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Local Fourier Analysis of Multigrid Methods with Polynomial Smoothers and Aggressive Coarsening

Local Fourier Analysis of Multigrid Methods with Polynomial Smoothers and Aggressive Coarsening
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Year:    2015

Numerical Mathematics: Theory, Methods and Applications, Vol. 8 (2015), Iss. 1 : pp. 1–21

Abstract

We focus on the study of multigrid methods with aggressive coarsening and polynomial smoothers for the solution of the linear systems corresponding to finite difference/element discretizations of the Laplace equation. Using local Fourier analysis we determine automatically the optimal values for the parameters involved in defining the polynomial smoothers and achieve fast convergence of cycles with aggressive coarsening. We also present numerical tests supporting the theoretical results and the heuristic ideas. The methods we introduce are highly parallelizable and efficient multigrid algorithms on structured and semi-structured grids in two and three spatial dimensions.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/nmtma.2015.w01si

Numerical Mathematics: Theory, Methods and Applications, Vol. 8 (2015), Iss. 1 : pp. 1–21

Published online:    2015-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    21

Keywords:   

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