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Abstract: . We survey robust multigrid methods in the literature which have been developed in recent years for solving second order elliptic PDEs with nonsmooth coefficients. We highlight the key ideas of designing robust multigrid methods which are able to recover the usual multigrid efficiency for nonsmooth coefficient PDEs on structured or unstructured grids. In particular, we shall describe various approaches for constructing the interpolation and the smoothing operators, and the coarse grid points... (Update)
Context of citations to this paper: More
...obtaining the coarse grid operator is used. Also, a good survey of robust multigrid methods for elliptic equations can be found in [CW99]. It is expected that V cycle schemes should converge at a rate independent of the step size, mainly due to the fact that the convergence...
.... and an article on linear multigrid methods [34] A good survey of robust multigrid methods for elliptic equations can be found in [7]. Another type of multigrid scheme is algebraic multigrid, which only uses the structure of the matrix in the problem to determine the...
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BibTeX entry: (Update)
Tony Chan and Wing-Lok Wan. \Robust Multigrid Methods for Elliptic Linear Systems." CAM Report 99-30, UCLA, September 1999. http://citeseer.ist.psu.edu/chan99robust.html More
@misc{ chan99robust,
author = "T. Chan and W. Wan",
title = "Robust Multigrid Methods for Elliptic Linear Systems",
text = "Tony Chan and Wing-Lok Wan. \Robust Multigrid Methods for Elliptic Linear
Systems. CAM Report 99-30, UCLA, September 1999.",
year = "1999",
url = "citeseer.ist.psu.edu/chan99robust.html" }
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