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Optimal Policies for Age and Distortion in a Discrete-Time Model

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Adaptive algorithms for two fluids flows with anisotropic finite elements and order two time discretizations

Samuel Dubuis

This thesis is devoted to the derivation of a posteriori error estimates for the numerical approximation of fluids flows separated by a free surface. Based on these estimates, error indicators are introduced and adaptive algorithms are proposed to solve th ...

EPFL2020

This report is the third intermediate report of the StimDesign project which will finish in June next year. The focus is here solely on our two dimensional numerical developments. We report advances on the different building blocks of our numerical model: ...

Swiss Federal Office of Energy SFOE Research Programme Geothermal Energy2019

We consider an optimal control problem for an elliptic partial differential equation (PDE) with random coefficients. The control function is a deterministic, distributed forcing term that minimizes an expected quadratic regularized loss functional. We cons ...

2018

A monolithic algorithm for the simulation of cardiac electromechanics in the human left ventricle

Alfio Quarteroni, Antonello Gerbi

In this paper, we propose a monolithic algorithm for the numerical solution of the electromechanics model of the left ventricle in the human heart. Our coupled model integrates the monodomain equation with the Bueno-Orovio minimal model for electrophysiolo ...

AMER INST MATHEMATICAL SCIENCES-AIMS2018

Stochastic impulse control with regime-switching dynamics

Yaroslav Melnyk

Optimal product management problems with multiple product generations in continuous time lead to the consideration of dynamic optimal control problems that feature both intervention costs and partially controlled regime shifts. We therefore investigate and ...

Elsevier Science Bv2017

Validation of a FEA model of structural response of RC-cantilever beams strengthened with a (R-) UHPFRC layer

Eugen Brühwiler, Emmanuel Denarié, Hamid Sadouki

This paper focuses on modelling of structural response of RC cantilever beams retrofitted with a thin layer of Ultra High Performance Fibre Reinforced cement-based Composite (UHPFRC). The complex cracking phenomenon of the resulting RC-UHPFRC composite sys ...

Elsevier2017

Cell seeding in a biomaterial is an important process for tissue engineering applications. It helps to modulate tissue formation or to control initial conditions for mechanobiological studies. The compression release-induced suction (CRIS) seeding techniqu ...

Mary Ann Liebert, Inc2017

Convergence rates of moment-sum-of-squares hierarchies for optimal control problems

Colin Neil Jones, Milan Korda

We study the convergence rate of the moment-sum-of-squares hierarchy of semidefinite programs for optimal control problems with polynomial data. It is known that this hierarchy generates polynomial under-approximations to the value function of the optimal ...

Elsevier Science Bv2017

Numerical study of the response of a group of energy piles under different combinations of thermo-mechanical loads

Lyesse Laloui, Alessandro Francesco Rotta Loria, Alice Di Donna

Energy piles are rapidly gaining acceptance around the world because they represent a renewable and clean source of energy that can be used for the heating and cooling of buildings, and the de-icing of infrastructures. This technology couples the structura ...

Elsevier2016

We consider a finite element method (FEM) with arbitrary polynomial degree for nonlinear monotone elliptic problems. Using a linear elliptic projection, we first give a new short proof of the optimal convergence rate of the FEM in the L2 norm. We then deri ...

Wiley-Blackwell2016