al. A HDG Method for Elliptic Problems with Integral Boundary Condition: Theory and Applications. J Sci Comput 95, 6 (2023).

• S. Bertoluzza, M. Pennacchio, and D. Prada. Weakly imposed Dirichlet boundary conditions for 2D and 3D Virtual Elements. Comput. Methods Appl. Mech. Engrg. 400, 2022.

• L. Bociu, G. Guidoboni, D. Prada, and R. Sacco. Numerical simulation and analysis of multiscale interface coupling between a poroelastic medium and a lumped hydraulic circuit: comparison between functional iteration and operator splitting methods. Journal of Computational Physics 466, 2022.

• S. Bertoluzza, G. Manzini, M. Pennacchio, and D. Prada. Stabilization of the nonconforming Virtual Element Method. Computers and Mathematics with Applications (online), 2021.

• S. Bertoluzza, I. Perugia, and D. Prada. A p-robust polygonal discontinuous Galerkin method with minus one stabilization. M3AS, 31(13): 2695–2731, 2021.

• M. Attene, S. Biasotti, S. Bertoluzza, D. Cabiddu, M. Livesu, G. Patanè, M. Pennacchio, D. Prada, and M. Spagnuolo. Benchmarking the geometrical robustness of a Virtual Element Poisson solver. Mathematics and Computers in Simulation, 190: 1392-1414, 2021.

• S. Bertoluzza, and D. Prada. A polygonal discontinuous Galerkin method with minus one stabilization. ESAIM:M2AN, 55:S785–S810, 2021.

• P. F. Antonietti, S. Bertoluzza, D. Prada, and M. Verani. The Virtual Element Method for a Minimal Surface Problem. Calcolo, 57, 2020.

• S. Bertoluzza, M. Pennacchio, D. Prada. FETI-DP for the three-dimensional Virtual Element Method. SIAM J. Numer. Anal., 58(3):1556–1591, 2020.

• S. Bertoluzza, M. Pennacchio, and D. Prada. High Order VEM on Curved Domains. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 30 (2019), 391-412.

• A. Hungria, D. Prada, and F. J. Sayas. HDG methods for elastodynamics. Computers & Mathematics with Applications, 74(11):2671–2690, 2017.

• S. Bertoluzza, M. Pennacchio, and D. Prada. BDDC and FETI-DP for the virtual element method. Calcolo, 54(4):1565–1593, 2017.

• 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.

• 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. IEEE Transactions on Power Electronics, 30(9):4986–4997, September 2015.

• 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. Multiscale models and methods in biomedicine.

Technical Reports

• S. Bertoluzza, M. Montardini, M. Pennacchio, and D. Prada. The virtual element method on image-based domain approximations. arXiv:2206.03449, 2022.

• D. Prada, and M. Pennacchio. Algebraic Multigrid Methods For Virtual Element Discretizations: A Numerical Study. arXiv:1812.02161, 2018.

Conference Proceedings

• S. Bertoluzza, M. Pennacchio, D. Prada, and M. Livesu. FETI-DP preconditioners for the Virtual Element Method on general 2D meshes. Numerical Mathematics and Advanced Applications ENUMATH 2017, pages 157–164, Springer Nature Switzerland AG, 2019.

• 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.

Book Chapters

• T. Sorgente, D. Prada, D. Cabiddu et al. VEM and the Mesh. In: Antonietti, P.F., Beirão da Veiga, L., Manzini, G. (eds) The Virtual Element Method and its Applications. SEMA SIMAI Springer Series, vol 31. Springer, Cham, 2022.

• A. Harris, J. Gross, D. Prada, B. Siesky, A. C. Verticchio Vercellin, L. Saint, and G. Guidoboni. The relationship between cerebrospinal fluid pressure and blood flow in the retina and optic nerve. In Ningli Wang (ed.), Intraocular and Intracranial Pressure Gradient in Glaucoma, chapter 33, pages 225-238, Book Series: Advances in Visual Science and Eye Diseases 1, Springer Singapore, 2019.

• D. Prada, A. Harris, G. Guidoboni, L. Rowe, A. C. Verticchio Vercellin, and S. Mathew. Vascular Anatomy and Physiology of the Eye. In G. Guidoboni, A. Harris, R. Sacco (eds.), Ocular Fluid Dynamics: Anatomy, Physiology, Imaging Techniques, and Mathematical Modeling, chapter 2, pages 23-45, Book series: Modeling and Simulation in Science, Engineering, and Technology, Springer Nature Switzerland AG, 2019.

• D. Prada, L. Rowe, A. Hajrasouliha, T. Ciulla, I. Januleviciene, G. Chiaravalli, G. Guidoboni, and A. Harris. Pathological Consequences of Vascular Alterations in the Eye. In G. Guidoboni, A. Harris, R. Sacco (eds.), Ocular Fluid Dynamics: Anatomy, Physiology, Imaging Techniques, and Mathematical Modeling, chapter 3, pages 47-70, Book series: Modeling and Simulation in Science, Engineering, and Technology, Springer Nature Switzerland AG, 2019.

• J. Gross and D. Prada. Measurement of geometrical and functional parameters related to ocular blood flow. In G. Guidoboni, A. Harris, R. Sacco (eds.), Ocular Fluid Dynamics: Anatomy, Physiology, Imaging Techniques, and Mathematical Modeling, chapter 4, pages 71-99, Book series: Modeling and Simulation in Science, Engineering, and Technology, Springer Nature Switzerland AG, 2019.

Abstracts on ISI Journals

• L. Sala, C. Prud’homme, D. Prada et al. Patient-Specific Virtual Simulator of Tissue Perfusion in the Lamina Cribrosa. Invest Ophthalmol Vis Sci, 58(8), Meeting Abstract 727, June 2017.

• D. Prada, R. Sacco, B. Cockburn, et al. Influence of tissue viscoelasticity on the optic nerve head perfusion: a mathematical model. Invest Ophthalmol Vis Sci, 57(12), Meeting Abstract 3558, September 2016.

• D. Prada, G. Guidoboni, S. Terragni, Effect of scleral anchorage on the perfusion of the lamina cribrosa. Invest Ophthalmol Vis Sci, 55(13), Meeting Abstract 4255, April 2014.

PhD Dissertation

D. Prada. A Hybridizable Discontinuous Galerkin Method for Nonlinear Porous Media Viscoelasticity with Applications in Ophthalmology. Indiana University-Purdue University Indianapolis, December 2016.