Publications

  1. Francesco Ballarin, Giulia Bevilacqua, Luca Lussardi, and Afredo Marzocchi. Elastic membranes spanning deformable boundaries. Submitted, 2022. arXiv:2207.13614.

  2. Francesco Ballarin, Gianluigi Rozza, and Maria Strazzullo. Space-time POD-Galerkin approach for parametric flow control. In Emmanuel Trélat and Enrique Zuazua, editors, Numerical Control: Part A, volume 23 of Handbook of Numerical Analysis, pages 307–338. Elsevier, 2022. arXiv:2011.12101, doi:10.1016/bs.hna.2021.12.009.

  3. Teeratorn Kadeethum, Francesco Ballarin, Youngsoo Choi, Daniel O'Malley, Hongkyu Yoon, and Nikolaos Bouklas. Non-intrusive reduced order modeling of natural convection in porous media using convolutional autoencoders: comparison with linear subspace techniques. Advances in Water Resources, 160:104098, 2022. arXiv:2107.11460, doi:10.1016/j.advwatres.2021.104098.

  4. Teeratorn Kadeethum, Francesco Ballarin, Daniel O'Malley, Youngsoo Choi, Nikolaos Bouklas, and Hongkyu Yoon. Reduced order modeling for flow and transport problems with Barlow twins self-supervised learning. Submitted, 2022. arXiv:2202.05460.

  5. Efthymios N. Karatzas, Monica Nonino, Francesco Ballarin, and Gianluigi Rozza. A reduced order cut finite element method for geometrically parametrized steady and unsteady Navier–Stokes problems. Computers & Mathematics with Applications, 116:140–160, 2022. arXiv:2010.04953, doi:10.1016/j.camwa.2021.07.016.

  6. Monica Nonino, Francesco Ballarin, Gianluigi Rozza, and Yvon Maday. Projection based semi–implicit partitioned reduced basis method for non parametrized and parametrized fluid–structure interaction problems. Submitted, 2022. arXiv:2201.03236.

  7. Simona Perotto, Gloria Bellini, Francesco Ballarin, Karol Calò, Valentina Mazzi, and Umberto Morbiducci. Isogeometric hierarchical model reduction for advection-diffusion process simulation in microchannels. Submitted, 2022. arXiv:2205.08127.

  8. Federico Pichi, Maria Strazzullo, Francesco Ballarin, and Gianluigi Rozza. Driving bifurcating parametrized nonlinear PDEs by optimal control strategies: application to Navier-Stokes equations with model order reduction. ESAIM: M2AN, 56(4):1361–1400, 2022. arXiv:2010.13506, doi:10.1051/m2an/2022044.

  9. Pierfrancesco Siena, Michele Girfoglio, Francesco Ballarin, and Gianluigi Rozza. Data-driven reduced order modelling for patient-specific hemodynamics of coronary artery bypass grafts with physical and geometrical parameters. Submitted, 2022. arXiv:2203.13682.

  10. Maria Strazzullo, Francesco Ballarin, and Gianluigi Rozza. POD-Galerkin model order reduction for parametrized nonlinear time-dependent optimal flow control: an application to shallow water equations. Journal of Numerical Mathematics, 3(1):63–84, 2022. arXiv:2003.09695, doi:10.1515/jnma-2020-0098.

  11. Maria Strazzullo, Michele Girfoglio, Francesco Ballarin, Traian Iliescu, and Gianluigi Rozza. Consistency of the full and reduced order models for evolve-filter-relax regularization of convection-dominated, marginally-resolved flows. International Journal for Numerical Methods in Engineering, 123(14):3148–3178, 2022. arXiv:2110.05093, doi:10.1002/nme.6942.

  1. Shafqat Ali, Francesco Ballarin, and Gianluigi Rozza. A reduced basis stabilization for the unsteady Stokes and Navier-Stokes equations. Submitted, 2021. arXiv:2103.03553.

  2. Giuseppe Carere, Maria Strazzullo, Francesco Ballarin, Gianluigi Rozza, and Rob Stevenson. A weighted POD-reduction approach for parametrized PDE-constrained optimal control problems with random inputs and applications to environmental sciences. Computers & Mathematics with Applications, 102:261–276, 2021. arXiv:2103.00632, doi:10.1016/j.camwa.2021.10.020.

  3. Elisa Fevola, Francesco Ballarin, Laura Jiménez-Juan, Stephen Fremes, Stefano Grivet-Talocia, Gianluigi Rozza, and Piero Triverio. An optimal control approach to determine resistance-type boundary conditions from in-vivo data for cardiovascular simulations. International Journal for Numerical Methods in Biomedical Engineering, 37(10):e3516, 2021. arXiv:2104.13284, doi:10.1002/cnm.3516.

