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In this paper, we consider a structurally damped elastic equation underhinged boundary conditions. Fully-discrete numerical approximation schemes aregenerated for the null controllability of these parabolic-like PDEs. We mainlyuse finite element method (FEM) and finite difference method (FDM)approximations to show that the null controllers being approximated via FEM andFDM exhibit exactly the same asymptotics of the associated minimal energyfunction. For this, we appeal to the theory originally given by R. Triggiani[20] for construction of null controllers of ODE systems. These nullcontrollers are also amenable to our numerical implementation in which wediscuss the aspects of FEM and FDM numerical approximations and compare bothmethodologies. We justify our theoretical results with the numericalexperiments given for both approximation schemes.

Numerical Approximations for the Null Controllers of Structurally Damped Plate Dynamics