Numerical solution for the model of vibrating elastic membrane with moving boundary

DOI10.1016/j.cnsns.2005.08.008zbMath1111.35092OpenAlexW1973298878MaRDI QIDQ876095

N. E. Zubov

Publication date: 16 April 2007

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2005.08.008

zbMATH Keywords

finite element methodmoving boundaryelastic membranesKirchhoff's model

Mathematics Subject Classification ID

Related Items (5)

Numerical analysis for a nonlinear model of elastic strings with moving ends ⋮ Numerical solution of the time fractional reaction-diffusion equation with a moving boundary ⋮ High-order compact schemes for semilinear parabolic moving boundary problems ⋮ Global existence and numerical simulations for a thermoelastic diffusion problem in moving boundary ⋮ Maximum norm error estimates of the Crank-Nicolson scheme for solving a linear moving boundary problem

Cites Work

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• An example of pure stability for the wave equation with moving boundary
• Effect of moving boundaries on the vibrating elastic string.
• Asymptotic behavior for the vibrating string with a moving boundary
• On the solution of the wave equation with moving boundaries
• Error estimates of vibrations of elastic string with moving ends
• Existence and uniqueness of solutions of elastic string with moving ends
• Vibrations of elastic membranes with moving boundaries

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