Stabilization of the Bernoulli-Euler Plate Equation: Numerical Analysis

The aim of this paper is to study the internal
stabilization of the Bernoulli-Euler equation numerically. For this,
we consider a square plate subjected to a feedback/damping 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.

• Carla E. O. de Moraes
• Gladson O. Antunes
• Mauro A. Rincon

• Bernoulli-Euler Plate Equation
• Numerical Simulations
• Stability
• Energy Decay
• Finite Difference Method.

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