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We are interested in the numerical simulation of wave propagation phenomena modeled by symmetric hyperbolic Friedrichs systems such as scalar acoustics or aero-acoustics. The unbounded nature of the computational domain is treated through the retarded potential method which is coupled with an explicit in time FDTD-DG volume method. The coupling formula that allows local time stepping on the domain discretized with the DG method, ensures a positivity property that guarantees the well posedness of the discrete algorithm and energy conservation. Numerical experiments for the scalar wave equation using this general methodology will be shown. |
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