Software Framework ug4: Parallel Multigrid on the Hermit Supercomputer

Ingo Heppner (), Michael Lampe (), Arne Nägel (), Sebastian Reiter (), Martin Rupp (), Andreas Vogel () and Gabriel Wittum ()
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Ingo Heppner: Goethe-Universität Frankfurt, G-CSC
Michael Lampe: Goethe-Universität Frankfurt, G-CSC
Arne Nägel: Goethe-Universität Frankfurt, G-CSC
Sebastian Reiter: Goethe-Universität Frankfurt, G-CSC
Martin Rupp: Goethe-Universität Frankfurt, G-CSC
Andreas Vogel: Goethe-Universität Frankfurt, G-CSC
Gabriel Wittum: Goethe-Universität Frankfurt, G-CSC

A chapter in High Performance Computing in Science and Engineering ‘12, 2013, pp 435-449 from Springer

Abstract: 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.

Keywords: Coarse Grid; Multigrid Method; Domain Decomposition Method; Grid Level; Multigrid Solver (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-33374-3_32

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DOI: 10.1007/978-3-642-33374-3_32

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