Advertisement

Topics on Algebraic Multigrid (AMG)

The algebraic multigrid (or AMG) concept was introduced in [BMcRr, BMcR] (see also [B86]), and gained popularity after the paper [RS87] appeared. Since then, much progress has been made and the present chapter reflects a number of major developments in this area.

There is no single AMG method. Loosely speaking, if the coarse hierarchy defined by respective interpolation matrices { Pk } is constructed by the user, the resulting MG method defines a class of AMG. AMG is typically defined as a two-level method, and the construction is used recursively, thus ending up with a multilevel AMG. That is why, for the most part of the presentation, we omit the level subscript k in the present chapter.

Keywords

Element Matrice Sparsity Pattern Principal Submatrix Coarse Space Interpolation Matrix 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media, LLC 2008

Personalised recommendations