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Extension of the controllability concept from the finite dimension to the infinite dimension: exact, approximate, null controllability
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
Thèse n. 967, UFR des Sciences et des Thechniques, Université de Franche-Comté, Besançon, Franc
Control problems for Euler-Bernoulli thermoelastic plates without memory and thermoelastic systems with memory
Numerical approximation of controllability of trajectories for Euler-Bernoulli thermoelastic plates
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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