Tangential frequency filtering decompositions for symmetric matrices

Numerische Mathematik

Volumn 78, Issue 1, 1997, Pages 119-142

  Wagner, Christian ^a  

^a UNIVERSITY OF STUTTGART   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031313906     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002110050307     Document Type: Article

References (15)

1. Axelson, O., Eijkhout, V. (1987): Robust vectorizable preconditioners for three-dimensional elliptic difference equations with anisotropie. In: te Riele, H.J.J., Dekker, Th.J., van der Vorst, H.A. (eds.) Algorithms and applications on vector and parallel computers. North Holland
2. Axelson, O., Polman, B. (1989): A robust preconditioner based on algebraic substructuring and two-level grids. In: Hackbusch, W. (ed.) Robust multi-grid methods, NNFM Bd. 23. ViewegVerlag, Braunschweig
3. Chan, T.F., Vassilevski, P.S. (1995): A framework for block ILU factorizations using block-size reduction. Math. Comp. 64, pp. 129-156
4. Hackbusch, W., Trottenberg, U. (1982): Multigrid methods, Proceedings, Köln-Porz, 1981. Springer-Verlag, Berlin
5. Hackbusch, W. (1993): Iterative solution of large sparse systems of equations. Springer-Verlag, New York
6. Helzle, D. (1996): Tangential frequenzfilternde Zerlegungen zur Lösung partieller Differential-gleichungen in drei Raumdimensionen. Diplomarbeit Universität Stuttgart
7. Hemker, P.W. (1973): Multigrid methods for problems with a small parameter in the highest derivate. In: Griffiths, D.F. (ed.) Numerical analysis, Proceedings, Dundee 1983. Lecture Notes in Math. 1066, Springer-Verlag, Berlin
8. Eremin, A. Yu. Kolotina, L. Yu. (1987): Incomplete block factorization methods for complexstructure matrices. J. of Soviet Mathematics, 47(6). Translated from Zapinski Nauchnykh Seminarov Leningradskogo Otdeleniya Mathematicheskogo Instituta in V.A. Steklova An SSR, 159, 5-22
9. Eremin, A. Yu. Kolotina, L. Yu. (1987): Incomplete block factorization methods for complexstructure matrices. J. of Soviet Mathematics, 47(6). Translated from Zapinski Nauchnykh Seminarov Leningradskogo Otdeleniya Mathematicheskogo Instituta in V.A. Steklova An SSR, 159, 5-22
10. Kettler, R. (1982): Analysis and comparison of relaxation schemes in robust multigrid and preconditioned conjugate gradient methods. In: [4], pp. 502-534
11. Wagner, C. (1995): Frequenzfilternde Zerlegungen für unsymmetrische Matrizen und Matrizen mit stark variierenden Koeffizienten. PhD thesis Universität Stuttgart, ICA-Bericht 95/7, Stuttgart
12. Wagner, C. (1996): Tangential frequency filtering decompositions for symmetric matrices. ICA-Bericht 96/4, Stuttgart. Numer. Math. (to be published)
13. Wagner, C., Wittum, G. (1997): Adaptive filtering. ICA-Bericht 96/8, Stuttgart. Numer. Math. (to be published)
14. Wittum, G. (1992): Filternde Zerlegungen - Schnelle Löser für große Gleichungssysteme. Teubner Skripten zur Numerik Band 1, Teubner-Verlag, Stuttgart
15. Wittum, G.: Frequency filtering. (In preparation)