# Numerical solution of the wave propagation problem in a plate

```@article{Rodrguez2021NumericalSO,
title={Numerical solution of the wave propagation problem in a plate},
author={Manuel Rodr{\'i}guez and Victoria Hern{\'a}ndez-Mederos and Jorge Estrada-Sarlabous and Eduardo Moreno Hern{\'a}ndez and Ahmed Mansur Graver{\'a}n},
journal={ArXiv},
year={2021},
volume={abs/2011.00141}
}```
In this work, we use the phase velocity method in combination with finite element method to compute the dispersion curve for phase velocity of an ultrasonic pulse traveling in a thin isotropic plate. This method is based on the numerical solution of the wave propagation equations for several selected frequencies. To solve these equations, a second order difference scheme is used to discretize the temporal variable, while spatial variables are discretized using the finite element method. The…

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