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Two Fast Solvers Based on the Multi-Level Splitting of Finite Element Spaces

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Multigrid Methods III

Abstract

The hierarchical basis preconditioner and the recent method of Bramble, Pasciak and Xu are described and their structure is compared. Some algorithmic aspects are discussed and a numerical example for an adaptively generated, nonuniform grid is given.

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References

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© 1991 Springer Basel AG

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Leinen, P., Yserentant, H. (1991). Two Fast Solvers Based on the Multi-Level Splitting of Finite Element Spaces. In: Hackbusch, W., Trottenberg, U. (eds) Multigrid Methods III. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, vol 98. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5712-3_5

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  • DOI: https://doi.org/10.1007/978-3-0348-5712-3_5

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-5714-7

  • Online ISBN: 978-3-0348-5712-3

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