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Filtering Algebraic Multigrid and Adaptive Strategies

Conference ·
Solving linear systems arising from systems of partial differential equations, multigrid and multilevel methods have proven optimal complexity and efficiency properties. Due to shortcomings of geometric approaches, algebraic multigrid methods have been developed. One example is the filtering algebraic multigrid method introduced by C. Wagner. This paper proposes a variant of Wagner's method with substantially improved robustness properties. The method is used in an adaptive, self-correcting framework and tested numerically.
Research Organization:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA
Sponsoring Organization:
USDOE
DOE Contract Number:
W-7405-ENG-48
OSTI ID:
893975
Report Number(s):
UCRL-PROC-218762
Country of Publication:
United States
Language:
English

References (4)

Sparse approximate inverse smoothers for geometric and algebraic multigrid journal April 2002
Adaptive Smoothed Aggregation ($\alpha$SA) journal January 2004
Adaptive Algebraic Multigrid journal January 2006
Adaptive filtering journal December 1997

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