Publications related to Reduced Models for Optimal Control, Shape Optimization and Inverse Problems in Haemodynamics

Accuracy and Stability of The Continuous-Time 3DVAR Filter for The Navier-Stokes Equation

The 3DVAR filter is prototypical of methods used to combine observed data with a dynamical system, online, in order to improve estimation of the state of the system. Such methods are used for high dimensional data assimilation problems, such as those arisi ...

2012

Mean Field for Markov Decision Processes: from Discrete to Continuous Optimization

Jean-Yves Le Boudec, Nicolas Gabriel Gast

We study the convergence of Markov decision processes, composed of a large number of objects, to optimization problems on ordinary differential equations. We show that the optimal reward of such a Markov decision process, which satisfies a Bellman equation ...

Institute of Electrical and Electronics Engineers2012

Comparison of Six Implicit Real-Time Optimization Schemes

Dominique Bonvin, Grégory François

Real-time optimization (RTO) is a class of methods that use measurements to reject the effect of uncertainty on optimal performance. This article compares six implicit RTO schemes, that is, schemes that implement optimality not through numerical optimizati ...

Lavoisier2012

Optimizing Quantize-Map-and-Forward Relaying for Gaussian Diamond Networks

Christina Fragouli, Ayan Sengupta, I-Hsiang Wang

We evaluate the information-theoretic achievable rates of Quantize-Map-and-Forward (QMF) relaying schemes over Gaussian N-relay diamond networks. Focusing on vector Gaussian quantization at the relays, our goal is to understand how close to the cutset uppe ...

Ieee2012

Optimizing Quantize-Map-and-Forward Relaying for Gaussian Diamond Networks

Christina Fragouli, Ayan Sengupta, I-Hsiang Wang

We evaluate the information-theoretic achievable rates of Quantize-Map-and-Forward (QMF) relaying schemes over Gaussian

N

-relay diamond networks. Focusing on vector Gaussian quantization at the relays, our goal is to understand how close to the cutset up ...

2012

On the approximation of stability factors for general parametrized partial differential equations with a two-level affine decomposition

Gianluigi Rozza, Andrea Manzoni, Toni Mikael Lassila

A new approach for computationally efficient estimation of stability factors for parametric partial differential equations is presented. The general parametric bilinear form of the problem is approximated by two affinely parametrized bilinear forms at diff ...

EDP Sciences2012

High performance computing for partial differential equations

Vincent Keller, Jonas Marcel Lätt, Etienne Ahusborde

When representing realistic physical phenomena by partial differential equations (PDE), it is crucial to approximate the underlying physics correctly, to get precise results, and to efficiently use the computer architecture. Incorrect results can appear in ...

2011

On the efficiency of numerical homogenization methods

Assyr Abdulle

The subject of this workshop was numerical methods that preserve geometric properties of the flow of an ordinary or partial differential equation. This was complemented by the question as to how structure preservation affects the long-time behaviour of num ...

EMS2011

Strongly feasible stochastic model predictive control

Milan Korda

In this article we develop a systematic approach to enforce strong feasibility of probabilistically constrained stochastic model predictive control problems for linear discrete-time systems under affine disturbance feedback policies. Two approaches are pre ...

2011

Reduced basis approximation and error bounds for potential flows in parametrized geometries

Gianluigi Rozza

In this paper we consider (hierarchical, Lagrange) reduced basis approximation and a posteriori error estimation for potential flows in affinely parametrized geometries. We review the essential ingredients: i) a Galerkin projection onto a low dimensional s ...

2011

Reduced Models for Optimal Control, Shape Optimization and Inverse Problems in Haemodynamics

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Accuracy and Stability of The Continuous-Time 3DVAR Filter for The Navier-Stokes Equation

Mean Field for Markov Decision Processes: from Discrete to Continuous Optimization

Comparison of Six Implicit Real-Time Optimization Schemes

Optimizing Quantize-Map-and-Forward Relaying for Gaussian Diamond Networks

Optimizing Quantize-Map-and-Forward Relaying for Gaussian Diamond Networks

On the approximation of stability factors for general parametrized partial differential equations with a two-level affine decomposition

High performance computing for partial differential equations

On the efficiency of numerical homogenization methods

Strongly feasible stochastic model predictive control

Reduced basis approximation and error bounds for potential flows in parametrized geometries

Accuracy and Stability of The Continuous-Time 3DVAR Filter for The Navier-Stokes Equation

Mean Field for Markov Decision Processes: from Discrete to Continuous Optimization

Optimizing Quantize-Map-and-Forward Relaying for Gaussian Diamond Networks

High performance computing for partial differential equations

On the efficiency of numerical homogenization methods

Reduced basis approximation and error bounds for potential flows in parametrized geometries

Comparison of Six Implicit Real-Time Optimization Schemes

Optimizing Quantize-Map-and-Forward Relaying for Gaussian Diamond Networks

On the approximation of stability factors for general parametrized partial differential equations with a two-level affine decomposition

Strongly feasible stochastic model predictive control