A cascadic multigrid algorithm for the Stokes equations

Numerische Mathematik

Volumn 82, Issue 2, 1999, Pages 179-191

  Braess, Dietrich ^a   Dahmen, Wolfgang ^b  

^a RUHR UNIVERSITY BOCHUM   (Germany)

^b RWTH AACHEN UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033435379     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002110050416     Document Type: Article

References (13)

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2. Bornemann, F., Krause, R. (1998): Classical and Cascadic multigrid - a methodogical comparison. To appear in: Proceedings of the 9th International Conference on Domain Decomposition, Bjørstad, P., Espedal, M., Keyes, D., eds., John Wiley & Sons, New York
3. Braess, D. (1997): Finite Elemente. Springer, Berlin-Heidelberg or Finite Elements. Cambridge University Press, Cambridge
4. Braess, D., Sarazin, R. (1997): An efficient smoother for the Stokes Problem. Applied Numer. Math. 23, 3-19
5. Deuflhard, P. (1994): Cascadic conjugate gradient methods for elliptic partial differential equations. Algorithm and numerical results, Proc. 7th Intern. Conf. on Domain Decomposition Methods, Keyes, D., Xu, J., eds., pp. 29-42, AMS, Providence, RI
6. Girault, V., Raviart, R.-A. (1986): Finite Element Methods for Navier-Stokes Equations. Springer-Verlag, Berlin-Heidelberg-New York
7. Hackbusch, W. (1985): Multi-Grid Methods and Applications. Springer-Verlag, Berlin-Heidelberg-New York
8. Shaidurov, V.V. (1996): Some estimates of the rate of convergence for the cascadic conjugate gradient method. Comp. Math. Applic. 31(4/5), 161-171
9. Stevenson, R. (1998): The Cascade iteration for nonconforming discretizations. Report 9803 University of Nijmegen
10. Turek, S. (1997): On discrete projection methods for the incompressible Navier-Stokes equations: An algorithmic approach. Comput. Methods Appl. Mech. Engrg. 143, 271-288
11. Verfürth, R. (1984): A multilevel algorithm for mixed problems. SIAM J. Numer. Anal. 21, 264-271
12. Wachspress, E.L. (1966): Iterative Solution of Elliptic Systems. Prentice-Hall, Englewood Cliffs, N.J.
13. Yserentant, H. (1993): Old and new convergence proofs for multigrid methods. Acta Numerica 1993, 285-326