Edit Profile (opens in new tab) Ballarin, Francesco Co-Author Distance Author ID: ballarin.francesco Published as: Ballarin, Francesco; Ballarin, F. Homepage: http://www.francescoballarin.it/ External Links: MGP · ORCID · Google Scholar · ResearchGate Documents Indexed: 57 Publications since 2014, including 2 Books and 25 Additional arXiv Preprints Co-Authors: 74 Co-Authors with 57 Joint Publications 1,315 Co-Co-Authors all top 5 Co-Authors 0 single-authored 45 Rozza, Gianluigi 10 Strazzullo, Maria 6 Nonino, Monica 5 Girfoglio, Michele 5 Kadeethum, Teeratorn 5 Stabile, Giovanni 4 Bouklas, Nikolaos 4 Maday, Yvon 4 Perotto, Simona 3 Ali, Shafqat 3 Iliescu, Traian 3 Karatzas, Efthymios N. 3 Lee, Sanghyun 3 Manzoni, Andrea 3 Pichi, Federico 3 Scrofani, Roberto 3 Torlo, Davide 2 Canuto, Claudio 2 Chacón Rebollo, Tomás 2 Choi, Youngsoo 2 Comisso, Marina 2 Delgado Ávila, Enrique 2 Fremes, Stephen 2 Gómez Mármol, Macarena 2 Infantino, Giuseppe 2 Jiménez-Juan, Laura 2 Montalto, Andrea 2 Musumeci, Francesco 2 Nick, Hamidreza M 2 Nicolò, Francesca 2 O’Malley, Daniel 2 Quarteroni, Alfio M. 2 Scandurra, Leonardo 2 Tezzele, Marco 2 Triverio, Piero 2 Venturi, Luca 2 Yoon, Hongkyu 2 Zainib, Zakia 1 Ang, Ida 1 Barral, Patricia 1 Bellini, Gloria 1 Bevilacqua, Giulia 1 Calò, Karol 1 Carere, Giuseppe 1 Carlino, Michele Giuliano 1 Choo, Jinhyun 1 D’Amario, Alessandro 1 Faggiano, Elena 1 Fevola, Elisa 1 Genovese, Julien 1 Grivet-Talocia, Stefano 1 Hess, Martin Wilfried 1 Hesthaven, Jan S. 1 Hijazi, Saddam 1 Hui, Chung-Yuen 1 Ippolito, Sonia 1 Key, Fabian 1 Kim, Jaemin 1 Lengomin, Alejandro 1 Lussardi, Luca 1 Marzocchi, Alfredo 1 Mazzi, Valentina 1 Morbiducci, Umberto 1 Mosetti, Renzo 1 Prusak, Ivan 1 Quintela-Estevez, Peregrina 1 Salsa, Sandro 1 Sanfilippo, Anna 1 Shah, Nirav Vasant 1 Siena, Pierfrancesco 1 Stevenson, Rob P. 1 von Danwitz, Max 1 Zancanaro, Matteo 1 Zuccarino, Giacomo all top 5 Serials 6 Computers & Mathematics with Applications 5 Journal of Scientific Computing 3 International Journal for Numerical Methods in Engineering 2 Journal of Computational Physics 1 Computers and Fluids 1 SIAM Journal on Numerical Analysis 1 SIAM Journal on Scientific Computing 1 Advances in Computational Mathematics 1 Journal of Numerical Mathematics 1 Multiscale Modeling & Simulation 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Computational Science & Engineering 1 GEM - International Journal on Geomathematics 1 SIAM/ASA Journal on Uncertainty Quantification 1 SISSA Springer Series all top 5 Fields 26 Numerical analysis (65-XX) 24 Fluid mechanics (76-XX) 13 Partial differential equations (35-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 6 Mechanics of deformable solids (74-XX) 4 Optics, electromagnetic theory (78-XX) 4 Biology and other natural sciences (92-XX) 4 Mathematics education (97-XX) 2 Computer science (68-XX) 2 Geophysics (86-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Probability theory and stochastic processes (60-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 28 Publications have been cited 342 times in 196 Documents Cited by ▼ Year ▼ Supremizer stabilization of POD-Galerkin approximation of parametrized steady incompressible Navier-Stokes equations. Zbl 1352.76039 Ballarin, Francesco; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi 107 2015 Fast simulations of patient-specific haemodynamics of coronary artery bypass grafts based on a POD-Galerkin method and a vascular shape parametrization. Zbl 1349.76173 Ballarin, Francesco; Faggiano, Elena; Ippolito, Sonia; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi; Scrofani, Roberto 32 2016 On a certified Smagorinsky reduced basis turbulence model. Zbl 1380.65339 Chacón Rebollo, Tomás; Delgado Ávila, Enrique; Mármol, Macarena