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Model case analysis of an algebraic multilevel method

✍ Scribed by Yair Shapira

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
166 KB
Volume
6
Category
Article
ISSN
1070-5325

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✦ Synopsis

A multilevel method for the solution of sparse linear systems is introduced. The method is defined in terms of the coefficient matrix alone; no underlying PDE or mesh is assumed. An upper bound for the condition number is available for a class of SPD problems. In particular, for certain discretizations of diffusion boundary value problems, this bound grows only polynomially with the number of levels used, regardless of whether or not the discontinuities in the diffusion coefficient align with the coarse grids. Numerical results in line with the analysis are presented.

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