Algebraic multilevel methods with aggregations: an overview

  • Authors:
  • Radim Blaheta

  • Affiliations:
  • Department of Applied Mathematics, Institute of Geonics AS CR, Ostrava-Poruba, Czech Republic

  • Venue:
  • LSSC'05 Proceedings of the 5th international conference on Large-Scale Scientific Computing
  • Year:
  • 2005

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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.