Gómez; Ballarin, Francesco; Rozza, Gianluigi 27 2017 A reduced order variational multiscale approach for turbulent flows. Zbl 1435.65165 Stabile, Giovanni; Ballarin, Francesco; Zuccarino, Giacomo; Rozza, Gianluigi 26 2019 Model reduction for parametrized optimal control problems in environmental marine sciences and engineering. Zbl 1395.49015 Strazzullo, Maria; Ballarin, Francesco; Mosetti, Renzo; Rozza, Gianluigi 18 2018 Projection-based reduced order models for a cut finite element method in parametrized domains. Zbl 1443.65348 Karatzas, Efthymios N.; Ballarin, Francesco; Rozza, Gianluigi 17 2020 Stabilized reduced basis methods for parametrized steady Stokes and Navier-Stokes equations. Zbl 1524.76206 Ali, Shafqat; Ballarin, Francesco; Rozza, Gianluigi 16 2020 Stabilized weighted reduced basis methods for parametrized advection dominated problems with random inputs. Zbl 1408.35021 Torlo, Davide; Ballarin, Francesco; Rozza, Gianluigi 13 2018 Reduced-order semi-implicit schemes for fluid-structure interaction problems. Zbl 1464.76054 Ballarin, Francesco; Rozza, Gianluigi; Maday, Yvon 9 2017 Shape optimization by free-form deformation: existence results and numerical solution for Stokes flows. Zbl 1303.49017 Ballarin, Francesco; Manzoni, Andrea; Rozza, Gianluigi; Salsa, Sandro 9 2014 POD-Galerkin model order reduction for parametrized time dependent linear quadratic optimal control problems in saddle point formulation. Zbl 1444.49013 Strazzullo, Maria; Ballarin, Francesco; Rozza, Gianluigi 8 2020 Certified reduced basis VMS-Smagorinsky model for natural convection flow in a cavity with variable height. Zbl 1447.65067 Ballarin, Francesco; Chacón Rebollo, Tomás; Delgado Ávila, Enrique; Gómez Mármol, Macarena; Rozza, Gianluigi 7 2020 Consistency of the full and reduced order models for evolve-filter-relax regularization of convection-dominated, marginally-resolved flows. Zbl 07767903 Strazzullo, Maria; Girfoglio, Michele; Ballarin, Francesco; Iliescu, Traian; Rozza, Gianluigi 6 2022 Basic ideas and tools for projection-based model reduction of parametric partial differential equations. Zbl 1518.65120 Rozza, Gianluigi; Hess, Martin; Stabile, Giovanni; Tezzele, Marco; Ballarin, Francesco 6 2021 Reduced order methods for parametrized non-linear and time dependent optimal flow control problems, towards applications in biomedical and environmental sciences. Zbl 1478.49017 Strazzullo, Maria; Zainib, Zakia; Ballarin, Francesco; Rozza, Gianluigi 6 2021 A weighted POD-reduction approach for parametrized PDE-constrained optimal control problems with random inputs and applications to environmental sciences. Zbl 1524.65771 Carere, Giuseppe; Strazzullo, Maria; Ballarin, Francesco; Rozza, Gianluigi; Stevenson, Rob 5 2021 A weighted POD method for elliptic PDEs with random inputs. Zbl 1462.65201 Venturi, Luca; Ballarin, Francesco; Rozza, Gianluigi 5 2019 Driving bifurcating parametrized nonlinear PDEs by optimal control strategies: application to Navier-Stokes equations with model order reduction. Zbl 1497.35389 Pichi, Federico; Strazzullo, Maria; Ballarin, Francesco; Rozza, Gianluigi 5 2022 Enriched Galerkin discretization for modeling poroelasticity and permeability alteration in heterogeneous porous media. Zbl 07510237 Kadeethum, T.; Nick, H. M.; Lee, S.; Ballarin, F. 4 2021 POD-Galerkin model order reduction for parametrized nonlinear time-dependent optimal flow control: an application to shallow water equations. Zbl 1490.65210 Strazzullo, Maria; Ballarin, Francesco; Rozza, Gianluigi 4 2022 Model reduction by separation of variables: a comparison between hierarchical model reduction and proper generalized decomposition. Zbl 1484.65329 Perotto, Simona; Carlino, Michele Giuliano; Ballarin, Francesco 2 2020 Data-driven reduced order modeling of poroelasticity