|Title:|| ANALYSIS OF RED-BLACK RELAXATION IN
AUTOMATIC MULTIGRID SOLUTION OF NONSYMMETRIC AND INDEFINITE PROBLEMS.
|Authors:|| Y. Shapira
|Abstract:||A method for computing the spectrum of the iteration matrices of the Black-Box Multigrid and the Automatic Multigrid (AutoMUG) methods (implemented with two levels and the red-black Successive Over Relaxation smoothing procedure) is presented. It is based on the construction of small invariant subspaces of the iteration matrices. For indefinite Helmholtz equations it provides a prediction of the optimal mesh size for the coarsest grid used. Numerical experiments applying the Automatic Multigrid (AutoMUG) method accelerated by a Lanczos-type method to the solution of nearly singular highly indefinite Helmholtz equations show the validity of this prediction.|
|Copyright||The above paper is copyright by the Technion, Author(s), or others. Please contact the author(s) for more information|
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