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

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 2012 - Transactions of the High Performance Computing Center, Stuttgart, HLRS 2012
Pages435-449
Number of pages15
DOIs
StatePublished - Sep 2 2013
Event15th Results and Review Workshop on High Performance Computing in Science and Engineering, HLRS 2012 - Stuttgart, Germany
Duration: Oct 10 2012Oct 11 2012

Publication series

NameHigh Performance Computing in Science and Engineering 2012 - Transactions of the High Performance Computing Center, Stuttgart, HLRS 2012

Other

Other15th Results and Review Workshop on High Performance Computing in Science and Engineering, HLRS 2012
CountryGermany
CityStuttgart
Period10/10/1210/11/12

ASJC Scopus subject areas

  • Software

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