作者: Roman Wienands , Cornelis W. Oosterlee
DOI: 10.1137/S106482750037367X
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摘要: In this paper, we present three-grid Fourier analysis for multigrid methods. Due to the recursive structure of a iteration, can be deduced from well-known two-grid analysis. The coarse grid correction part algorithms more accurately evaluated with We apply several scalar equations and discretizations an emphasis on problems difficulty like upwind convection diffusion equation. main focus lies possible improvements by carefully chosen Galerkin operators and/or additional acceleration restarted GMRES, GMRES($m$). Numerical test calculations validate theoretical predictions.