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- W2952206045 abstract "In this paper, we propose a novel nonstandard local Fourier analysis (LFA) variant for accurately predicting the multigrid convergence of problems with random and jumping coefficients. This LFA method is based on a specific basis of the Fourier space rather than the commonly used Fourier modes. To show the utility of this analysis, we consider, as an example, a simple cell-centered multigrid method for solving a steady-state single phase flow problem in a random porous medium. We successfully demonstrate the predictive capability of the proposed LFA using a number of challenging benchmark problems. The information provided by this analysis could be used to estimate a priori the time needed for solving certain uncertainty quantification problems by means of a multigrid multilevel Monte Carlo method." @default.
- W2952206045 created "2019-06-27" @default.
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- W2952206045 date "2019-01-01" @default.
- W2952206045 modified "2023-10-05" @default.
- W2952206045 title "On Local Fourier Analysis of Multigrid Methods for PDEs with Jumping and Random Coefficients" @default.
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- W2952206045 doi "https://doi.org/10.1137/18m1173769" @default.
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