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The multi grid method and artificial viscosity

Part II: Specific Contributions

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

Keywords

  • Asymptotic Stability
  • Coarse Grid
  • Amplification Factor
  • Multigrid Method
  • Galerkin Approximation

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References

  1. BRANDT, A.; DINAR, N., Multi-grid solutions to elliptic flow problems, Report Number 79-15, July 16, ICASE (1979).

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  2. FREDERICKSON, P.O., Fast approximate inversion of large sparse linear systems, Mathematics report 7-75, Lakehead University, Ontario, Canada (1975).

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  3. HACKBUSCH, W., On the multigrid method applied to difference equations, Computing 20 (1978), 291–306.

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  4. HEMKER, P.W., Fourier Analysis of gridfunctions, prolongations and restrictions, Report NW 93/80, Mathematical Centre, Amsterdam (1980).

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  5. MOL, W.J.A., On the choice of suitable operators and parameters in multigrid methods, Report NW 107/81, Mathematical Centre, Amsterdam (1981).

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  6. WESSELING, P., Theoretical and practical aspects of a multigrid method, Report NA-37, Delft University of Technology (1980).

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  7. ZEEUW, P. de; ASSELT, E.J. van, Numerical computation of the convergence rate of the multi level algorithm applied to the convection diffusion equation. To be published as Report NW, Mathematical Centre, Amsterdam (1982).

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© 1982 Springer-Verlag

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van Asselt, E.J. (1982). The multi grid method and artificial viscosity. In: Hackbusch, W., Trottenberg, U. (eds) Multigrid Methods. Lecture Notes in Mathematics, vol 960. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069931

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  • DOI: https://doi.org/10.1007/BFb0069931

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11955-5

  • Online ISBN: 978-3-540-39544-7

  • eBook Packages: Springer Book Archive