of heterogeneous media based on a discontinuous Galerkin approximation. Zbl 1480.65260 Kadeethum, Teeratorn; Ballarin, Francesco; Bouklas, Nikolaos 2 2021 Hierarchical model reduction techniques for flow modeling in a parametrized setting. Zbl 1468.65209 Zancanaro, Matteo; Ballarin, Francesco; Perotto, Simona; Rozza, Gianluigi 2 2021 Data-driven reduced order modelling for patient-specific hemodynamics of coronary artery bypass grafts with physical and geometrical parameters. Zbl 07682839 Siena, Pierfrancesco; Girfoglio, Michele; Ballarin, Francesco; Rozza, Gianluigi 2 2023 A reduced order cut finite element method for geometrically parametrized steady and unsteady Navier-Stokes problems. Zbl 1524.76215 Karatzas, Efthymios N.; Nonino, Monica; Ballarin, Francesco; Rozza, Gianluigi 1 2022 Projection based semi-implicit partitioned reduced basis method for fluid-structure interaction problems. Zbl 1505.76059 Nonino, Monica; Ballarin, Francesco; Rozza, Gianluigi; Maday, Yvon 1 2023 Advanced reduced order methods and applications in computational fluid dynamics. Zbl 07647935 Rozza, Gianluigi; Stabile, Giovanni; Ballarin, Francesco 1 2023 Space-time POD-Galerkin approach for parametric flow control. Zbl 1495.49003 Ballarin, Francesco; Rozza, Gianluigi; Strazzullo, Maria 1 2022 Data-driven reduced order modelling for patient-specific hemodynamics of coronary artery bypass grafts with physical and geometrical parameters. Zbl 07682839 Siena, Pierfrancesco; Girfoglio, Michele; Ballarin, Francesco; Rozza, Gianluigi 2 2023 Projection based semi-implicit partitioned reduced basis method for fluid-structure interaction problems. Zbl 1505.76059 Nonino, Monica; Ballarin, Francesco; Rozza, Gianluigi; Maday, Yvon 1 2023 Advanced reduced order methods and applications in computational fluid dynamics. Zbl 07647935 Rozza, Gianluigi; Stabile, Giovanni; Ballarin, Francesco 1 2023 Consistency of the full and reduced order models for evolve-filter-relax regularization of convection-dominated, marginally-resolved flows. Zbl 07767903 Strazzullo, Maria; Girfoglio, Michele; Ballarin, Francesco; Iliescu, Traian; Rozza, Gianluigi 6 2022 Driving bifurcating parametrized nonlinear PDEs by optimal control strategies: application to Navier-Stokes equations with model order reduction. Zbl 1497.35389 Pichi, Federico; Strazzullo, Maria; Ballarin, Francesco; Rozza, Gianluigi 5 2022 POD-Galerkin model order reduction for parametrized nonlinear time-dependent optimal flow control: an application to shallow water equations. Zbl 1490.65210 Strazzullo, Maria; Ballarin, Francesco; Rozza, Gianluigi 4 2022 A reduced order cut finite element method for geometrically parametrized steady and unsteady Navier-Stokes problems. Zbl 1524.76215 Karatzas, Efthymios N.; Nonino, Monica; Ballarin, Francesco; Rozza, Gianluigi 1 2022 Space-time POD-Galerkin approach for parametric flow control. Zbl 1495.49003 Ballarin, Francesco; Rozza, Gianluigi; Strazzullo, Maria 1 2022 Basic ideas and tools for projection-based model reduction of parametric partial differential equations. Zbl 1518.65120 Rozza, Gianluigi; Hess, Martin; Stabile, Giovanni; Tezzele, Marco; Ballarin, Francesco 6 2021 Reduced order methods for parametrized non-linear and time dependent optimal flow control problems, towards applications in biomedical and environmental sciences. Zbl 1478.49017 Strazzullo, Maria; Zainib, Zakia; Ballarin, Francesco; Rozza, Gianluigi 6 2021 A weighted POD-reduction approach for parametrized PDE-constrained optimal control problems with random inputs and applications to environmental sciences. Zbl 1524.65771 Carere, Giuseppe; Strazzullo, Maria; Ballarin, Francesco; Rozza, Gianluigi; Stevenson, Rob 5 2021 Enriched Galerkin discretization for modeling poroelasticity and permeability