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Being implicit in time, the space-time discontinuous Galerkin discretization of the compressible Navier-Stokes equations requires the solution of a non-linear system of algebraic equations at each time-step. The overall performance, therefore, highly depends on the efficiency of the solver. In this article, we solve the system of algebraic equations with a h-multigrid method using explicit Runge-Kutta relaxation. Twolevel Fourier analysis of this method for the scalar advection-diffusiondoi:10.1016/j.jcp.2007.08.034 fatcat:gg6dkywyjnhijn2g5kg2os7cd4