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Defect corrections and multigrid iterations

Part II: Specific Contributions

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

Keywords

  • Iteration Operator
  • Contraction Rate
  • Grid Level
  • Multigrid Algorithm
  • Defect Correction

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Bibliography

  1. A. Brandt-N. Dinar: Multi-grid solutions to elliptic flow problems, ICASE Report 79-15, July 1979.

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  2. W. Auzinger-H.J. Stetter: Extrapolation beim Multigrid-Verfahren, Vortrag, GAMM-Tagung 1981, Würzburg.

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  3. W. Hackbusch: Bemerkungen zur iterierten Defektkorrektur und zu ihrer Kombination mit Mehrgitterverfahren, Report 79-13, Angew. Math. Univ. Köln, September 1979.

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  4. W. Hackbusch: Introduction to multigrid methods for the numerical solution of boundary value problems, in: Computational Methods for Turbulent, Transonic, and Viscous Flows (J.A. Essers, ed.), Hernisphere Publ. Corp., to appear in 1982.

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  5. H.J. Stetter: The defect correction principle and discretization methods, Num. Math. 29 (1978) 425–443.

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  6. H. Foerster-K. Witsch: On efficient multigrid software for elliptic problems on rectangular domains, Math. and Computers in Simulation 28 (1981), no. 3.

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© 1982 Springer-Verlag

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Auzinger, W., Stetter, H.J. (1982). Defect corrections and multigrid iterations. In: Hackbusch, W., Trottenberg, U. (eds) Multigrid Methods. Lecture Notes in Mathematics, vol 960. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069932

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  • DOI: https://doi.org/10.1007/BFb0069932

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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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