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Fourier two‐level analysis for discontinuous Galerkin discretization with linear elements

Fourier two‐level analysis for discontinuous Galerkin discretization with linear elements

Abstract In this paper we study the convergence of a multigrid method for the solution of a linear second‐order elliptic equation, discretized by discontinuous Galerkin (DG) methods, and we give a detailed analysis of the convergence for different block‐relaxation strategies. To complement an earlier paper where higher‐order methods were studied, …