# Reduced order methods for parametrized non-linear and time dependent optimal flow control problems, towards applications in biomedical and environmental sciences

@inproceedings{Strazzullo2019ReducedOM, title={Reduced order methods for parametrized non-linear and time dependent optimal flow control problems, towards applications in biomedical and environmental sciences}, author={M. Strazzullo and Zakia Zainib and F. Ballarin and G. Rozza}, booktitle={ENUMATH}, year={2019} }

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 equations. Indeed, the optimal control problems require a huge computational effort in order to be solved, most of all in physical and/or geometrical parametrized settings. Reduced order methods are a reliable and suitable approach, increasingly gaining popularity, to achieve rapid and accurate optimal solutions in several… Expand

#### 7 Citations

Reduced order methods for parametric flow control problems and applications

- Physics, Mathematics
- ArXiv
- 2020

- PDF

POD–Galerkin Model Order Reduction for Parametrized Time Dependent Linear Quadratic Optimal Control Problems in Saddle Point Formulation

- Mathematics, Computer Science
- J. Sci. Comput.
- 2020

7- PDF

POD-Galerkin Model Order Reduction for Parametrized Nonlinear Time Dependent Optimal Flow Control: an Application to Shallow Water Equations

- Mathematics, Computer Science
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- 2020

4- PDF

Driving bifurcating parametrized nonlinear PDEs by optimal control strategies: application to Navier-Stokes equations with model order reduction

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- 2020

4- PDF

Reduced order methods for parametric optimal flow control in coronary bypass grafts, towards patient-specific data assimilation

- Computer Science, Medicine
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- 2020

8- PDF

A Certified Reduced Basis Method for Linear Parametrized Parabolic Optimal Control Problems in Space-Time Formulation

- Computer Science, Mathematics
- ArXiv
- 2021

- PDF

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