Semi-coarsening in space and time for the hierarchical transformation multigrid method

Benjamin Peherstorfer, Hans Joachim Bungartz

Research output: Contribution to journalConference articlepeer-review


We extend the hierarchical transformation multigrid (HT-MG) method with semi-coarsening in space and time in order to tackle anisotropic problems. Semi-coarsening allows us to smooth on anisotropic grids and, thus to employ more advanced multigrid cycles, e.g. the so-called Q-cycle. Our numerical examples show that we can tackle anisotropic problems with the HT-MG method and the Q-cycle. We do not only apply the multigrid method in space directions but also in time directions where the Q-cycle is beneficial again.

Original languageEnglish (US)
Pages (from-to)2000-2003
Number of pages4
JournalProcedia Computer Science
StatePublished - 2012
Event12th Annual International Conference on Computational Science, ICCS 2012 - Omaha, NB, United States
Duration: Jun 4 2012Jun 6 2012


  • Anisotropic problems
  • Multigrid
  • Semi-coarsening
  • Time-space discretization

ASJC Scopus subject areas

  • General Computer Science


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