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

DOI10.1007/s40065-021-00310-8zbMath1496.65158OpenAlexW3133376557MaRDI QIDQ2048933

Moussa Bzeih, Toufic El Arwadi, Mohammad Hindi

Publication date: 24 August 2021

Published in: Arabian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40065-021-00310-8

zbMATH Keywords

implicit Euler schemeRayleigh beam equationHermite finite elementdynamical boundary controls

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Feedback control (93B52) Smoothness and regularity of solutions to PDEs (35B65) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Second-order parabolic equations (35K10) PDEs in connection with mechanics of deformable solids (35Q74) Moving boundary problems for PDEs (35R37) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (4)

Bresse-Timoshenko type systems with thermodiffusion effects: well-possedness, stability and numerical results ⋮ Energy decay analysis for porous elastic system with thermoelasticity of type III: a second spectrum approach ⋮ A homotopy analysis solution to large deformation of a nanowire based on nonlocal elasticity theory ⋮ A finite element scheme for a 2D-wave equation with dynamical boundary control

Cites Work

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• A dynamic contact problem involving a Timoshenko beam model
• A general framework for the study of indirect damping mechanisms in elastic systems
• Polynomial energy decay rate and strong stability of Kirchhoff plates with non-compact resolvent
• Exact Boundary Controllability of a Hybrid System of elasticity by the HUM Method

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