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1. Numerical analysis and simulation for Rayleigh beam equation with dynamical boundary controls.

Author

Bzeih, Moussa, El Arwadi, Toufic, and Hindi, Mohammad

Subjects
*NUMERICAL analysis, *COMPUTER simulation, *EQUATIONS, *DYNAMICAL systems, *RAYLEIGH model, *A priori
Abstract

In this paper, the Rayleigh beam system with two dynamical boundary controls is treated. Theoretically, the well-posedness of the weak solution is obtained. Later, we discretize the system by using the Implicit Euler scheme in time and the P 3 Hermite finite element in space. In addition, we show the decay of the discrete energy and we establish some a priori error estimates. Finally, some numerical simulations are presented. [ABSTRACT FROM AUTHOR]

Published
2021
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