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Parallelisierung und Vorkonditionierung des CG-Verfahrens durch Gebietszerlegung

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Numerische Algorithmen auf Transputer-Systemen

Part of the book series: Teubner Skripten zur Numerik ((TSN))

Zusammenfassung

Gebietszerlegungstechniken eröffnen eine Vielzahl von Möglichkeiten zur Entwicklung paralleler Lösungsstrategien für Finite-Elemente (F.E.) Gleichungen großer Dimension. Die auf der nichtüberlappenden Gebietszerlegung beruhende F.É. Substrukturtechnik und die damit verbundene Datenverteilung führt zu einer Parallelisierung des CG-Verfahrens, die sich besonders für Mehrprozessorrechner mit lokalem Speicher und Botschaftenaustausch über Links eignet. Für diese parallelisierte Version des CG-Verfahrens werden im vorliegenden Beitrag vier verschiedene Vorkonditionierungen vorgeschlagen, mit denen die Konvergenz des CG-Verfahrens erheblich beschleunigt werden kann, ohne daß im Vergleich zur nichtvorkonditionierten Variante zusätzliche Kommunikation entsteht. Die auf einem Transputerhypercube durchgeführten numerischen Experimente zeigen die Effektivität der vorgeschlagenen Vorkonditionierungen.

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Author information

Authors and Affiliations

  1. FB Mathematik, TU Chemnitz, Postfach 964, D-O-9010, Chemnitz, Deutschland

    Gundolf Haase & Ulrich Langer

  2. Institut für Mechanik, Postfach 408, D-O-9010, Chemnitz, Deutschland

    Arnd Meyer

Authors
  1. Gundolf Haase
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  2. Ulrich Langer
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  3. Arnd Meyer
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Editor information

Editors and Affiliations

  1. Universität Heidelberg, Heidelberg, Deutschland

    Georg Bader , Rolf Rannacher  & Gabriel Wittum ,  & 

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© 1993 B. G. Teubner Stuttgart

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Haase, G., Langer, U., Meyer, A. (1993). Parallelisierung und Vorkonditionierung des CG-Verfahrens durch Gebietszerlegung. In: Bader, G., Rannacher, R., Wittum, G. (eds) Numerische Algorithmen auf Transputer-Systemen. Teubner Skripten zur Numerik. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-322-94760-4_6

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  • DOI: https://doi.org/10.1007/978-3-322-94760-4_6

  • Publisher Name: Vieweg+Teubner Verlag, Wiesbaden

  • Print ISBN: 978-3-519-02716-4

  • Online ISBN: 978-3-322-94760-4

  • eBook Packages: Springer Book Archive

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