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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… Click to show full 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.
Keywords:
dynamical boundary;
numerical analysis;
rayleigh beam;
boundary controls
Journal Title: Arabian Journal of Mathematics
Year Published: 2021
Link to full text (if available)
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Journal Title: Arabian Journal of Mathematics
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!