89 citations · 880 across the 47 of their papers we have counts for
39 papers · 1 filter
Projection-based Reduced Order Modelling for Unsteady Parametrized Optimal Control Problems in 3D Cardiovascular Flows
Surabhi Rathore, Pasquale Claudio Africa, Francesco Ballarin +3
This paper presents a projection-based reduced order modelling (ROM) framework for unsteady parametrized optimal control problems (OCPs) arising from cardiovascular (CV) ap…
Approximate Deconvolution Leray Reduced Order Model for Convection-Dominated Flows
Anna Sanfilippo, Ian Moore, Francesco Ballarin +1
In this paper, we propose a novel ROM stabilization strategy for under-resolved convection-dominated flows, the approximate deconvolution Leray ROM (ADL-ROM). The new ADL-ROM intro…
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 +1
We propose, analyze, and investigate numerically a novel feedback control strategy for high Reynolds number flows. For both the continuous and the discrete (finite element) setting…
Model Order Reduction for Deforming Domain Problems in a Time-Continuous Space-Time Setting
Fabian Key, Max von Danwitz, Francesco Ballarin +1
In the context of simulation-based methods, multiple challenges arise, two of which are considered in this work. As a first challenge, problems including time-dependent phenomena w…
Weighted reduced order methods for uncertainty quantification in computational fluid dynamics
Julien Genovese, Francesco Ballarin, Gianluigi Rozza +1
In this manuscript we propose and analyze weighted reduced order methods for stochastic Stokes and Navier-Stokes problems depending on random input data (such as forcing terms, phy…
Reduced Basis, Embedded Methods and Parametrized Levelset Geometry
Efthymios N. Karatzas, Giovanni Stabile, Francesco Ballarin +1
In this chapter we examine reduced order techniques for geometrical parametrized heat exchange systems, Poisson, and flows based on Stokes, steady and unsteady incompressible Navie…
An optimisation-based domain-decomposition reduced order model for the incompressible Navier-Stokes equations
Ivan Prusak, Monica Nonino, Davide Torlo +2
The aim of this work is to present a model reduction technique in the framework of optimal control problems for partial differential equations. We combine two approaches used for r…
Projection based semi--implicit partitioned Reduced Basis Method for non parametrized and parametrized Fluid--Structure Interaction problems
Monica Nonino, Francesco Ballarin, Gianluigi Rozza +1
We present a partitioned Model Order Reduction method for multiphysics problems, that is based on a semi-implicit treatment of the coupling conditions, and on a projection scheme.…
Finite element based model order reduction for parametrized one-way coupled steady state linear thermomechanical problems
Nirav Vasant Shah, Michele Girfoglio, Peregrina Quintela +4
This contribution focuses on the development of Model Order Reduction (MOR) for one-way coupled steady state linear thermomechanical problems in a finite element setting. We apply…
An optimal control approach to determine resistance-type boundary conditions from in-vivo data for cardiovascular simulations
Elisa Fevola, Francesco Ballarin, Laura Jiménez-Juan +4
The choice of appropriate boundary conditions is a fundamental step in computational fluid dynamics (CFD) simulations of the cardiovascular system. Boundary conditions, in fact, hi…
A monolithic and a partitioned Reduced Basis Method for Fluid-Structure Interaction problems
Monica Nonino, Francesco Ballarin, Gianluigi Rozza
The aim of this work is to present an overview about the combination of the Reduced Basis Method (RBM) with two different approaches for Fluid-Structure Interaction (FSI) problems,…
A Certified Reduced Basis Method for Linear Parametrized Parabolic Optimal Control Problems in Space-Time Formulation
Maria Strazzullo, Francesco Ballarin, Gianluigi Rozza
In this work, we propose to efficiently solve time dependent parametrized optimal control problems governed by parabolic partial differential equations through the certified reduce…
A Reduced basis stabilization for the unsteady Stokes and Navier-Stokes equations
Shafqat Ali, Francesco Ballarin, Gianluigi Rozza
In the Reduced Basis approximation of Stokes and Navier-Stokes problems, the Galerkin projection on the reduced spaces does not necessarily preserved the inf-sup stability even if…
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 +2
Reduced basis approximations of Optimal Control Problems (OCPs) governed by steady partial differential equations (PDEs) with random parametric inputs are analyzed and constructed.…
Non-intrusive reduced order modeling of poroelasticity of heterogeneous media based on a discontinuous Galerkin approximation
T. Kadeethum, F. Ballarin, N. Bouklas
We present a non-intrusive model reduction framework for linear poroelasticity problems in heterogeneous porous media using proper orthogonal decomposition (POD) and neural network…
Space-time POD-Galerkin approach for parametric flow control
Francesco Ballarin, Gianluigi Rozza, Maria Strazzullo
In this contribution we propose reduced order methods to fast and reliably solve parametrized optimal control problems governed by time dependent nonlinear partial differential equ…
Driving bifurcating parametrized nonlinear PDEs by optimal control strategies: application to Navier-Stokes equations with model order reduction
Federico Pichi, Maria Strazzullo, Francesco Ballarin +1
This work deals with optimal control problems as a strategy to drive bifurcating solution of nonlinear parametrized partial differential equations towards a desired branch. Indeed,…
A non-intrusive data-driven ROM framework for hemodynamics problems
M. Girfoglio, L. Scandurra, F. Ballarin +7
Reduced order modeling (ROM) techniques are numerical methods that approximate the solution of parametric partial differential equation (PDE) by properly combining the high-fidelit…
A Reduced Order Cut Finite Element method for geometrically parameterized steady and unsteady Navier-Stokes problems
Efthymios N. Karatzas, Monica Nonino, Francesco Ballarin +1
This work focuses on steady and unsteady Navier-Stokes equations in a reduced order modeling framework. The methodology proposed is based on a Proper Orthogonal Decomposition withi…
Non-intrusive PODI-ROM for patient-specific aortic blood flow in presence of a LVAD device
Michele Girfoglio, Francesco Ballarin, Giuseppe Infantino +6
Left ventricular assist devices (LVADs) are used to provide haemodynamic support to patients with critical cardiac failure. Severe complications can occur because of the modificati…
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
In this work we propose reduced order methods as a reliable strategy to efficiently solve parametrized optimal control problems governed by shallow waters equations in a solution t…
Stabilized reduced basis methods for parametrized steady Stokes and Navier-Stokes equations
Shafqat Ali, Francesco Ballarin, Gianluigi Rozza
It is well known in the Reduced Basis approximation of saddle point problems that the Galerkin projection on the reduced space does not guarantee the inf-sup approximation stabilit…
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 +1
We introduce reduced order methods as an efficient strategy to solve parametrized non-linear and time dependent optimal flow control problems governed by partial differential equat…
Basic Ideas and Tools for Projection-Based Model Reduction of Parametric Partial Differential Equations
Gianluigi Rozza, Martin Hess, Giovanni Stabile +2
We provide first the functional analysis background required for reduced order modeling and present the underlying concepts of reduced basis model reduction. The projection-based m…