89 citations · 880 across the 47 of their papers we have counts for
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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…
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 +1
In this work we focus on reduced order modelling for problems for which the resulting reduced basis spaces show a slow decay of the Kolmogorov -width, or, in practical calculati…
Reduced order methods for parametric optimal flow control in coronary bypass grafts, towards patient-specific data assimilation
Zakia Zainib, Francesco Ballarin, Stephen Fremes +3
Coronary artery bypass grafts (CABG) surgery is an invasive procedure performed to circumvent partial or complete blood flow blockage in coronary artery disease (CAD). In this work…
POD-Galerkin Model Order Reduction for Parametrized Time Dependent Linear Quadratic Optimal Control Problems in Saddle Point Formulation
Maria Strazzullo, Francesco Ballarin, Gianluigi Rozza
In this work we recast parametrized time dependent optimal control problems governed by partial differential equations in a saddle point formulation and we propose reduced order me…
Hierarchical Model Reduction Techniques for Flow Modeling in a Parametrized Setting
Matteo Zancanaro, Francesco Ballarin, Simona Perotto +1
In this work we focus on two different methods to deal with parametrized partial differential equations in an efficient and accurate way. Starting from high fidelity approximations…
Certified Reduced Basis VMS-Smagorinsky model for natural convection flow in a cavity with variable height
Francesco Ballarin, Tomás Chacón Rebollo, Enrique Delgado Ávila +2
In this work we present a Reduced Basis VMS-Smagorinsky Boussinesq model, applied to natural convection problems in a variable height cavity, in which the buoyancy forces are invol…
Projection-based reduced order models for a cut finite element method in parametrized domains
Efthymios N. Karatzas, Francesco Ballarin, Gianluigi Rozza
This work presents a reduced order modelling technique built on a high fidelity embedded mesh finite element method. Such methods, and in particular the CutFEM method, are attracti…