Shape Optimization by Free-Form Deformation: Existence Results and Numerical Solution for Stokes Flows. - Francesco Ballarin; Andrea Manzoni; Gianluigi Rozza; Sandro Salsa (J. Sci. Comput., 2014)

Isogeometric analysis-based reduced order modelling for incompressible linear viscous flows in parametrized shapes. - Filippo Salmoiraghi; Francesco Ballarin; Luca Heltai; Gianluigi Rozza (Adv. Model. Simul. Eng. Sci., 2016)

Fast simulations of patient-specific haemodynamics of coronary artery bypass grafts based on a POD-Galerkin method and a vascular shape parametrization. - Francesco Ballarin; Elena Faggiano; Sonia Ippolito; Andrea Manzoni; Alfio Quarteroni; Gianluigi Rozza; Roberto Scrofani (J. Comput. Phys., 2016)

On a Certified Smagorinsky Reduced Basis Turbulence Model. - Tomás Chacón Rebollo; Enrique Delgado Ávila; Macarena Gómez Mármol; Francesco Ballarin; Gianluigi Rozza (SIAM J. Numer. Anal., 2017)

Stabilized Weighted Reduced Basis Methods for Parametrized Advection Dominated Problems with Random Inputs. - Davide Torlo; Francesco Ballarin; Gianluigi Rozza (SIAM/ASA J. Uncertain. Quantification, 2018)

Model Reduction for Parametrized Optimal Control Problems in Environmental Marine Sciences and Engineering. - Maria Strazzullo; Francesco Ballarin; Renzo Mosetti; Gianluigi Rozza (SIAM J. Sci. Comput., 2018)

Reduced Order Methods for Parametrized Non-linear and Time Dependent Optimal Flow Control Problems, Towards Applications in Biomedical and Environmental Sciences. - Maria Strazzullo; Zakia Zainib; Francesco Ballarin; Gianluigi Rozza (ENUMATH, 2019)

A reduced order variational multiscale approach for turbulent flows. - Giovanni Stabile; Francesco Ballarin; Giacomo Zuccarino; Gianluigi Rozza (Adv. Comput. Math., 2019)

Reduced order methods for parametric optimal flow control in coronary bypass grafts, towards patient-specific data assimilation. - Zakia Zainib; Francesco Ballarin; Stephen Fremes; Piero Triverio; Laura Jiménez-Juan; Gianluigi Rozza (CoRR, 2019)

Overcoming slowly decaying Kolmogorov n-width by transport maps: application to model order reduction of fluid dynamics and fluid-structure interaction problems. - Monica Nonino; Francesco Ballarin; Gianluigi Rozza; Yvon Maday (CoRR, 2019)

Basic Ideas and Tools for Projection-Based Model Reduction of Parametric Partial Differential Equations. - Gianluigi Rozza; Martin W. Hess; Giovanni Stabile; Marco Tezzele; Francesco Ballarin (CoRR, 2019)

A Weighted POD Method for Elliptic PDEs with Random Inputs. - Luca Venturi; Francesco Ballarin; Gianluigi Rozza (J. Sci. Comput., 2019)

Stabilized reduced basis methods for parametrized steady Stokes and Navier-Stokes equations. - Shafqat Ali; Francesco Ballarin; Gianluigi Rozza (Comput. Math. Appl., 2020)

Certified Reduced Basis VMS-Smagorinsky model for natural convection flow in a cavity with variable height. - Francesco Ballarin; Tomás Chacón Rebollo; Enrique Delgado Ávila; Macarena Gómez Mármol; Gianluigi Rozza (Comput. Math. Appl., 2020)

Projection-based reduced order models for a cut finite element method in parametrized domains. - Efthymios N. Karatzas; Francesco Ballarin; Gianluigi Rozza (Comput. Math. Appl., 2020)

Non-intrusive PODI-ROM for patient-specific aortic blood flow in presence of a LVAD device. - Michele Girfoglio; Francesco Ballarin; Giuseppe Infantino; Francesca Nicolò; Andrea Montalto; Gianluigi Rozza; Roberto Scrofani; Marina Comisso; Francesco Musumeci 003 (CoRR, 2020)

A Reduced Order Cut Finite Element method for geometrically parameterized steady and unsteady Navier-Stokes problems. - Efthymios N. Karatzas; Monica Nonino; Francesco Ballarin; Gianluigi Rozza (CoRR, 2020)

