Carla E. O. de Moraes and Gladson O. Antunes and Mauro A. Rincon
Stabilization of the BernoulliEuler Plate Equation Numerical Analysis
1113 - 1117
2014
8
8
International Journal of Mathematical and Computational Sciences
https://publications.waset.org/pdf/9999079
https://publications.waset.org/vol/92
World Academy of Science, Engineering and Technology
The aim of this paper is to study the internal
stabilization of the BernoulliEuler equation numerically. For this,
we consider a square plate subjected to a feedbackdamping force
distributed only in a subdomain. An algorithm for obtaining an
approximate solution to this problem was proposed and implemented.
The numerical method used was the Finite Difference Method.
Numerical simulations were performed and showed the behavior of
the solution, confirming the theoretical results that have already been
proved in the literature. In addition, we studied the validation of the
numerical scheme proposed, followed by an analysis of the numerical
error; and we conducted a study on the decay of the energy associated.
Open Science Index 92, 2014