A finite difference scheme for solving the Timoshenko beam equations with boundary feedback

DOI10.1016/j.cam.2006.01.018zbMath1107.74049OpenAlexW2067608270MaRDI QIDQ869501

Fu-Le Li, Zhi-zhong Sun

Publication date: 8 March 2007

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2006.01.018

zbMATH Keywords

stabilityconvergencediscrete energy method

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite difference methods applied to problems in solid mechanics (74S20)

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Cites Work

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• Asymptotic behavior of Timoshenko beam with dissipative boundary feedback
• Discretization of the Timoshenko beam problem by the p and the h-p versions of the finite element method
• A second order accurate difference scheme for the heat equation with concentrated capacity
• Semi-discrete and fully discrete Galerkin methods for the vibrating Timoshenko beam
• Boundary Control of the Timoshenko Beam
• A new mixed finite element method for the Timoshenko beam problem
• The Riesz basis property of a Timoshenko beam with boundary feedback and application
• Boundary feedback exponential stabilization of a Timoshenko beam with both ends free
• A NOTE ON UNIFORM SUPERCONVERGENCE FOR THE TIMOSHENKO BEAM USING MIXED FINITE ELEMENTS
• Least-squares finite element approximations to the Timoshenko beam problem.
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