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.