Abstract cascading multigrid preconditioners in Besov spaces

Jingtang Ma*, Hermann BRUNNER

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

1 Citation (Scopus)


In this paper we describe and analyze the general framework of cascading multigrid preconditioning. In particular, we introduce two preconditioners based on the cascading multigrid approach. We then illustrate the application of the corresponding method to the heat equation with mild regularity in Besov spaces. Furthermore, we analyze a cascading multigrid preconditioner for the interior penalty discontinuous Galerkin method.

Original languageEnglish
Pages (from-to)349-365
Number of pages17
JournalCommunications on Pure and Applied Analysis
Issue number2
Publication statusPublished - Jun 2006

Scopus Subject Areas

  • Analysis
  • Applied Mathematics

User-Defined Keywords

  • Besov spaces
  • Cascading multigrid method
  • Discontinuous Galerkin method
  • Finite element method
  • Preconditioner


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