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Software Framework ug4: Parallel Multigrid on the Hermit Supercomputer

In: High Performance Computing in Science and Engineering ‘12

Author

Listed:
  • 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)

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.

Suggested Citation

  • Ingo Heppner & Michael Lampe & Arne Nägel & Sebastian Reiter & Martin Rupp & Andreas Vogel & Gabriel Wittum, 2013. "Software Framework ug4: Parallel Multigrid on the Hermit Supercomputer," Springer Books, in: Wolfgang E. Nagel & Dietmar H. Kröner & Michael M. Resch (ed.), High Performance Computing in Science and Engineering ‘12, edition 127, pages 435-449, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-33374-3_32
    DOI: 10.1007/978-3-642-33374-3_32
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