@Article{NMTMA-8-1,
author = {James Brannick, Xiaozhe Hu, Carmen Rodrigo and Ludmil Zikatanov},
title = {Local Fourier Analysis of Multigrid Methods with Polynomial Smoothers and Aggressive Coarsening},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2015},
volume = {8},
number = {1},
pages = {1--21},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.2015.w01si},
url = {http://global-sci.org/intro/article_detail/nmtma/12396.html}
}