Filtering algebraic multigrid and adaptive strategies

Computing and Visualization in Science

Volumn 11, Issue 3, 2008, Pages 159-167

  Nägel, Arne ^a   Falgout, Robert D ^b   Wittum, Gabriel ^a  

^a UNIVERSITY OF HEIDELBERG   (Germany)

^b LAWRENCE LIVERMORE NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL COMPLEXITY; LINEAR SYSTEMS; NUMERICAL METHODS; PARTIAL DIFFERENTIAL EQUATIONS; ROBUSTNESS (CONTROL SYSTEMS);

OPTIMAL COMPLEXITY; SELF-CORRECTING FRAMEWORK; WAGNER'S METHOD;

ADAPTIVE SYSTEMS;

EID: 42449159798     PISSN: 14329360     EISSN: 14330369     Source Type: Journal    
DOI: 10.1007/s00791-007-0066-9     Document Type: Article

References (8)

1. Brezina M., Falgout R.D., MacLachlan S., Manteuffel T., McCormick S.F., Ruge J.W. (2004). Adaptive smoothed aggregation (αSA). SIAM J. Sci. Comp. 25(6): 1896-1920
2. Brezina M., Falgout R.D., MacLachlan S., McCormick S.F., Ruge J.W. (2005). Adaptive algebraic multigrid. SIAM J. Sci. Comp. 27: 1261-1286
3. Bröker O., Grote M.J. (2002). Sparse approximate inverse smoothers for geometric and algebraic multigrid. Appl. Numer. Math. Trans. IMACS 41(1): 61-80
4. Hackbusch W. (1985). Multi-Grid Methods and Applications. Springer, Berlin
5. Ruge J.W., Stüben K. (1987). Algebraic multigrid (AMG). In: McCormick, S.F. (eds) Multigrid Methods, volume 3 of Frontiers in Applied Mathematics, pp 73-130. SIAM, Philadelphia
6. Wagner C. (2000). Ein algebraisches Mehrgitterverfahren-Entwicklung und Anwendung auf einen Sanierungsfall. Habilitationsschrift, Universität Heidelberg (in German)
7. Wagner C. (2000). On the algebraic construction of multilevel transfer operators. Computing 65: 73-95
8. Wagner C., Wittum G. (1997). Adaptive filtering. Numer. Math. 78(2): 305-328