  4. Michele Girfoglio, Leonardo Scandurra, Francesco Ballarin, Giuseppe Infantino, Francesca Nicolò, Andrea Montalto, Gianluigi Rozza, Roberto Scrofani, Marina Comisso, and Francesco Musumeci. Non-intrusive data-driven ROM framework for hemodynamics problems. Acta Mechanica Sinica, 37:1183–1191, 2021. arXiv:2010.08139, doi:10.1007/s10409-021-01090-2.

  5. Teeratorn Kadeethum, Francesco Ballarin, and Nikolaos Bouklas. Data-driven reduced order modeling of poroelasticity of heterogeneous media based on a discontinuous Galerkin approximation. GEM - International Journal on Geomathematics, 12:12, 2021. arXiv:2101.11810, doi:10.1007/s13137-021-00180-4.

  6. Teeratorn Kadeethum, Sanghyun Lee, Francesco Ballarin, Jinhyun Choo, and Hamid M. Nick. A locally conservative mixed finite element framework for coupled hydro-mechanical-chemical processes in heterogeneous porous media. Computers & Geosciences, 152:104774, 2021. arXiv:2010.04994, doi:10.1016/j.cageo.2021.104774.

  7. Teeratorn Kadeethum, Hamid M. Nick, Sanghyun Lee, and Francesco Ballarin. Enriched Galerkin discretization for modeling poroelasticity and permeability alteration in heterogeneous porous media. Journal of Computational Physics, 427:110030, 2021. arXiv:2010.06653, doi:10.1016/j.jcp.2020.110030.

  8. Monica Nonino, Francesco Ballarin, and Gianluigi Rozza. A monolithic and a partitioned, reduced basis method for fluid-structure interaction problems. Fluids, 6(6):229, 2021. arXiv:2104.09882, doi:10.3390/fluids6060229.

  9. Federico Pichi, Francesco Ballarin, Gianluigi Rozza, and Jan S. Hesthaven. An artificial neural network approach to bifurcating phenomena in computational fluid dynamics. Submitted, 2021. arXiv:2109.10765.

  10. Nirav V. Shah, Michele Girfoglio, Peregrina Quintela, Gianluigi Rozza, Alejandro Lengomin, Francesco Ballarin, and Patricia Barral. Finite element based model order reduction for parametrized one-way coupled steady state linear thermomechanical problems. Submitted, 2021. arXiv:2111.08534.

  11. Maria Strazzullo, Francesco Ballarin, and Gianluigi Rozza. A certified reduced basis method for linear parametrized parabolic optimal control problems in space-time formulation. Submitted, 2021. arXiv:2103.00460.

  12. Maria Strazzullo, Zakia Zainib, Francesco Ballarin, and Gianluigi Rozza. Reduced order methods for parametrized non-linear and time dependent optimal flow control problems, towards applications in biomedical and environmental sciences. In Fred J. Vermolen and Cornelis Vuik, editors, Numerical Mathematics and Advanced Applications ENUMATH 2019, 841–850. Springer International Publishing, 2021. arXiv:1912.07886, doi:10.1007/978-3-030-55874-1_83.

  13. Zakia Zainib, Francesco Ballarin, Stephen Fremes, Piero Triverio, Laura Jiménez-Juan, and Gianluigi Rozza. Reduced order methods for parametric optimal flow control in coronary bypass grafts, towards patient-specific data assimilation. International Journal for Numerical Methods in Biomedical Engineering, 37(12):e3367, 2021. arXiv:1911.01409, doi:10.1002/cnm.3367.

  14. Matteo Zancanaro, Francesco Ballarin, Simona Perotto, and Gianluigi Rozza. Hierarchical model reduction techniques for flow modeling in a parametrized setting. Multiscale Modeling & Simulation, 19(1):267–293, 2021. arXiv:1909.01668, doi:10.1137/19M1285330.

  1. Shafqat Ali, Francesco Ballarin, and Gianluigi Rozza. Stabilized reduced basis methods for parametrized steady Stokes and Navier-Stokes equations. Computers & Mathematics with Applications, 80(11):2399–2416, 2020. arXiv:2001.00820, doi:10.1016/j.camwa.2020.03.019.

  2. Francesco Ballarin, Tomás Chacón Rebollo, Enrique Delgado Ávila, Macarena Gómez Mármol, and Gianluigi Rozza. Certified reduced basis VMS-Smagorinsky model for natural convection flow in a cavity with variable height. Computers & Mathematics with Applications, 80(5):973–989, 2020. arXiv:1902.05729, doi:10.1016/j.camwa.2020.05.013.

  3. Michele Girfoglio, Francesco Ballarin, Giuseppe Infantino, Francesca Nicolò, Andrea Montalto, Gianluigi Rozza, Roberto Scrofani, Marina Comisso, and Francesco Musumeci. Non-intrusive PODI-ROM for patient-specific aortic blood flow in presence of a LVAD device. Submitted, 2020. arXiv:2007.03527.

