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Mesh Independent Convergence Rates Via Differential Operator Pairs

  • Owe Axelsson
  • János Karátson
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4818)

Abstract

In solving large linear systems arising from the discretization of elliptic problems by iteration, it is essential to use efficient preconditioners. The preconditioners should result in a mesh independent linear or, possibly even superlinear, convergence rate. It is shown that a general way to construct such preconditioners is via equivalent pairs or compactequivalent pairs of elliptic operators.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Owe Axelsson
    • 1
    • 2
  • János Karátson
    • 3
  1. 1.Department of Information TechnologyUppsala UniversitySweden
  2. 2.Institute of Geonics AS CROstravaCzech Republic
  3. 3.Department of Applied AnalysisELTE UniversityBudapestHungary

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