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- W4200634174 abstract "In this paper we present a Local Fourier Analysis of a space-time multigrid solver for a hyperbolic test problem. The space-time discretization is based on arbitrarily high order discontinuous Galerkin spectral element methods in time and a first order finite volume method in space. We apply a block Jacobi smoother and consider coarsening in space-time, as well as temporal coarsening only. Asymptotic convergence factors for the smoother and the two-grid method for both coarsening strategies are presented. For high CFL numbers, the convergence factors for both strategies are $0.5$ for first order, and $0.375$ for second order accurate temporal approximations. Numerical experiments in one and two spatial dimensions for space-time DG-SEM discretizations of varying order gives even better convergence rates of around $0.3$ and $0.25$ for sufficiently high CFL numbers." @default.
- W4200634174 created "2021-12-31" @default.
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- W4200634174 date "2021-12-06" @default.
- W4200634174 modified "2023-09-26" @default.
- W4200634174 title "Local Fourier Analysis of a Space-Time Multigrid Method for DG-SEM for the Linear Advection Equation" @default.
- W4200634174 doi "https://doi.org/10.48550/arxiv.2112.03115" @default.
- W4200634174 hasPublicationYear "2021" @default.
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