  4. Saddam Hijazi, Shafqat Ali, Giovanni Stabile, Francesco Ballarin, and Gianluigi Rozza. The effort of increasing reynolds number in projection-based reduced order methods: from laminar to turbulent flows. In Harald van Brummelen, Alessandro Corsini, Simona Perotto, and Gianluigi Rozza, editors, Numerical Methods for Flows: FEF 2017 Selected Contributions, 245–264. Springer International Publishing, 2020. arXiv:1807.11370, doi:10.1007/978-3-030-30705-9_22.

  5. Teeratorn Kadeethum, Hamid M. Nick, Sanghyun Lee, and Francesco Ballarin. Flow in porous media with low dimensional fractures by employing enriched Galerkin method. Advances in Water Resources, 142:103620, 2020. doi:10.1016/j.advwatres.2020.103620.

  6. Efthymios N. Karatzas, Francesco Ballarin, and Gianluigi Rozza. Projection-based reduced order models for a cut finite element method in parametrized domains. Computers & Mathematics with Applications, 79(3):833–851, 2020. arXiv:1901.03846, doi:10.1016/j.camwa.2019.08.003.

  7. Simona Perotto, Michele Giuliano Carlino, and Francesco Ballarin. Model reduction by separation of variables: a comparison between hierarchical model reduction and proper generalized decomposition. In Spencer J. Sherwin, David Moxey, Joaquim Peiró, Peter E. Vincent, and Christoph Schwab, editors, Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018, 61–77. Springer International Publishing, 2020. arXiv:1811.11486, doi:10.1007/978-3-030-39647-3_4.

  8. Gianluigi Rozza, Martin Hess, Giovanni Stabile, Marco Tezzele, and Francesco Ballarin. Basic ideas and tools for projection-based model reduction of parametric partial differential equations. In Peter Benner, Stefano Grivet-Talocia, Alfio Quarteroni, Gianluigi Rozza, Wil H.A. Schilders, and Luís M. Silveira, editors, Model Order Reduction Volume 2: Snapshot-Based Methods and Algorithms. De Gruyter, 2020. arXiv:1911.08954, doi:10.1515/9783110671490-001.

  9. Maria Strazzullo, Francesco Ballarin, and Gianluigi Rozza. POD–Galerkin model order reduction for parametrized time dependent linear quadratic optimal control problems in saddle point formulation. Journal of Scientific Computing, 83(3):55, 2020. arXiv:1909.09631, doi:10.1007/s10915-020-01232-x.

  1. Francesco Ballarin, Alessandro D'Amario, Simona Perotto, and Gianluigi Rozza. A POD-selective inverse distance weighting method for fast parametrized shape morphing. International Journal for Numerical Methods in Engineering, 117(8):860–884, 2019. arXiv:1710.09243, doi:10.1002/nme.5982.

  2. Monica Nonino, Francesco Ballarin, Gianluigi Rozza, and Yvon Maday. Overcoming slowly decaying Kolmogorov n-width by transport maps: application to model order reduction of fluid dynamics and fluid–structure interaction problems. Submitted, 2019. arXiv:1911.06598.

  3. Giovanni Stabile, Francesco Ballarin, Giacomo Zuccarino, and Gianluigi Rozza. A reduced order variational multiscale approach for turbulent flows. Advances in Computational Mathematics, 45(5):2349–2368, 2019. arXiv:1809.11101, doi:10.1007/s10444-019-09712-x.

  4. Luca Venturi, Francesco Ballarin, and Gianluigi Rozza. A weighted POD method for elliptic PDEs with random inputs. Journal of Scientific Computing, 81(1):136–153, 2019. arXiv:1802.08724, doi:10.1007/s10915-018-0830-7.

  5. Luca Venturi, Davide Torlo, Francesco Ballarin, and Gianluigi Rozza. Weighted reduced order methods for parametrized partial differential equations with random inputs. In Flavio Canavero, editor, Uncertainty Modeling for Engineering Applications, 27–40. Springer International Publishing, 2019. arXiv:1805.00828, doi:10.1007/978-3-030-04870-9_2.

  1. Maria Strazzullo, Francesco Ballarin, Renzo Mosetti, and Gianluigi Rozza. Model reduction for parametrized optimal control problems in environmental marine sciences and engineering. SIAM Journal on Scientific Computing, 40(4):B1055–B1079, 2018. arXiv:1710.01640, doi:10.1137/17M1150591.

  2. Marco Tezzele, Francesco Ballarin, and Gianluigi Rozza. Combined parameter and model reduction of cardiovascular problems by means of active subspaces and POD-Galerkin methods. In Daniele Boffi, Luca F. Pavarino, Gianluigi Rozza, Simone Scacchi, and Christian Vergara, editors, Mathematical and Numerical Modeling of the Cardiovascular System and Applications, pages 185–207. Springer International Publishing, Cham, 2018. arXiv:1711.10884, doi:10.1007/978-3-319-96649-6_8.