alteration in heterogeneous porous media. Zbl 07510237 Kadeethum, T.; Nick, H. M.; Lee, S.; Ballarin, F. 4 2021 Data-driven reduced order modeling of poroelasticity of heterogeneous media based on a discontinuous Galerkin approximation. Zbl 1480.65260 Kadeethum, Teeratorn; Ballarin, Francesco; Bouklas, Nikolaos 2 2021 Hierarchical model reduction techniques for flow modeling in a parametrized setting. Zbl 1468.65209 Zancanaro, Matteo; Ballarin, Francesco; Perotto, Simona; Rozza, Gianluigi 2 2021 Projection-based reduced order models for a cut finite element method in parametrized domains. Zbl 1443.65348 Karatzas, Efthymios N.; Ballarin, Francesco; Rozza, Gianluigi 17 2020 Stabilized reduced basis methods for parametrized steady Stokes and Navier-Stokes equations. Zbl 1524.76206 Ali, Shafqat; Ballarin, Francesco; Rozza, Gianluigi 16 2020 POD-Galerkin model order reduction for parametrized time dependent linear quadratic optimal control problems in saddle point formulation. Zbl 1444.49013 Strazzullo, Maria; Ballarin, Francesco; Rozza, Gianluigi 8 2020 Certified reduced basis VMS-Smagorinsky model for natural convection flow in a cavity with variable height. Zbl 1447.65067 Ballarin, Francesco; Chacón Rebollo, Tomás; Delgado Ávila, Enrique; Gómez Mármol, Macarena; Rozza, Gianluigi 7 2020 Model reduction by separation of variables: a comparison between hierarchical model reduction and proper generalized decomposition. Zbl 1484.65329 Perotto, Simona; Carlino, Michele Giuliano; Ballarin, Francesco 2 2020 A reduced order variational multiscale approach for turbulent flows. Zbl 1435.65165 Stabile, Giovanni; Ballarin, Francesco; Zuccarino, Giacomo; Rozza, Gianluigi 26 2019 A weighted POD method for elliptic PDEs with random inputs. Zbl 1462.65201 Venturi, Luca; Ballarin, Francesco; Rozza, Gianluigi 5 2019 Model reduction for parametrized optimal control problems in environmental marine sciences and engineering. Zbl 1395.49015 Strazzullo, Maria; Ballarin, Francesco; Mosetti, Renzo; Rozza, Gianluigi 18 2018 Stabilized weighted reduced basis methods for parametrized advection dominated problems with random inputs. Zbl 1408.35021 Torlo, Davide; Ballarin, Francesco; Rozza, Gianluigi 13 2018 On a certified Smagorinsky reduced basis turbulence model. Zbl 1380.65339 Chacón Rebollo, Tomás; Delgado Ávila, Enrique; Mármol, Macarena Gómez; Ballarin, Francesco; Rozza, Gianluigi 27 2017 Reduced-order semi-implicit schemes for fluid-structure interaction problems. Zbl 1464.76054 Ballarin, Francesco; Rozza, Gianluigi; Maday, Yvon 9 2017 Fast simulations of patient-specific haemodynamics of coronary artery bypass grafts based on a POD-Galerkin method and a vascular shape parametrization. Zbl 1349.76173 Ballarin, Francesco; Faggiano, Elena; Ippolito, Sonia; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi; Scrofani, Roberto 32 2016 Supremizer stabilization of POD-Galerkin approximation of parametrized steady incompressible Navier-Stokes equations. Zbl 1352.76039 Ballarin, Francesco; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi 107 2015 Shape optimization by free-form deformation: existence results and numerical solution for Stokes flows. Zbl 1303.49017 Ballarin, Francesco; Manzoni, Andrea; Rozza, Gianluigi; Salsa, Sandro 9 2014 all cited Publications top 5 cited Publications all top 5 Cited by 371 Authors 60 Rozza, Gianluigi 24 Ballarin, Francesco 21 Stabile, Giovanni 15 Iliescu, Traian 13 Manzoni, Andrea 10 Karatzas, Efthymios N. 9 Strazzullo, Maria 8 Chacón Rebollo, Tomás 8 Girfoglio, Michele 8 Quarteroni, Alfio M. 7 Demo, Nicola 7 Deparis, Simone 7 Rubino, Samuele 6 Dal Santo, Niccolò 6 Hesthaven, Jan S. 6 Mola, Andrea 6 Mou, Changhong 5 Delgado Ávila, Enrique 5 Gómez Mármol, Macarena 5 Quaini, Annalisa 5 Wang, Zhu 4 Koc, Birgul 4 