A non-intrusive data-driven ROM framework for hemodynamics problems. - Michele Girfoglio; L. Scandurra; Francesco Ballarin; Giuseppe Infantino; Francesca Nicolò; Andrea Montalto; Gianluigi Rozza; Roberto Scrofani; Marina Comisso; Francesco Musumeci 003 (CoRR, 2020)

Driving bifurcating parametrized nonlinear PDEs by optimal control strategies: application to Navier-Stokes equations with model order reduction. - Federico Pichi; Maria Strazzullo; Francesco Ballarin; Gianluigi Rozza (CoRR, 2020)

Reduced order methods for parametric flow control problems and applications. - Francesco Ballarin; Gianluigi Rozza; Maria Strazzullo (CoRR, 2020)

POD-Galerkin Model Order Reduction for Parametrized Time Dependent Linear Quadratic Optimal Control Problems in Saddle Point Formulation. - Maria Strazzullo; Francesco Ballarin; Gianluigi Rozza (J. Sci. Comput., 2020)

A weighted POD-reduction approach for parametrized PDE-constrained optimal control problems with random inputs and applications to environmental sciences. - Giuseppe Carere; Maria Strazzullo; Francesco Ballarin; Gianluigi Rozza; Rob Stevenson 001 (Comput. Math. Appl., 2021)

Non-intrusive reduced order modeling of poroelasticity of heterogeneous media based on a discontinuous Galerkin approximation. - Teeratorn Kadeethum; Francesco Ballarin; Nikolaos Bouklas (CoRR, 2021)

A Certified Reduced Basis Method for Linear Parametrized Parabolic Optimal Control Problems in Space-Time Formulation. - Maria Strazzullo; Francesco Ballarin; Gianluigi Rozza (CoRR, 2021)

A Reduced basis stabilization for the unsteady Stokes and Navier-Stokes equations. - Shafqat Ali; Francesco Ballarin; Gianluigi Rozza (CoRR, 2021)

A monolithic and a partitioned Reduced Basis Method for Fluid-Structure Interaction problems. - Monica Nonino; Francesco Ballarin; Gianluigi Rozza (CoRR, 2021)

An optimal control approach to determine resistance-type boundary conditions from in-vivo data for cardiovascular simulations. - Elisa Fevola; Francesco Ballarin; Laura Jiménez-Juan; Stephen Fremes; Stefano Grivet-Talocia; Gianluigi Rozza; Piero Triverio (CoRR, 2021)

Non-intrusive reduced order modeling of natural convection in porous media using convolutional autoencoders: comparison with linear subspace techniques. - Teeratorn Kadeethum; Francesco Ballarin; Youngsoo Choi; Daniel O'Malley; Hongkyu Yoon; Nikolaos Bouklas (CoRR, 2021)

An artificial neural network approach to bifurcating phenomena in computational fluid dynamics. - Federico Pichi; Francesco Ballarin; Gianluigi Rozza; Jan S. Hesthaven (CoRR, 2021)

Consistency of the Full and Reduced Order Models for Evolve-Filter-Relax Regularization of Convection-Dominated, Marginally-Resolved Flows. - Maria Strazzullo; Michele Girfoglio; Francesco Ballarin; Traian Iliescu; Gianluigi Rozza (CoRR, 2021)

Finite element based model order reduction for parametrized one-way coupled steady state linear thermomechanical problems. - Nirav Vasant Shah; Michele Girfoglio; Peregrina Quintela; Gianluigi Rozza; Alejandro Lengomin; Francesco Ballarin; Patricia Barral (CoRR, 2021)

A locally conservative mixed finite element framework for coupled hydro-mechanical-chemical processes in heterogeneous porous media. - Teeratorn Kadeethum; Sanghyun Lee; Francesco Ballarin; Jinhyun Choo; Hamidreza M. Nick (Comput. Geosci., 2021)

Enriched Galerkin discretization for modeling poroelasticity and permeability alteration in heterogeneous porous media. - Teeratorn Kadeethum; Hamidreza M. Nick; Sanghyun Lee; Francesco Ballarin (J. Comput. Phys., 2021)

Hierarchical Model Reduction Techniques for Flow Modeling in a Parametrized Setting. - Matteo Zancanaro; Francesco Ballarin; Simona Perotto; Gianluigi Rozza (Multiscale Model. Simul., 2021)

A Reduced Order Cut Finite Element method for geometrically parametrized steady and unsteady Navier-Stokes problems. - Efthymios N. Karatzas; Monica Nonino; Francesco Ballarin; Gianluigi Rozza (Comput. Math. Appl., 2022)

