A finite-element method with Hermite basis functions and Newmark time stepping is analyzed for stability and shown to achieve quadratic convergence for the beam equation on a moving domain.
Nonlinear quasi-static finite element formulations for vis- coelastic Euler-Bernoulli and Timoshenko beams
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Analysis and numerical simulation of the nonlinear beam equation with moving ends
A finite-element method with Hermite basis functions and Newmark time stepping is analyzed for stability and shown to achieve quadratic convergence for the beam equation on a moving domain.