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Algebraic Multilevel Methods with Aggregations: An Overview

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Large-Scale Scientific Computing (LSSC 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3743))

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Abstract

This paper deals with the numerical solution of elliptic boundary value problems by multilevel solvers with coarse levels created by aggregation. Strictly speaking, it deals with the construction of the coarse levels by aggregation, possible improvement of the simple aggregation technique and use of aggregations in multigrid, AMLI preconditioners and two-level Schwarz methods.

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Author information

Authors and Affiliations

  1. Department of Applied Mathematics, Institute of Geonics AS CR, Studentská 1768, 70800, Ostrava-Poruba, Czech Republic

    Radim Blaheta

Authors
  1. Radim Blaheta
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Editor information

Editors and Affiliations

  1. Institute for Parallel Processing, Bulgarian Academy of Sciences, Acad. G. Bonchev, Bl. 25A, 1113, Sofia, Bulgaria

    Ivan Lirkov

  2. Institute for Parallel Processing, Bulgarian Academy of Sciences, Acad. G. Bonchev Str. Bl. 25-A, 1113, Sofia, Bulgaria

    Svetozar Margenov

  3. Informatics & Mathematical Modeling, Technical University of Denmark, DK-2800, Lyngby, Denmark

    Jerzy Waśniewski

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© 2006 Springer-Verlag Berlin Heidelberg

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Blaheta, R. (2006). Algebraic Multilevel Methods with Aggregations: An Overview. In: Lirkov, I., Margenov, S., Waśniewski, J. (eds) Large-Scale Scientific Computing. LSSC 2005. Lecture Notes in Computer Science, vol 3743. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11666806_1

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  • DOI: https://doi.org/10.1007/11666806_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-31994-8

  • Online ISBN: 978-3-540-31995-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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