A horizontal method of lines scheme for the damped beam equation combines Crank-Nicolson time stepping with Hermite cubic FEM and reports O(h^4 + tau^2) accuracy on a manufactured test problem.
Thesis (UK: University of Bristol), 2000
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An Efficient Numerical Method for an Approximate Solution of the Beam Equation
A horizontal method of lines scheme for the damped beam equation combines Crank-Nicolson time stepping with Hermite cubic FEM and reports O(h^4 + tau^2) accuracy on a manufactured test problem.