Software framework ug4: Parallel multigrid on the hermit supercomputer

Ingo Heppner*, Michael Lampe, Arne Nägel, Sebastian Reiter, Martin Rupp, Andreas Vogel, Gabriel Wittum

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

13 Scopus citations

Abstract

The modeling of physical phenomena in a variety of fields of scientific interest lead to a formulation in terms of partial differential equations. Especially when complex geometries as the domain of definition are involved, a direct and exact solution is not accessible, but numerical schemes are used to compute an approximate discrete solution. In this report, we focus on elliptic and parabolic types of equations that include spatial operators of second order. When discretizing such problems using commonly known discretization schemes such as finite element methods or finite volume methods, large systems of linear equations arise naturally. Their solution takes the largest amount of the overall computing time.

Original languageEnglish (US)
Title of host publicationHigh Performance Computing in Science and Engineering '12
Subtitle of host publicationTransactions of the High Performance Computing Center, Stuttgart (HLRS) 2012
PublisherSpringer-Verlag Berlin Heidelberg
Pages435-449
Number of pages15
Volume9783642333743
ISBN (Electronic)9783642333743
ISBN (Print)3642333737, 9783642333736
DOIs
StatePublished - Dec 1 2013

ASJC Scopus subject areas

  • Computer Science(all)
  • Mathematics(all)

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