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On multigrid methods of the two-level type

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Multigrid Methods

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 960))

Abstract

Modified proofs of spectral equivalence in connection with methods of two-level grid type are presented. The upper bounds on the condition numbers are independent on the mesh parameter and on the smoothness of the solution. Some particular two-level methods are extended by recursion to multigrid methods.

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References

  1. Axelsson, O. and Gustafsson, I., A preconditioned conjugate gradient method for finite element equations, which is stable for rounding errors, Information Processing 80, Ed. Lavington, S.H., pp. 723–728, North Holland, 1980.

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W. Hackbusch U. Trottenberg

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© 1982 Springer-Verlag

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Axelsson, O. (1982). On multigrid methods of the two-level type. In: Hackbusch, W., Trottenberg, U. (eds) Multigrid Methods. Lecture Notes in Mathematics, vol 960. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069933

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  • DOI: https://doi.org/10.1007/BFb0069933

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11955-5

  • Online ISBN: 978-3-540-39544-7

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