Projection based semi-implicit partitioned Reduced Basis Method for non parametrized and parametrized Fluid-Structure Interaction problems. - Monica Nonino; Francesco Ballarin; Gianluigi Rozza; Yvon Maday (CoRR, 2022)

Reduced order modeling with Barlow Twins self-supervised learning: Navigating the space between linear and nonlinear solution manifolds. - Teeratorn Kadeethum; Francesco Ballarin; Daniel O'Malley; Youngsoo Choi; Nikolaos Bouklas; Hongkyu Yoon (CoRR, 2022)

Isogeometric Hierarchical Model Reduction for advection-diffusion process simulation in microchannels. - Simona Perotto; Gloria Bellini; Francesco Ballarin; Karol Calò; Valentina Mazzi; Umberto Morbiducci (CoRR, 2022)

POD-Galerkin model order reduction for parametrized nonlinear time-dependent optimal flow control: an application to shallow water equations. - Maria Strazzullo; Francesco Ballarin; Gianluigi Rozza (J. Num. Math., 2022)

Reduced Basis, Embedded Methods and Parametrized Levelset Geometry. - Efthymios N. Karatzas; Giovanni Stabile; Francesco Ballarin; Gianluigi Rozza (CoRR, 2023)

Weighted reduced order methods for uncertainty quantification in computational fluid dynamics. - Julien Genovese; Francesco Ballarin; Gianluigi Rozza; Claudio Canuto (CoRR, 2023)

Model Order Reduction for Deforming Domain Problems in a Time-Continuous Space-Time Setting. - Fabian Key; Max von Danwitz; Francesco Ballarin; Gianluigi Rozza (CoRR, 2023)

New Feedback Control and Adaptive Evolve-Filter-Relax Regularization for the Navier-Stokes Equations in the Convection-Dominated Regime. - Maria Strazzullo; Francesco Ballarin; Traian Iliescu; Claudio Canuto (CoRR, 2023)

Approximate Deconvolution Leray Reduced Order Model for Convection-Dominated Flows. - Anna Sanfilippo; Ian Moore; Francesco Ballarin; Traian Iliescu (CoRR, 2023)

Projection-based reduced order modeling of an iterative coupling scheme for thermo-poroelasticity. - Francesco Ballarin; Sanghyun Lee; Son-Young Yi (CoRR, 2023)

Projection Based Semi-Implicit Partitioned Reduced Basis Method for Fluid-Structure Interaction Problems. - Monica Nonino; Francesco Ballarin; Gianluigi Rozza; Yvon Maday (J. Sci. Comput., 2023)

Data-Driven Reduced Order Modelling for Patient-Specific Hemodynamics of Coronary Artery Bypass Grafts with Physical and Geometrical Parameters. - Pierfrancesco Siena; Michele Girfoglio; Francesco Ballarin; Gianluigi Rozza (J. Sci. Comput., 2023)

An optimisation-based domain-decomposition reduced order model for the incompressible Navier-Stokes equations. - Ivan Prusak; Monica Nonino; Davide Torlo; Francesco Ballarin; Gianluigi Rozza (Comput. Math. Appl., 2023)

A Priori Error Bounds for POD-ROMs for Fluids: A Brief Survey. - Francesco Ballarin; Traian Iliescu (CoRR, 2024)

A Priori Error Bounds for the Approximate Deconvolution Leray Reduced Order Model. - Ian Moore; Anna Sanfilippo; Francesco Ballarin; Traian Iliescu (CoRR, 2024)

Variational Multiscale Evolve and Filter Strategies for Convection-Dominated Flows. - Maria Strazzullo; Francesco Ballarin; Traian Iliescu; Tomás Chacón Rebollo (CoRR, 2024)

Mathematical modelling and computational reduction of molten glass fluid flow in a furnace melting basin. - Francesco Ballarin; Enrique Delgado Ávila; Andrea Mola; Gianluigi Rozza (Comput. Appl. Math., 2024)

Projection-based reduced order modelling for unsteady parametrized optimal control problems in 3D cardiovascular flows. - Surabhi Rathore; Pasquale Claudio Africa; Francesco Ballarin; Federico Pichi; Michele Girfoglio; Gianluigi Rozza (Comput. Methods Programs Biomed., 2025)

POD-based reduced order modeling of global-in-time iterative decoupled algorithms for Biot's consolidation model. - Huipeng Gu; Francesco Ballarin; Mingchao Cai; Jingzhi Li 001 (CoRR, 2025)