1,721,019 research outputs found

    Extension of the controllability concept from the finite dimension to the infinite dimension: exact, approximate, null controllability

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    Mémoire du D.E.A. Mathématiques et Applications, UFR des Sciences et des Thechniques, Université de Franche-Comté, Besançon, France

    Modélisation, contrôle, stabilité et approximation numérique des modèles thermo- et (ou) visco-élastiques

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    Thèse n. 967, UFR des Sciences et des Thechniques, Université de Franche-Comté, Besançon, Franc

    Numerical approximation of controllability of trajectories for Euler-Bernoulli thermoelastic plates

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    Euler-Bernoulli thermoelastic plate model with a control function in the thermal equation is considered. This paper is devoted to the analysis and construction of the minimization procedure related to the controllability of its trajectories by applying both penalty and duality arguments. Numerical approximation of the optimality system is carried out through the use of spectral element methods in space and nite dierence schemes in time. Numerical results obtained on several test cases are shown
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