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In this paper we present a geometric multigrid method with Jacobi and Vankarelaxation for hybridized and embedded discontinuous Galerkin discretizationsof the Laplacian. We present a local Fourier analysis (LFA) of the two-griderror-propagation operator and show that the multigrid method applied to anembedded discontinuous Galerkin (EDG) discretization is almost as efficient aswhen applied to a continuous Galerkin discretization. We furthermore show thatmultigrid applied to an EDG discretization outperforms multigrid applied to ahybridized discontinuous Galerkin (HDG) discretization. Numerical examplesverify our LFA predictions.

Local Fourier analysis of multigrid for hybridized and embedded discontinuous Galerkin methods