Maday, Yvon 4 Perotto, Simona 4 Schneier, Michael 4 Scovazzi, Guglielmo 4 Wang, Qian 3 Bouklas, Nikolaos 3 Duraisamy, Karthik 3 Heaney, Claire E. 3 Hess, Martin Wilfried 3 Hijazi, Saddam 3 Hinze, Michael 3 Huang, Ting-Zhu 3 Ivagnes, Anna 3 Krah, Philipp 3 Lanteri, Stéphane 3 Li, Kun 3 Li, Liang 3 Lorenzi, Stefano 3 Mohebujjaman, Muhammad 3 Nonino, Monica 3 Pain, Christopher C. 3 Pegolotti, Luca 3 Pichi, Federico 3 Rebholz, Leo G. 3 Reiss, Julius 3 San, Omer 3 Taddei, Tommaso 3 Tezzele, Marco 3 Torlo, Davide 3 Wells, David R. 3 Xie, Xuping 2 Aretaki, Aikaterini 2 Bluck, Michael J. 2 Cammi, Antonio 2 Degroote, Joris 2 Ehrlacher, Virginie 2 Fang, Fangxin 2 Farhat, Charbel H. 2 Fuhg, Jan Niklas 2 Georgaka, Sokratia 2 Gervasio, Paola 2 Giacomini, Matteo 2 Gräßle, Carmen 2 Gunzburger, Max D. 2 Huang, Cheng 2 Huerta, Antonio 2 Katsouleas, Georgios 2 Kvamsdal, Trond 2 Lee, Sanghyun 2 Liu, Honghu 2 Lombardi, Damiano 2 Mula, Olga 2 Navon, Ionel Michael 2 Nouveau, Léo 2 Novo, Julia 2 Ortali, Giulio 2 Othmer, Carsten 2 Rasheed, Adil 2 Ripamonti, Nicolò 2 Sanderse, Benjamin 2 Sevilla, Ruben 2 Tsiolakis, Vasileios 2 Wentland, Christopher R. 2 Xiao, Dunhui 2 Zappon, Elena 2 Zhang, Lei 1 Abdedou, Azzedine 1 Abisset-Chavanne, Emmanuelle 1 Adler, James H. 1 Afkham, Babak Maboudi 1 Aguado, Jose Vicente 1 Ahmed, Shady E. 1 Ali, Mazen 1 Ali, Shafqat 1 Alkadhi, Hatem 1 Alla, Alessandro 1 Allery, Cyrille 1 Alvarez-Vázquez, Lino Jose ...and 271 more Authors all top 5 Cited in 39 Serials 29 Journal of Computational Physics 26 Computer Methods in Applied Mechanics and Engineering 21 Journal of Scientific Computing 17 Computers & Mathematics with Applications 10 Computers and Fluids 10 Advances in Computational Mathematics 8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 7 International Journal for Numerical Methods in Engineering 7 SIAM Journal on Scientific Computing 6 SIAM Journal on Numerical Analysis 4 SIAM/ASA Journal on Uncertainty Quantification 3 Applied Mathematics and Computation 3 Journal of Computational and Applied Mathematics 3 International Journal of Computational Fluid Dynamics 2 Computer Physics Communications 2 Applied Numerical Mathematics 2 Journal of Numerical Mathematics 2 Communications in Computational Physics 2 Communications in Applied and Industrial Mathematics 1 International Journal of Engineering Science 1 Mathematics and Computers in Simulation 1 Physica D 1 Optimization 1 Numerical Methods for Partial Differential Equations 1 Numerical Algorithms 1 Applied Mathematical Modelling 1 Indagationes Mathematicae. New Series 1 ETNA. Electronic Transactions on Numerical Analysis 1 Archives of Computational Methods in Engineering 1 Discrete and Continuous Dynamical Systems. Series B 1 Multiscale Modeling & Simulation 1 Acta Numerica 1 GAMM-Mitteilungen 1 GEM - International Journal on Geomathematics 1 Journal of Mathematics in Industry 1 East Asian Journal on Applied Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Bollettino dell’Unione Matematica Italiana 1 Mathematics in Engineering all top 5 Cited in 21 Fields 156 Numerical analysis (65-XX) 132 Fluid mechanics (76-XX) 68 Partial differential equations (35-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 19 Biology and other natural sciences (92-XX) 15 Computer science (68-XX) 13 Mechanics of deformable solids (74-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Statistics (62-XX) 6 Optics, electromagnetic theory (78-XX) 5 Probability theory and stochastic processes (60-XX) 5 Operations research, mathematical programming (90-XX) 4 Geophysics (86-XX) 3 Approximations and expansions (41-XX) 3 Systems theory; control (93-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Mathematics education (97-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year