Publications related to Reduced basis method for parametrized optimal control problems governed by PDEs

A mathematical approach in the design of arterial bypass using unsteady Stokes equations

In this paper we present an approach for the study of aorto-coronaric bypass anastomoses configurations using unsteady Stokes equations. The theory of optimal control based on adjoint formulation is applied in order to optimize the shape of the zone of the ...

2006

Development of applications in WAMS and WACS: an international cooperation experience

Natalia Bondareva, Natalya Borodina

This paper focuses on applications in the area of WAMS (wide area measurement systems) and WACS (wide area control systems) development. A main issue is the report of an international cooperation oriented to test new algorithms and methods in this field. A ...

2006

Shape design in aorto-coronaric bypass anastomoses using perturbation theory

Alfio Quarteroni, Gianluigi Rozza

We present a new approach in the study of aorto-coronaric bypass anastomoses configurations based on small perturbation theory. The theory of optimal control based on adjoint formulation is applied in order to optimize the shape of the zone of the incoming ...

2006

On optimization, control and shape design of an arterial bypass

Gianluigi Rozza

Multi-level geometrical approaches in the study of aorto-coronaric bypass anastomoses configurations are discussed. The theory of optimal control based on adjoint formulation is applied in order to optimize the shape of the incoming branch of the bypass (t ...

2005

Shape design by optimal flow control and reduced basis techniques

Gianluigi Rozza

The purpose of this thesis is to develop numerical methods for optimization, control and shape design in computational fluid dynamics, more precisely in haemodynamics. The application studied is related with the shape optimization of an aorto-coronaric byp ...

EPFL2005

Optimal control and numerical adaptivity for advection-diffusion equations

Alfio Quarteroni, Luca Dede'

We propose a general approach for the numerical approximation of optimal control problems governed by a linear advection–diffusion equation, based on a stabilization method applied to the Lagrangian functional, rather than stabilizing the state and adjoint ...

EDP Sciences2005

Optimal control and shape optimization of aorto-coronaric bypass anastomoses

Alfio Quarteroni, Gianluigi Rozza

In this paper we present a new approach in the study of aorto-coronaric bypass anastomoses configurations. The theory of optimal control based on adjoint formulation is applied in order to optimize the shape of the zone of the incoming branch of the bypass ...

2003

Structure preservation: a challenge in computational control

Daniel Kressner, Volker Mehrmann

Current and future directions in the development of numerical methods and numerical software for control problems are discussed. Major challenges include the demand for higher accuracy, robustness of the method with respect to uncertainties in the data or ...

Elsevier2003

Upgrade of the present JET shape and vertical stability controller

Jonathan Bryan Lister

The development of linear model of the present JET (Joint European Torus) electromagnetic system has allowed the design of an optimized Plasma Shape Controller. Quite extreme plasma boundaries (elongation k = 1.9 and triangularity = 0.6) are shown ...

2003

Analysis and Control with Performance of Piecewise Affine and Hybrid Systems

Giancarlo Ferrari Trecate

In this paper we investigate some analysis and control problems with performance for discrete-time hybrid systems in the Piece-Wise Affine form. By using arguments from the dissipativity theory for nonlinear systems, we show that

H_infty

analysis and syn ...

2001

Reduced basis method for parametrized optimal control problems governed by PDEs

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A mathematical approach in the design of arterial bypass using unsteady Stokes equations

Development of applications in WAMS and WACS: an international cooperation experience

Shape design in aorto-coronaric bypass anastomoses using perturbation theory

On optimization, control and shape design of an arterial bypass

Shape design by optimal flow control and reduced basis techniques

Optimal control and numerical adaptivity for advection-diffusion equations

Optimal control and shape optimization of aorto-coronaric bypass anastomoses

Structure preservation: a challenge in computational control

Upgrade of the present JET shape and vertical stability controller

Analysis and Control with Performance of Piecewise Affine and Hybrid Systems

On optimization, control and shape design of an arterial bypass

Shape design by optimal flow control and reduced basis techniques

Development of applications in WAMS and WACS: an international cooperation experience

Analysis and Control with Performance of Piecewise Affine and Hybrid Systems

Optimal control and numerical adaptivity for advection-diffusion equations

Shape design in aorto-coronaric bypass anastomoses using perturbation theory

Structure preservation: a challenge in computational control

A mathematical approach in the design of arterial bypass using unsteady Stokes equations

Upgrade of the present JET shape and vertical stability controller

Optimal control and shape optimization of aorto-coronaric bypass anastomoses