Numerical analysis for a nonlinear model of elastic strings with moving ends

DOI10.1016/j.apnum.2018.08.014zbMath1406.65089OpenAlexW2888582920MaRDI QIDQ1615850

R. Smith

Publication date: 31 October 2018

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2018.08.014

zbMATH Keywords

error estimatesNewton's methoditerative methodmoving boundarynumerical simulationNewmark's method

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Vibrations in dynamical problems in solid mechanics (74H45) 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 element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Strings (74K05) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (4)

Numerical methods for a problem of thermal diffusion in elastic body with moving boundary ⋮ Numerical analysis and simulation for a wave equation with dynamical boundary control ⋮ Global existence and numerical simulations for a thermoelastic diffusion problem in moving boundary ⋮ A finite element scheme for a 2D-wave equation with dynamical boundary control

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Numerical solution for the model of vibrating elastic membrane with moving boundary
• An example of pure stability for the wave equation with moving boundary
• On some nonlinear perturbation of Kirchhoff-Carrier operator
• 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
• An Approximate Algorithm for a Kirchhoff Wave Equation
• Non-Linear vibration of an elastic string
• Galerkin Methods for Parabolic Equations
• On the non-linear vibration problem of the elastic string

This page was built for publication: Numerical analysis for a nonlinear model of elastic strings with moving ends