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The Automatic Multigrid Method

Part of the Numerical Methods and Algorithms book series (NUAL, volume 2)

In this chapter, we describe the Automatic Multigrid (AutoMUG) iterative method for the solution of linear systems that use a 5-point stencil as in (3.8) on a uniform grid as in (3.6). The special advantage of this method is that it uses inexpensive 5-point stencils also on the coarse grids, which allows the use of the red-black point-GS relaxation in the entire V-cycle. AutoMUG has good convergence rates for problems with variable and even discontinuous coefficients, even when the discontinuity lines do not align with the coarse grid.

Keywords

Coarse Grid Uniform Grid Multigrid Method Spatial Direction Discontinuity Line 
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.

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Copyright information

© Springer Science+Business Media, LLC 2008

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