Discontinous Galerkin Method

This is is a project I did in University.

The goals was to implement a simple Disconntious Galerkin solver in 1D for the acoustic wave equation:

$$ \begin{align} \rho \frac{\partial \boldsymbol{v}}{\partial t} + \nabla p =0 \\ \frac{1}{c^2} \frac{\nabla p}{t} + \rho \nabla \cdot \boldsymbol{v} =0 \end{align} $$

NOTE: Personally, I would never choose Matlab for any kind of project. It's a terrible language. However, it was mandatory for this university project.

Check out the final_report for a comprehensive explanation and results.