  3. Davide Torlo, Francesco Ballarin, and Gianluigi Rozza. Stabilized weighted reduced basis methods for parametrized advection dominated problems with random inputs. SIAM/ASA Journal on Uncertainty Quantification, 6(4):1475–1502, 2018. arXiv:1711.11275, doi:10.1137/17M1163517.

  1. Francesco Ballarin, Elena Faggiano, Andrea Manzoni, Alfio Quarteroni, Gianluigi Rozza, Sonia Ippolito, Carlo Antona, and Roberto Scrofani. Numerical modeling of hemodynamics scenarios of patient-specific coronary artery bypass grafts. Biomechanics and Modeling in Mechanobiology, 16(4):1373–1399, 2017. doi:10.1007/s10237-017-0893-7.

  2. Francesco Ballarin, Gianluigi Rozza, and Yvon Maday. Reduced-order semi-implicit schemes for fluid-structure interaction problems. In Peter Benner, Mario Ohlberger, Anthony Patera, Gianluigi Rozza, and Karsten Urban, editors, Model Reduction of Parametrized Systems, volume 17, pages 149–167. Springer International Publishing, 2017. arXiv:1711.10829, doi:10.1007/978-3-319-58786-8_10.

  3. Tomás Chacón Rebollo, Enrique Delgado Ávila, Macarena Gómez Mármol, Francesco Ballarin, and Gianluigi Rozza. On a certified Smagorinsky reduced basis turbulence model. SIAM Journal on Numerical Analysis, 55(6):3047–3067, 2017. arXiv:1709.00243, doi:10.1137/17M1118233.

  4. Francesco Ballarin, Elena Faggiano, Sonia Ippolito, Andrea Manzoni, Alfio Quarteroni, Gianluigi Rozza, and Roberto Scrofani. Fast simulations of patient-specific haemodynamics of coronary artery bypass grafts based on a POD-Galerkin method and a vascular shape parametrization. Journal of Computational Physics, 315:609–628, 2016. doi:10.1016/j.jcp.2016.03.065.

  5. Francesco Ballarin and Gianluigi Rozza. POD–Galerkin monolithic reduced order models for parametrized fluid-structure interaction problems. International Journal for Numerical Methods in Fluids, 82(12):1010–1034, 2016. doi:10.1002/fld.4252.

  6. Filippo Salmoiraghi, Francesco Ballarin, Giovanni Corsi, Andrea Mola, Marco Tezzele, and Gianluigi Rozza. Advances in geometrical parametrization and reduced order models and methods for computational fluid dynamics problems in applied sciences and engineering: overview and perspectives. In Manolis Papadrakakis, Vissarion Papadopoulos, George Stefanou, and Vagelis Plevris, editors, Proceedings of the ECCOMAS Congress 2016, VII European Conference on Computational Methods in Applied Sciences and Engineering. 2016. doi:10.7712/100016.1867.8680.

  7. Filippo Salmoiraghi, Francesco Ballarin, Luca Heltai, and Gianluigi Rozza. Isogeometric analysis-based reduced order modelling for incompressible linear viscous flows in parametrized shapes. Advanced Modeling and Simulation in Engineering Sciences, 3(1):21, 2016. doi:10.1186/s40323-016-0076-6.

  8. Francesco Ballarin. Reduced order models for patient-specific haemodynamics of coronary artery bypass grafts. PhD thesis, Politecnico di Milano, 2015. URL: https://www.politesi.polimi.it/handle/10589/102804.

  9. Francesco Ballarin, Andrea Manzoni, Alfio Quarteroni, and Gianluigi Rozza. Supremizer stabilization of POD–Galerkin approximation of parametrized steady incompressible Navier–Stokes equations. International Journal for Numerical Methods in Engineering, 102(5):1136–1161, 2015. doi:10.1002/nme.4772.

  10. Francesco Ballarin, Andrea Manzoni, Gianluigi Rozza, and Sandro Salsa. Shape optimization by free-form deformation: existence results and numerical solution for Stokes flows. Journal of Scientific Computing, 60(3):537–563, 2014. doi:10.1007/s10915-013-9807-8.

  11. Francesco Ballarin. Shape optimization for tridimensional viscous flows in cardiovascular geometries. Master's thesis, Politecnico di Milano, 2011. URL: https://www.politesi.polimi.it/handle/10589/30601.

  12. Francesco Ballarin and Simone Palamara. Macroscopic models and numerical simulations for traffic flow on networks. Bachelor's thesis, Politecnico di Milano, 2009. URL: https://www.mate.polimi.it/biblioteca/?pp=view&id=277&collezione=tesi&L=i.