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Local Fourier Analysis of Multigrid for Hybridized and Embedded Discontinuous Galerkin Methods

Local Fourier Analysis of Multigrid for Hybridized and Embedded Discontinuous Galerkin Methods

In this paper we present a geometric multigrid method with Jacobi and Vanka relaxation for hybridized and embedded discontinuous Galerkin discretizations of the Laplacian. We present a local Fourier analysis (LFA) of the two-grid error-propagation operator and show that the multigrid method applied to an embedded discontinuous Galerkin (EDG) discretization …