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- W2045296893 abstract "This article deals with $tau$-extrapolation---a modification of the multigrid method which leads to solutions with an improved convergence order. The number of numerical operations depends linearly on the problem size and is not much higher than for a multigrid method without this modification. Sections 1 and 2 contain a short description of the multigrid framework and a mathematical foundation of the $tau$-extrapolation. Section 3 deals with a careful tuning of the multigrid components necessary for a successful application of $tau$-extrapolation. Section 4 presents numerical illustrations to the theoretical investigations for one-dimensional linear and nonlinear test problems. Section 5 presents some experience with the use of $tau$-extrapolation for the Navier--Stokes equations. In all cases the $tau$-extrapolation leads to an improved convergence order." @default.
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- W2045296893 date "1997-03-01" @default.
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- W2045296893 title "$tau$-Extrapolation---Theoretical Foundation, Numerical Experiment, and Application to Navier--Stokes Equations" @default.
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- W2045296893 doi "https://doi.org/10.1137/s1064827594276266" @default.
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