Numerical analysis and simulation for Rayleigh beam equation with dynamical boundary controls
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DOI: 10.1007/s40065-021-00310-8
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… read more here.
Keywords: dynamical boundary; numerical analysis; rayleigh beam; boundary controls ... See more keywords
Energy decay in Green–Naghdi thermoelasticity with diffusion and dissipative boundary controls
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DOI: 10.1080/01495739.2016.1261262
Abstract: ABSTRACT We study the asymptotic behavior of the solutions of a three-dimensional hyperbolic system arising in the Green–Naghdi models of thermoelasticity with diffusion of type-II and III, in the presence of dissipative boundary controls and… read more here.
Keywords: dissipative boundary; thermoelasticity diffusion; boundary controls; green naghdi ... See more keywords
Approximations to time-optimal boundary controls for weak generalized solutions of the wave equation
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DOI: 10.1134/s0965542517030071
Abstract: For the wave equation, time-optimal control problems with two-sided boundary controls of three basic types are considered in classes of weak generalized solutions. Stable algorithms for computing approximate optimal times and optimal boundary controls are… read more here.
Keywords: time optimal; generalized solutions; optimal boundary; boundary controls ... See more keywords