Abstract
AbstractOur aim is to construct efficient preconditioners for high order discontinuous Galerkin (DG) methods. We consider the DG spectral element method with Gauss‐Lobatto‐Legendre nodes (DGSEM‐GL) for the 1D linear advection equation. It has been shown in [4] that DGSEM‐GL has the summation‐by‐parts (SBP) property and an equivalent finite volume (FV) discretization is presented in [3]. Thus we present a multigrid (MG) preconditioner based on a simplified FV discretization.
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