We present a discontinuous Galerkin finite volume scheme for solving the 2D Maxwell equation. We apply it to an electromagnetic impulse case.

For the physical hyperbolic problems one can exhibit a fundamental function of the entropie variables and of a space-time vector. In the case of Euler equations, this function can be expressed in a simple form and splitted into a convex function and a concave one, and it is possible to find a polydimensional scheme which generalizes the Courant scheme. Then we present some mono and bidimensional numerical results.